Dynamics, Instabilities, and Self-Replication of Spots in Two-Space Dimensions

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), pp. 1297-1328.)