David Wollkind

Continuum Mechanics $\bullet$ Asymptotic Methods $\bullet$ Stability Techniques
Mathematical Modeling

1. Chemical Turing pattern formation analyses: Comparison of theory with experiment (with L.E. Stephenson), SIAM J. Appl. Math., 61 (2000), 387-431.

2. 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.

3. Chemical Turing patterns: A model system of a paradigm for morphogenesis (with L.E. Stephenson) in: Mathematical Models for Biological Pattern Formation, (P.H. Maini and H.G. Othmer, Eds.), IMA Volumes in Mathematics and its Applications, Springer-Verlag, Berlin, (2001), 113-142.

4. A nonlinear stability analysis of pattern formation in thin liquid films (with E. Tian), Interfaces and Free Boundaries, 5 (2003) 1-25.

5. 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.

6. 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.

7. 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.