Amy Novick Cohen - Surface diffusion, and surface diffusion coupled with mean curvature motion

Surface diffusion as well as mean curvature motion constitute geometric motions relevant to the modelling various phenomena arising in modeling thin poly-crystalline films. We first review some special grooving solutions and traveling wave solutions. Afterwards we focus on certain composite axi-symmetric geometries; here the steady states may be described by piecing together Delaunay surfaces, and related evolutionary questions are pertinent to solid state wetting and dewetting.