Research Page
Metastability for Applied PDE
description to be written; pictures and movies

A Metastable Spike Solution for a NonLocal ReactionDiffusion Model
with D. Iron (SIAM J. Appl. Math., Vol. 60, No. 3, (2000), pp.778802).

The Dynamics and Coarsening of Interfaces for the Viscous CahnHilliard
Equation in OneSpatial Dimension
with X. Sun (Studies in Appl. Math., Vol. 105, No. 3, (2000) pp. 203234.)

The Stability and Dynamics of HotSpot Solutions for a
OneDimensional Microwave Heating Model
with D. Iron (Analysis and Applications, Vol. 2, No. 1, (2004),
pp. 2170.)

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. 790817.)

A TwoDimensional Metastable FlameFront and a Degenerate SpikeLayer
Problem
with A. Cheviakov (Interfaces and Free Boundaries, Vol. 9, No. 4,
(2007), pp. 513547).