Dynamics, Instabilities, and Self-Replication of Spots in Two-Space
description to be written; pictures and movies
- The Stability and Dynamics of
Localized Spot Patterns in the Two-Dimensional Gray-Scott Model
with W. Chen (accepted, SIAM Journal of Applied
Dynamical Systems, (2011), 71 pages).
Spot Self-Replication and Dynamics for the Schnakenburg Model in
a Two-Dimensional Domain
with T. Kolokolnikov and J. Wei (J. Nonlinear Science,
Vol. 19, No. 1, (2009), pp. 1-56).
Reduced Wave Green's Functions and their Effect on the
Dynamics of a Spike for the Gierer-Meinhardt Model
with T. Kolokolnikov (European J. Applied Math., Vol. 14, No. 5,
(2003), pp. 513-545.)
The Dynamics and Pinning of a Spike for a Reaction-Diffusion Model
with D. McInerney et al. (SIAM J. Appl. Math., Vol. 62, No. 4, (2002),