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CURRICULUM VITAE NAME: David J. Wollkind EDUCATION Rensselaer Polytechnic Institute B.S. Mathematics 1964 Rensselaer Polytechnic Institute M.S. Mathematics 1966 Rensselaer Polytechnic Institute Ph.D. Mathematics 1968 EMPLOYMENT NASA Trainee, Rensselaer Polytechnic Institute Mathematics 1964-67 Teaching Assistant, Rensselaer Polytechnic Institute Mathematics 1967-68 Instructor, SUNY@Albany Mathematics 1968-69 Postdoctoral Research Associate, SUNY@Albany Chemistry 1968-70 Assistant Professor, Washington State University Mathematics 1970-74 Associate Professor, Washington State University Mathematics 1974-80 Professor, Washington State University Mathematics 1980-2015 Professor Emeritus, Washington State University Mathematics MEMBERSHIPS HONOR SOCIETIES Sigma Xi Pi Mu Epsilon Kappa Mu Epsilon PROFESSIONAL SOCIETIES American Mathematical Society American Association for the Advancement of Science Crystal Growth Society Society for Industrial and Applied Mathematics Society for Population Ecology Academy of Applied Mechanics American Physical Society Society for Mathematical Biology

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PUBLICATIONS 1. A nonlinear stability analysis of the freezing of a dilute binary alloy, (with L. A.

Segel), J. of Crystal Growth 3-4, 1968, 600. 2. Linear perturbation analysis of the stability of a disassociating fluid (with H. L.

Frisch), Physics of Fluids 13, 1970, 52-61. 3. A nonlinear stability analysis of the freezing of a dilute binary alloy (with L. A.

Segel), Phil. Trans. Roy Soc. London 268, 1970, 351-380. 4. Chemical instabilities I: A heated horizontal layer of dissociating fluid (with H. L.

Frisch), Physics of Fluids 14, 1971, 13-18. 5. Chemical instabilities III: A nonlinear stability analysis of a heated horizontal layer

of dissociating fluid (with H. L. Frisch), Physics of Fluids 14, 1971, 482-487. 6. Comments on chemical instabilities (with J. Bdzil), Physics of Fluids, 1971, 1813-

1814. 7. A linear stability analysis of an interface in an isothermal phase transformation with

a concentration-dependent diffusion coefficient, J. of Appl. Physics 43, 1972, 3663-3670.

8. Comments on the principle of exchange of stabilities, Physics of Fluids 16, 1973,

955. 9. A nonlinear stability analysis of the melting of a dilute binary alloy (with S. Raissi),

J. of Crystal Growth 26, 1974, 277-293. 10. Exploitation in three trophic levels: An extension allowing intraspecies carnivore

interaction, Amer. Nat. 110, 1976, 431-447. 11. The use of singular perturbation techniques as a tool of modeling ecosystems (with

J. Logan), in: Asymptotic Methods and Singular Perturbations, (Ed.) R. E. O'Malley, Jr, AMS, 1976 pp. 151-152.

12. An analytic model for description of temperature dependent rate phenomena in

arthropods (with J. A. Logan, S. C. Hoyt, and L. K. Tanigoshi), Environ. Entmol. 5, 1976 , 1133-1140.

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13. Singular perturbation techniques: A comparison of the method of matched asymptotic expansions with that of multiple scales, SIAM Review 19, 1977, 502-516.

14. A mathematical model relevant to the representation of a temperature dependent

predator-prey mite ecosystem on apples (with J. A. Logan), Proceedings of the First International Conference on Mathematical Modeling IV, (Ed.) X. J. R. Avula, Univ. of Missouri-Rolla, St. Louis, 1977, pp. 2137-2146.

15. The influence on a stability analysis involving a prototype solidification problem of

including an interfacial surface entropy effect in the heat balance relationship at the interface (with R. N. Maurer), J. of Crystal Growth 42, 1977, 24-30.

16. Temperature-dependent predator-prey mite ecosystem on apple tree foliage (with

J. A. Logan), J. Math Biology 6, 1978, 265-283. 17. Asymptotic methods for modeling biological processes (with J. A. Logan and A.

A. Berryman), Res. Pop. Ecol. 20, 1978, 79-90. 18. A deterministic continuum mechanical approach to morphological stability of the

solid-liquid interface, Preparation and Properties of Solid State Materials 4, (Ed.) W. R. Wilcox, Marcel Dekker, New York, 1979, pp. 111-191.

19. A stability analysis of a prototype moving boundary problem in heat flow and

diffusion (with D. B. Oulton and R. N. Maurer), Amer. Math Monthly 3, 1979, 175-186.

20. A continuum model appropriate for nonlinear analysis of the solidification of a

pure metal (with R. N. Maurer and R. D. Notestine), in: Applied Nonlinear Analysis, (Ed.) V. Lakshmikantham, Acad. Press, New York, 1979, pp. 657-668.

21. Models involving differential and integral equations appropriate for describing a

temperature dependent predator-prey mite ecosystems on apples (with A. Hastings and J. A. Logan), in Modeling and Differential Equations in Biology, (Ed.) T. A. Burton, Marcel Dekker, New York, 1980, pp. 255-277.

22. Functional response, numerical response, and stability in arthropod predator-prey

systems involving age structure (with A. Hastings and J. A. Logan), Res. Pop. Ecol. 22, 1980, 323-338.

23. A nonlinear stability analysis of the solidification of a pure substance (with R. D.

Notestine), J. Inst. Math and Its Appl. 27, 1981, 85-104.

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24. A Newtonian fluid model of the onset of plane folding in a single rock layer with

surface tension effects (with J. I. D. Alexander), Math. Modelling 2, 1981, 319-348.

25. Age structure in predator-prey systems I: A general model and a specific example

(with A. Hastings), Theor. Pop. Biology 21, 1982, 44-56. 26. Age structure in predator-prey systems II: Functional response and stability and

the paradox of enrichment (with A. Hastings and J. A. Logan), Theor. Pop. Biology 21, 1982, 57-68.

27. Onset of Rayleigh-Bénard-Marangoni instability: Comparison between theory and

experiment (with E. Ferm) J. Non-Equilib Thermodyn. 7, 1982, 169-190. 28. Kelvin-Helmholtz instability in a layered Newtonian fluid model of the geological

phenomenon of rock folding (with J. I. D. Alexander), SIAM J. Appl. Math 42, 1982, 1276-1295.

29. A theoretical investigation of the development of interfacial cells during the

solidification of a dilute binary alloy: Comparison with the experiments of Morris and Winegard (with R. Sriranganathan and D. B. Oulton), J. of Crystal Growth 62, 1983, 265-283.

30. Age structure in predator-prey systems: Instraspecific carnivore interaction,

passive diffusion, and the paradox of enrichment (with J. L. Smith), J. Math. Biology 14, 1983, 275-288.

31. A mathematical model of the paradox of enrichment in arthropods: Comparison

between theory and experiment (with J. L. Smith), Northwest Science, 57, 1983, 241-248.

32. A nonlinear stability analysis of a model equation for alloy solidification (with D.

B. Oulton and R. Sriranganathan), J. Physique 45, 1984, 505-516. 33. Interfacial patterns during plane front alloy solidification (with R. Sriranganathan

and D. B. Oulton), Physica 12D, 1984, 215-240. 34. Metastability of forest ecosystems infested by bark beetles (with A. A. Berryman

and N. C. Stenseth), Res. Pop. Ecol. 26, 1984, 13-29.

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35. A stability analysis relevant to forest ecosystems infested by bark beetles and the paradox of enrichment (with A.A. Berryman and N.C. Stenseth), in Mathematical Models of Renewable Resources, III, (Ed.) R. Lamberson, Assoc. of Res. Modelers, Arcata, CA.,1984, pp. 65-74.

36. A new prototype problem for nonlinear stability theory: Plane-front alloy

solidification versus free-surface Bénard convection, in Mathematics Applied to Fluid Mechanics and Stability, (Eds.) J. E. Flaherty and D. A. Drew, SIAM, Phil., 1986, pp. 205-217.

37. Applications of linear hyperbolic partial differential equations: Predator-prey

systems and gravitational instability of nebulae, Mathematical Modelling 7, 1986, 413-428.

38. The effect of latent heat on weakly nonlinear morphological stability (with J. I. D.

Alexander and R. F. Sekerka), J. Crystal Growth 79, 1986, 849-865. 39. Nonlinear analyses of phase change and crystal growth phenomena, in Structure

and Dynamics of Partially Solidified Systems, (Ed.) D. Loper, Martinus Nijhoff Publishers, Dordrecht, 1987, pp. 81-94.

40. A nonlinear stability analysis of a model equation for liquid phase electro-epitaxial

growth of a dilute binary substance (with S. M. Wang), SIAM J. Appl. Math 48, 1988, 52-78.

41. A nonlinear stability analysis of a model equation for alloy solidification, II (with

B. H. Zhang), Nonlinear Analysis: Theory, Methods and Applications 12, 1988, 617-645.

42. Temperature-mediated stability of the interaction between spider mites and

predatory mites in orchards (with J. B. Collings and J. A. Logan), Experimental and Applied Acarology 5, 1988, 265-292.

43. Metastability in a temperature-dependent model system for predator-prey mite

outbreak interactions on fruit trees (with J. B. Collings and J. A. Logan), Bull. Math. Biol. 50, 1988, 379-409.

44. A nonlinear stability analysis of a fixed-boundary model equation for alloy

solidification (with B. H. Zhang), Mathl. Comput. Modelling 12, 1989, 17-43.

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45. Comparison of nonlinear stability results for free boundary model equations of LPE and LPEE processes (with S. M. Wang), in Proceedings of the 1987 IRSEE Conference on Free Boundary Problems, (Ed.) K. H. Hoffman.

46. An interfacial model equation for the bifurcation of solidification patterns during

LPEE processes (with M. Vislocky), Earth-Science Reviews 29, 1990, 349-368. 47. Outbreaks and oscillations in a temperature-dependent model for a mite predator-

prey interaction (with J. B. Collings and M. E. Moody), Theor. Pop. Biology 38, 1990, 158-190.

48. A global analysis of a temperature-dependent model system for a mite predator-

prey interaction (with J. B. Collings), SIAM J. Appl. Math 50, 1990, 1348-1372. 49. Metastability, hysteresis, and outbreaks in a temperature-dependent model for a

mite-predator-prey interaction (with J. B. Collings), Mathl .Comput. Modelling 13, 1990, 91-103.

50. Diffusive instabilities in a one-dimensional temperature-dependent model system

for a mite predator-prey interaction on fruit trees: Dispersal motility and aggregative preytaxis effects (with J. B. Collings and M. C. Barba), J. Math. Biol. 29, 1991, 339-362.

51. The effect of suspended particles on Jeans' criterion for gravitational instability

(with K. R. Yates), Mathl. Comput. Modelling 16, 1992, 143-156. 52. The effect of suspended particles on Rayleigh-Bénard convection I. A nonlinear

stability analysis of a thermal equilibrium model (with L. Zhang), Mathl. Comput. Modelling 19, 1994, 11-42.

53. The effect of suspended particles on Rayleigh-Bénard convection II. A nonlinear

stability analysis of a thermal disequilibrium model (with L. Zhang), Mathl. Comput. Modelling 19, 1994, 43-74.

54. Weakly nonlinear stability analyses of prototype reaction-diffusion model

equations (with V. S. Manoranjan and L. Zhang), SIAM Review 36, 1994, 176-214.

55. Weakly nonlinear stability analyses of one-dimensional Turing pattern formation in

activator-inhibitor/immobolizer model systems (with L. E. Stephenson), J. Math. Biol. 33, 1995, 771-815.

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56. A nonlinear stability analysis of a prototype model for Rayleigh-Bénard convection in planetary atmospheres (with L. Zhang), in Nonlinear Instabilbity Analysis, (Eds.) S. Choudhury and L. Debnath, Computational Mechanics Publications, Southhampton, 1997, pp. 123-144.

57. A nonlinear stability analysis of a prototype model for one-layer-Bénard-

Marangoni convection with a deformable interface (with L. Zhang and L. E. Stephenson), in Nonlinear Instability Analysis, (Eds.) S. Choudhury and L. Debnath, Computational Mechanics Publications, Southhampton, 1997, pp. 145-183.

58. Chemical Turing pattern formation analyses: Comparison of theory with

experiment (with L. E. Stephenson), SIAM J. Appl. Math. 61, 2000, 387-431.

59. Rhombic and hexagonal planform weakly nonlinear stability analyses: Theory and application, in Nonlinear Instability Analysis Vol. II, (Ed.) L. Debnath , WIT Press, Southhampton, 2001, pp. 221-272.

60. Chemical Turing patterns: A model system of a paradigm for morphogenesis (with

L. E. Stephenson) in Mathematical Models for Biological Pattern Formation , (Eds.) P. H. Maini and H. G. Othmer, IMA Volumes in Mathematics and its Applications, Springer-Verlag, Berlin , 2001, pp. 113-142.

61. A nonlinear stability analysis of pattern formation in thin liquid films (with E. M.

Tian), Interfaces and Free Boundaries 5, 2003, 1-25.

62. A nonlinear stability analysis of pattern formation in isothermal thin liquid films (with E. M. Tian), Dynamics of Continuous, Discrete, and Impulsive Systems: Series A 10, 2003, 759-782. 63. Modeling of bone formation and resorption mediated by parathyroid hormone: Response to estrogen/PTH therapy (with C. Rattanakul, Y. Lenbury, and N. Krishnamara), BioSystems 70, 2003, 55-72.

64. Nonlinear stability analyses of pattern formation on solid surfaces during ion-sputtered erosion (with A. Pansuwan, C. Rattanakul, Y. Lenbury, L. Harrison, I. Rajapakse, and K. Cooper), Mathl. Comput. Modelling 41, 2005, 939-964. 65. Non-linear stability analyses of optical pattern formation in an atomic sodium vapour ring cavity (with D. E. Edmeade and F. J. Alvarado), IMA J. of Appl. Math. 73, 2008, 902-935.

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66. Weakly nonlinear analysis of a model of signal transduction pathway involving membrane based receptors (with C. Rattanakul, Y. Lenbury, and V. Chatsudthipong), Nonlinear Analysis: Theory, Methods and Applications 71, 2009, e1620-e1625. 67. Nonlinear stability analyses of vegetative pattern formation in an arid environment (with N. Boonkorkuea, Y. Lenbury, and F. J. Alvarado), J. Biol. Dyn. 4, 2010, 346-380. 68. A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment (with B. J. Kealy), Bull. Math. Biol. 74, 2012, 803-833. 69. Nonlinear stability analyses of Turing patterns for a mussel-algae model (with R. A. Cangelosi, B. J. Kealy-Dichone, and I. Chaiya), J. Math. Biol. 70, 2015,1249-1294. 70. Rhombic analysis extension of a plant-surface water interaction-diffusion model for hexagonal pattern formation in an arid flat environment (with B.J. Kealy-Dichone and R.A. Cangelosi), Amer. J. Plant Sciences 6, 2015, 1256-1277. 71. Vegetative rhombic pattern formation driven by root suction for an interaction-diffusion plant-ground water model system in an arid flat environment (with I. Chaiya, R. A. Cangelosi, and B. J. Kealy-Dichone), Amer. J. Plant Sciences 6, 2015, 1278-1300.

CURRICULUM DEVELOPMENT AND INSTRUCTION

• Courses taught: MATH 140, 141, 171, 172, 273, 315, 340, 440, 441, 486, 504, 508, 512, 540, 541, 570,

571, 586.

• Courses developed: MATH 140, 141, 340, 486, 508, 570, 571, 586. GRADUATE STUDENTS AND POSTDOCTORAL SCHOLARS Raissi, S. (PhD, 1973); Colbert, J.J. (PhD, 1975); Oulton, D. (PhD, 1976); Logan, J.A. (PhD, 1977); Maurer, R.N. (PhD, 1977); Notestine, R.D. (PhD, 1979); Ferm, E. (PhD, 1981); Alexander, I. (PhD, 1981); Bradley, E. (PhD, 1981); Sriranganathan, R. (PhD, 1982); Smith, J. (PhD, 1982); Zhang, B. (PhD, 1985); Wang, S. (PhD, 1986); Collings, J. (PhD, 1987; Postdoc. 1987-1990); Vislocky, M. (PhD, 1988); Zhang, L. (PhD, 1993); Stephenson, L. (PhD, 1996); Tian, M. (PhD, 2001); Rattanakul, C. (Postdoc. 2001);

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Edmeade, D.E. (PhD, 2003); Alvarado, F.J. (PhD 2005); Pansuwan, A. (PhD, 2005); Boonkorkuea, N. (PhD, 2009); Kealy-Dichone, B. J. (PhD, 2011; Postdoc. 2011-2013); Cangelosi, R.A. (PhD, 2014); Chaiya, I. (PhD, 2015).

PAPERS PRESENTED 1. A nonlinear stability analysis of the freezing of a dilute binary alloy, Sixth U.S.

National Congress of Applied Mechanics at Harvard University, June 19, 1970 (refereed conference).

2. A nonlinear stability analysis of a heated horizontal layer of dissociating fluid, 1970

Regional SIAM Meeting at Washington State University, November 7, 1970. 3. A pattern analysis of a linear retina by a local perception device, 1971 Northwest

Section of the AAS Meeting at University of Idaho, April 1971. 4. A linear stability analysis of an interface in an isothermal phase transformation with

a concentration dependent diffusion coefficient, 1971 Regional SIAM Meeting at CWSC, November 1971, and at the WSU Conference on Mathematical Topics in Stability Theory, March 1972.

5. A nonlinear stability analysis of the melting of a dilute binary alloy, AMS National

Meeting at San Francisco, January 1974, and Seventh National Congress of Applied Mechanics at University of Colorado, June 1974 (refereed conference).

6. Exploitation in three trophic levels: An extension allowing intraspecies carnivore

interaction, at the WSU Conference in Biomathematics and Biostatistics, May 1974.

7. Stability criteria for a semi-quadratic secular equation relevant to the investigation

of alloy phenomena, Regional SIAM Meeting at WSU, June 1975. 8. Mathematical stability analyses relevant to continuum phenomena involving

surfaces of discontinuity, at the 1975 SIAM-AMS Summer Seminar in Applied Mathematics, Modern Modeling of Continuum Phenomena, R.P.I., Troy, New York, July 1975.

9. Stability techniques relevant to the melting or solidification of a dilute binary alloy,

ACCG III, Stanford University, Palo Alto, California, July 1975. 10. The use of singular perturbation techniques as a tool for modeling ecosystems,

SIAM-AMS Symposium on Asymptotic Methods and Singular Perturbations, New York City, New York, April 1976, (invited) paper.

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11. The influence on a stability analysis involving a prototype solidification problem of

including an interfacial surface entropy effect in the heat balance relationship at the interface, ICCG V, M.I.T., July 1977 (refereed conference).

12. The influence on a prototype solidification problem of including a surface entropy

effect at the interface, R.P.I. Colloquium, Troy, New York, July 1977, (invited). 13. A mathematical model relevant to the representation of a temperature dependent

mite ecosystem on apples, First International Conference on Mathematical Modeling, St. Louis, MO, August 1977 (refereed conference).

14. A prototype moving boundary problem in heat flow and diffusion, Symposium on

moving boundary problems, Gatlinberg, Tennessee, September 1977 (refereed conference; presented by R. N. Maurer).

15. A continuum model appropriate for nonlinear analysis of the solidification of a

pure metal, International Conference on Applied Nonlinear Analysis, University of Texas at Arlington, Arlington, Texas, April 1978 (refereed conference) and at ACCG IV, NBS, Gaithersburg, Maryland, July 1978 (presented by R.N. Maurer).

16. Models involving differential and integral equations appropriate for describing a

temperature dependent predator-prey mite ecosystem on apples, NSF-CBMS Regional Conference on Modeling and Differential Equations in Biology, Southern Illinois University, Carbondale, Illinois, June 1979 (refereed conference; presented by A. Hastings).

17. A predator-prey mite ecosystem on apple tree foliage, Special Applied

Mathematics Seminar, Old Dominion University, Norfolk, Virginia, January 30, 1979.

18. A tectonophysical phenomenon: The onset of folding viewed as an instability in a

Newtonian fluid, Special Applied Mathematics Seminar, Old Dominion University, Norfolk, Virginia, February 1, 1979.

19. An integral equation approach appropriate for modeling arthropod predator-prey

systems involving age structure, Mathematics Colloquium, Colorado State University, Fort Collins, Colorado, April 10, 1979.

20. A tectonophysical phenomenon: The onset of folding viewed as an instability in a

layered Newtonian fluid involving surface tension, Special Session Mathematical

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Modeling, AMS Meeting, New York City, New York, April 20, 1979 (invited paper).

21. A tectonophysical phenomenon: The onset of folding viewed as an instability in a

layered Newtonian fluid involving surface tension, Pacific Division, AAAS Meeting, University of Idaho, Moscow, Idaho, June 4, 1979.

22. A nonlinear stability analysis of the solidification of a pure metal, AICHE 87th

National Meeting, August 22, 1979, Boston, Massachusetts (presented by R. N. Maurer) (refereed conference).

23. A Newtonian fluid model with surface tension effects appropriate for representing

the onset of folding in a single rock layer: An alternative to a Non-Newtonian approach, 1979 Annual Meeting of the Geological Society of America, San Diego, California, November 5, 1979 (refereed conference).

24. A linear stability analysis of the buoyancy and surface tension-driven Bénard

problem and Kelvin-Helmholtz instability in a layered Newtonian fluid model of the geological phenomenon of rock folding, 1981 National Meeting, June 8, 1981, R.P.I., Troy, New York.

25. Layered fluid models for natural convection and rock folding, 1981 AMS-SIAM

Summer Seminar on Fluid Dynamical Problems in Astrophysics and Geophysics, July 1, 1981, University of Chicago, Chicago, Illinois.

26. A linear stability analysis of the buoyancy and surface tension-driven Bénard

problem and Kelvin-Helmholtz instability in a layered Newtonian fluid model of the geological phenomenon of rock folding, 34th Annual Meeting of the Division of Fluid Dynamics, Naval Postgraduate School, Monterey, California, November 23-24, 1981.

27. The development of interfacial cells during the solidification of a dilute binary

alloy, Sixth Conference on Crystal Growth, Fallen Leaf Lake, California, June 2, 1982.

28. The mathematical development of interfacial cells during the solidification of a

dilute binary alloy, Sixth Conference on Crystal Growth, SIAM 30th Anniversary Meeting, Stanford, California, July 21, 1982.

29. The paradox of enrichment in arthropods: Comparison between theory and

experiment, SIAM 30th Anniversary Meeting, Stanford, California, July 20, 1982.

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30. Solidification theory, Institute for Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota, January 20, 21,and 24, 1983 (set of invited lectures for the Winter Session on Phase Transformations).

31. Interfacial patterns during plane front alloy solidification, Los Alamos Conference

on Fronts, Interfaces, and Patterns, Los Alamos Center for Nonlinear Studies, New Mexico, May 5, 1983 (invited).

32. Age structure and the paradox of enrichment, MAA Pacific Northwest Section,

University of Idaho, Moscow, Idaho, June 17, 1983, and at the 67th Annual Meeting of the Entomological Society of America, Pacific Branch, Spokane, Washington, June 23, 1983.

33. Of mites and metals: Modern developments in the modeling of biological control

and alloy solidification, Special 60th Birthday Conference for Joseph Keller on Modern Developments in Applied Mathematics, Northwestern University, Evanston, Illinois, August 31, 1983.

34. Stability analyses relevant to forest ecosystems infested by bark beetles and the

paradox of enrichment for mite exploitation systems on oranges, The Third Pacific Coast Resource Modeling Conference, June 14-16, 1984, Davis, CA and July 17, 1984, at the SIAM summer meeting, U. of Washington, Seattle, WA.

35. Hexagonal patterns in convection layers and on solidification inter-faces, 23rd

Annual Northwest Mathematics Conference, October 11-13, 1984, at the U. of Oregon, Eugene, Oregon.

36. Pattern selection during alloy solidification: Comparison with the Bénard problem,

SIAM Spring meeting, June 14, 1985, Pittsburgh, PA (invited minisymposium entitled Pattern Selection in Solidification Phenomena).

37. Bifurcation theory and the paradox of enrichment, SIAM Fall meeting, October

30, 1985, at ASU, Tempe, AZ (invited minisymposium entitled Bifurcation Problems in the Life Sciences).

38. A new prototype problem for nonlinear stability theory: Plane-front alloy

solidification versus free-surface Bénard convection, Conference on Mathematics Applied to Fluid Mechanics and Stability, September 10, 1985, R.P.I., Troy, NY.

39. Nonlinear analyses of phase change and crystal growth phenomena, NATO

Workshop on the Structure and Dynamics of Partially Solidified Systems, May 13,

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1986, Fallen Leaf Lake, California (invited address given jointly with Dean R.F. Sekerka of Carnegie-Mellon University).

40. Mathematical analyses of model systems in population biology, Gordon Research

Conference on Theoretical Biology and Biomathematics, June 11, 1986, Tilton School, New Hampshire.

41. A temperature mediated instability in a predator-prey mite interaction on fruit

trees, October 22, 1986, Natural Resource Ecology Laboratory, Fort Collins, Colorado (invited NREL seminar).

42. Metastable nonlinear behavior in a temperature-dependent model system for

predator-prey mite outbreak interactions on fruit trees, Los Alamos conference on Nonlinearities in Biology and Medicine, Los Alamos Center for Nonlinear Studies, Los Alamos, New Mexico, May 19, 1987.

43. Arthropod outbreaks in predator controlled systems: Or new dimensions in

stability analysis, Sixth Pacific Coast Resource Modeling Conference, University of British Columbia, Vancouver, B.C., June 12, 1987.

44. Temperature-mediated stability of the interaction between spider mites and

predatory mites in orchards, Symposium: Population Dynamics of Spider Mites and Predatory Mites, Royal Tropical Institute, Amsterdam, The Netherlands, July 8, 1987 (invited address).

45. Metastability in a temperature-dependent model system for predator-prey mite

outbreak interactions on fruit trees, Department of Entomology, Ohio State University, Columbus, Ohio, October 26-27, 1987 (invited colloquia).

46. Bifurcations of interfacial solidification patterns, Geochemical Self-Organization

Workshop, University of California at Santa Barbara, Santa Barbara, California, June 27, 1988, (invited address).

47. Oscillations and outbreaks in three temperature dependent models for the mite

predator-prey interaction between Metaseiulus Occidentalis and Tetranychus Mcdanieli , XVIII, Internaqtional Congress of Entomology, University of British Columbia, Vancouver, B.C., July 6, 1988.

48. Of mites and models, 39th Annual Meeting of the American Institute of Biological

Sciences, University of California at Davis, Davis, California, August 15, 1988.

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49. The effect of suspended particles on Jeans' criterion for gravitational instability, second Wyoming Conference on the Interstellar Medium in External Galaxies, Grand Teton National Park, Wyoming, July 5,1989.

50. Metastability, hysteresis, and outbreaks in a temperature-dependent model for a

mite predator-prey interaction, International workshop on the Population Dynamics of Outbreaks, University of Alberta, Edmonton, Alberta, August 28, 1989 (invited address given by J.B. Collings).

51. Nonlinear stability analysis of pattern formation in dissipative systems, SIAM

Conference on Mathematical and Computation Issues in Geophysical Fluid and Solid Mechanics, Houston, Texas, September 27, 1989 (invited minisymposium entitled Some Analytic Advances in Differential Equations, Numerical Methods, and Inverse Problems).

52. Diffusive versus morphological instability: Analogous ecological and solidification

nonlinear pattern regulation, SIAM Annual Meeting, Chicago, July 17, 1990 (invited minisymposium entitled Nonlinear Patterns and Dynamical Behavior of Biological Reaction-Diffusion Systems).

53. The effect of suspended particles on Rayleigh Bénard convection, ICIAM 91,

Washington, D.C., July 8, 1991. 54. Diffusive instability pattern formation in a model system for mite interaction on

fruit trees, ICIAM 91, Washington, D.C., July 9, 1991 (invited mini symposium entitled Models for Biological Pattern Formation).

55. The effect of suspended particles on the stability of Rayleigh-Bénard convection,

44th Annual Meeting of the Division of Fluid Dynamics, Scottsdale, Arizona, November 25, 1991.

56. Modeling the dynamics and spatiotemporal distribution of spider mites and

predatory mites relevant to biocontrol interactions on renewable resources, Pacific Northwest Workshop on Mathematical Biology, Seattle, April 5, 1992 (invited address).

57. Modeling the dynamics and pattern formation of a temperature sensitive predator-

prey mite system on fruit trees, Gordon Research Conference on Theoretical Biology and Biomathematics, Tilton, New Hampshire, June 11, 1992 (invited address).

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58. Weakly nonlinear stability analyses of pattern formation in biological reaction-diffusion model systems, Society of Mathematical Biology Annual Meeting, University of California, Berkeley, California, July 26, 1992 (invited address).

59-61. A nonlinear stability analysis of a unified aerosol model for thin-layer Rayleigh-

Bénard convection, SIAM Conference on Applications of Dynamical Systems, Snowbird, Utah, October 17, 1992; Dynamics Days at Arizona State University, Phoenix, Arizona, January 7, 1993 (presented by L. Zhang); and Workshop on Perturbation Methods in Physical Mathematics, Rensselaer Polytechnic Institute, Troy, N.Y., June 24, 1993.

62. The effect of suspended particles on the stability of Rayleigh-Bénard convection in

gases, 12th U.S. National Congress of Applied Mechanics, University of Washington, Seattle, Washington, June 27, 1994.

63. A thermal disequilibrium reaction-diffusion heat equation model for the nonlinear

stability of two-dimensional convective patterns in aerosols, International Conference on Nonlinear Dynamics and Pattern Formation in the Natural Environment, Noordwijkerhout, The Netherlands, July 7, 1994 (invited address).

64-65. Weakly nonlinear stability analyses of Turing pattern formation in a CIMA/starch

model system, 899th Meeting of the American Mathematical Society, University of Central Florida, Orlando, Florida, March 17, 1995 (special session on Nonlinear Dynamical Systems, Chaos, and Turbulence); and Pacific Northwest Workshop on Mathematical Biology, University of British Columbia, Vancouver, B. C., May 5 , 1995.

66. Nonlinear stability analysis of two-dimensional convective patterns in aerosols

viewed as an inverse problem, 899th Meeting of the American Mathematical Society, University of Central Florida, Orlando, Florida, March 18, 1995 (special .session on Inverse and Ill-posed Problems).

67-71. Chemical Turing pattern formation analyses: Comparison of theory with

experiment, Mathematics Department Colloquium, Harvey Mudd College, Claremont, California, March 18, 1996; Pacific Northwest Workshop on Mathematical Biology, Washington State University, Pullman, Washington, March 22, 1997; SIAM 45th Anniversary Meeting, Stanford University, Palo Alto, California, July 15, 1997 (invited minisymposium entitled Modeling Natural Science Phenomena: Comparison of Theory with Experiment); Distinguished Lecture Series, Institute of Applied Mathematics, University of British Columbia, Vancouver, B. C., September 22, 1997 (invited address); and Gordon Research Conference on Theoretical Biology and Biomathematics, Tilton, New Hampshire,

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June 10, 1998. 72. Chemical Turing patterns: A paradigm for morphogenesis, Institute for

Mathematics and its Applications, University of Minnesota, Minneapolis, Minnesota, September 14, 1998 (invited address at the IMA Mathematics in Biology workshop on Pattern Formation and Morphogenesis: Model Systems).

73. The effect of suspended smoke particles on the stability of Rayleigh-Bénard

convective flow in thin gas layers, 35th Annual Meeting of the Society of Engineering Science, Washington State University, Pullman, Washington, September 29, 1998 (symposium on Dynamics of Particles in Fluids in Dense Two-Phase Flows).

74. Nonlinear stability analyses of a unified chemical Turing pattern formation

reaction-diffusion model system, International conference on differential equations and nonlinear mechanics, University of Central Florida, Orlando, Florida, March, 19, 1999 (invited address).

75. Nonlinear stability analyses of pattern formation in thin liquid films, SIAM Annual Meeting, San Diego, California, July 10, 2001 (invited minisymposium

entitled Mathematical Modeling of Biological Pattern Formation). 76. Partial differential equation modeling of materials science hexagonal pattern formation, Progress in Partial Differential Equations, Washington State University,

Pullman, Washington, May 24, 2002 (invited address). 77. Modeling of materials science hexagonal pattern formation, SIAM 50th Anniversary Meeting, Philadelphia, Pennsylvania, July 9, 2002 (invited

minisymposium entitled Mathematical Modeling of Materials Science Pattern Formation).

78. Nonlinear stability analyses of pattern formation in the natural sciences: The Legacy of Lee Segel, BIRS Workshop on Mathematical Biology: From Molecules

to Ecosystems: The Legacy of Lee Segel, Banff, Alberta, Canada, July 7, 2003 (invited address).

79. Nonlinear stability analyses of hexagonal pattern formation in the natural sciences, Wright State University, Dayton, Ohio, October 3, 2003. 80. A nonlinear stability analysis of chemical Turing hexagonal pattern formation, SIAM Annual Meeting, Portland, Oregon, July 14, 2004 (invited minisymposium

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entitled Turing Patterns in Developmental Biology). 81. Nonlinear stability analyses of pattern formation on solid surfaces during ion- sputtered erosion at normal incidence, MME Symposium, Pullman, Washington, October 13, 2005. 82. Nonlinear stability analyses of pattern formation on solid surfaces during normal- incidence ion-sputtered erosion, Showcase 2007, WSU, Pullman, Washington, March 23, 2007. 83. Nonlinear stability analyses of pattern formation on solid surfaces during ion- sputtered erosion, Wright State University Colloquium, Wright State University, Dayton, Ohio, September 14, 2007. 84. Nonlinear stability analyses of optical pattern formation in an atomic sodium vapor ring cavity, Showcase 2008, WSU, Pullman, Washington, March 28, 2008. 85. Nonlinear stability analyses of optical pattern formation in an atomic sodium vapor ring cavity, Annual Meeting of the Northwest Section of the American Physical Society, Lewis & Clark College, Portland, Oregon, May 16, 2008. 86. Nonlinear stability analyses of vegetative pattern formation in an arid environment, Showcase 2009, WSU, Pullman, Washington, March 29, 2009. 87. Using the Theis solution to evaluate ground-water flow in the Pullman-Moscow basaltic aquiver (invited address given by J. Wu), Pacific Northwest Conference on Comprehensive Mathematical Modeling in the Natural and Engineering Sciences Organized in the Spirit of L. A. Segel, WSU, Pullman, Washington, June 3, 2009. 88. Nonlinear stability analyses of vegetative pattern formation in an arid environment: Presented in the spirit of a testimonial to Lee A. Segel, Pacific Northwest Confer- ence on Comprehensive Mathematical Modeling in the Natural and Engineering Sciences: Presented in the Spirit of L. A. Segel, WSU, Pullman, Washington, June 6, 2009 (invited address). 89. Nonlinear stability analyses of vegetative pattern formation in an arid environment, Academic Leaders Program, Technologico de Monterey/ Campus Guadalajara, Guadalajara, Mexico, September 14, 2009 (invited lecture).

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90-91.A one-dimensional nonlinear stability analysis of vegetative pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment,Showcase 2010, WSU, Pullman, Washington, March 26, 2010, and

Joint Mathematics Meetings 2011, New Orleans, January 9, 2011. 92. A nonlinear stability analysis of vegetative Turing pattern formation for an interaction-diffusion plant-surface water model system in an arid flat environment, ICIAM 2011, Vancouver, B. C., July 19, 2011. 93. Vegetative Turing Pattern Formation: A Historical Perspective, Joint Mathematics

Meetings, Boston, January 4, 2012. 94. A Nonlinear Stability Analysis of Vegetative Turing Pattern Formation for an

Interaction-Diffusion Plant-Surface Water Model System in an Arid Flat Environment, Joint Mathematics Meetings, Boston, January 5, 2012.

95-96. Vegetative Pattern Formation Model Systems: Comparison of Turing Diffusive and

Differential Flow Instabilities, Joint Mathematics Meetings, Boston, January 6, 2012; and SIAM Conference on Nonlinear Waves and Coherent Structures, Seattle, June 15, 2012.

97. Stripes versus Spots in Reaction-Diffusion Systems: Comparison of Vegetative and

Chemical Turing Pattern Formation, Joint Mathematics Meetings, Boston, January 7, 2012.

98-99. A Vegetative Pattern Formation Aridity Classification Scheme along a Rainfall Gradient: An Example of Desertification Control, Joint Mathematics Meetings, Boston, January 7, 2012; and Showcase 2012, WSU, Pullman, Washington, March 30, 2012. 100. Mussel Pattern Formation Model Systems: Comparison of Turing Diffusive and Differential Flow Instabilities, SIAM Conference on Nonlinear Waves and Coherent Structures, Seattle, June 15, 2012. 101. The Sustainability of Vegetative Pattern Formation along a Rainfall Gradient in an

Arid Flat Environment, Society for Mathematical Biology Annual Meeting, Tempe, June 11, 2013.

102. Nonlinear Stability Analyses of the Sustainability of Ecological Turing Pattern

Formation for an Interaction-Diffusion Mussel-Algae System in a Static Marine Layer, Society for Mathematical Biology Annual Meeting, Tempe, June 11, 2013.

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103-104. A Model for Soil-Plant-Surface Water Relationships in Arid Flat Environments, AAAS Pacific Division, Annual Meeting, Las Vegas, June 17, 2013, and PNW MAA, Annual Meeting, Missoula, June 28, 2014

105-107. Nonlinear Stability Analyses of Turing Patterns for a Mussel-Algae Model,

University of Central Florida Colloquium, Orlando, March 20, 2014; Showcase 2014, Pullman, WA, March 28, 2014; and PNWMAA, Annual Meeting, Missoula, June 28, 2014

108-112. Vegetative rhombic pattern formation driven by root suction for an interaction-

diffusion plant-ground water model system in an arid flat environment, Showcase 2015, March 27, 2015; and NWAPS Meeting, Pullman, WA May 14, 2015; and Joint Mathematics Meetings, Seattle, WA, January 7, 2016; and Data Science Day, Pullman, WA, April 24, 2016; and Brown University, Providence, RI, May 26, 2016.

GRANTS Title Agency Period & Budget Three-dimensional nonlinear NSF 7/79-5/82 stability analysis of a dilute Division of Materials Science $26,625 binary alloy (with D.B. Oulton, (WSU subcontract) Old Dominion University) Development of patterns and ONR 10/87-10/90 waves in moving-boundary and Math. Sciences Division $245,529 reaction-diffusion model systems (Applied Analysis) for engineering and natural science phenomena Mathematical stability ONR 10/90-10/94 analyses of Bénard convection Math. Sciences Division $209,240 (Applied Analysis) Pattern formation relevant NSF 8/96-8/00 to Turing and morphological Division of Math. Sciences $60,000 instabilities: Comparison of (Applied Mathematics) theory with experiment Workshop on Mathematical Biology NSF 6/97-5/98 (with E. Pate) Division of Math. Sciences $4,916 (Applied Mathematics)

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UBM: Foundation in mathematical NSF 9/05-8/10 biology through interdisciplinary $905,000 research, training, and curriculum development (with R. Gomulkiewicz, J. MacDonald, C. Omoto, D. Watkins, E. Pate) Pacific Northwest conference on NSF 7/08-6/10 comprehensive mathematical Division of Math. Sciences $23,967 modeling in the natural and (Applied Mathematics) engineering sciences organized in the spirit of L. A. Segel (with R. Dillon) Synergistic Activities

• WSU has a Memorandum of Understanding (MOU) with Mahidol University of Bangkok, Thailand, which allows faculty members from the Mathematics Department at WSU to serve as thesis advisers for PhD students in the Mathematics Department at Mahidol while the latter are Visiting Scholars at WSU. Under this program Adoon Pansawan, Nichaphat Boonkorkuea, and Inthira Chaiya performed dissertation research under David Wollkind’s supervision and returned to Mahidol where they defended their theses after the collaborative paper with Wollkind based on that research had been accepted for publication. All of these students received training in mathematical modeling by attending graduate courses Wollkind taught.

• Wollkind developed course material for, and served as the instructor of, Math 508 Topics

in Applied Analysis focusing on methods of solving applied linear systems and deducing asymptotic representations of integral representations for special functions, Math 486/586 Mathematical Modeling in the Natural Sciences, Math 440 / 540 Applied Mathematics I concentrating on the partial differential equations of mathematical physics, and Math 570 and 571 Mathematical Foundations of Continuum Mechanics I and II. Both MATH 440 / 540 and 486 / 586 are conjoint-listed courses aimed at serving both undergraduate and graduate students who have a strong interest in applying mathematics to solving frontier research problems in their respective disciplines. These courses focus on advanced mathematical modeling, in which various case studies from the physical, life, engineering, and social sciences are presented, and problem sets closely related to the case studies are developed to help the student better understand the concepts and analysis methods introduced in class. All five classes are regularly attended by students from the Mathematics, Physics, all the Engineering, and some of the Life Sciences Departments. These classes culminate with slide shows involving Wollkind’s research results in phenomenological modeling where the main emphasis is on a comparison between

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theoretical pattern formation predictions and experimental or observational data relevant to the phenomena under investigation.

• Wollkind served as the PI for the Pacific Northwest Conference on Comprehensive

Mathematical Modeling in the Natural and Engineering Sciences funded by the NSF Applied Mathematics Program (Grant DMS-0751308) and held in the summer of 2009. This four-day, interdisciplinary conference was organized in the spirit of L.A. Segel and attended by more than 40 theoretical and experimental scientists of different and diverse backgrounds who had been involved in comprehensive mathematical modeling. Set in a Gordon Conference type of atmosphere, the meeting allowed open discussions and exchanges between young and seasoned researchers.

• The work of Kealy and Wollkind on vegetative pattern formation in arid flat environments was featured in an article entitled “Mathematical Ecology: Spot Check” that appeared under the Science and Technology section on page 77 of the January 14-20, 2012, issue of The Economist.