Special Session 117: Patterns and Attractors in Nonlinear Dynamics

Sharp interfaces in singular reaction diffusion systems
Tommaso Lamma
Leiden University
Netherlands
Co-Author(s):    Arjen Doelman, Frits Veerman, Paul Carter
Abstract:
There are systems of reaction diffusion equations in which the interplay of bistability and spatial scale separation leads to the emergence of sharp interfaces separating two asymptotic homogeneous states. Multiple sharp interfaces interact and in some cases evolve into a stationary multi-front pattern, a derivation of interaction equations will be presented as a dimensionality reduction procedure.