Corner defects in almost planar interface propagation Défauts faibles en propagation d ’ interfaces planes

@inproceedings{HaragusCornerDI,
title={Corner defects in almost planar interface propagation D{\'e}fauts faibles en propagation d ’ interfaces planes},
author={Mariana Haragus and Arnd Scheel}
}

We study existence and stability of interfaces in reaction-diffusion systems which are asymptotically planar. The problem of existence of corners is reduced to an ordinary differential equation that can be viewed as the travelling-wave equation to a viscous conservation law or variants of the Kuramoto-Sivashinsky equation. The corner typically but not always points in the direction opposite to the direction of propagation. For the existence and stability problem, we rely on a spatial dynamics… CONTINUE READING