Special LCDS/PDE Seminar
Abstract: In my introduction I will describe lattice differential equations (LDE) and their similarities and differences with partial differential equations (PDE). In particular, I will focus on reaction-diffusion equations with bistable nonlinearities. I will then describe the phenomena of pinning and crystallographic pinning (CP), which do not occur in the PDE setting but which do occur in the LDE setting. The remainder of the talk will be devoted to outlining a proof that crystallographic pinning is generic in the horizontal and vertical directions on a two dimensional lattice.
<--- 2005 Index