Metastability for Applied PDE

description to be written; pictures and movies

• A Metastable Spike Solution for a Non-Local Reaction-Diffusion Model
  with D. Iron (SIAM J. Appl. Math., Vol. 60, No. 3, (2000), pp.778-802).

• The Dynamics and Coarsening of Interfaces for the Viscous Cahn-Hilliard Equation in One-Spatial Dimension
  with X. Sun (Studies in Appl. Math., Vol. 105, No. 3, (2000) pp. 203-234.)

• The Stability and Dynamics of Hot-Spot Solutions for a One-Dimensional Microwave Heating Model
  with D. Iron (Analysis and Applications, Vol. 2, No. 1, (2004), pp. 21-70.)

• Existence, Stability, and Dynamics of Spike Patterns in a Chemotaxis Model
  with B. Sleeman, J. Wei (SIAM J. Appl. Math., Vol. 65, No. 3, (2005), pp. 790-817.)

• A Two-Dimensional Metastable Flame-Front and a Degenerate Spike-Layer Problem
  with A. Cheviakov (Interfaces and Free Boundaries, Vol. 9, No. 4, (2007), pp. 513--547).