Surface diffusion, and surface diffusion coupled with mean curvature motion

Abstract: 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.

condensed mattermathematical physicsanalysis of PDEsdifferential geometry

Audience: researchers in the topic

Online Seminar "Geometric Analysis"

Series comments: We discuss recent trends related to geometric analysis in a broad sense. The general idea is to solve geometric problems by means of advanced tools in analysis. We will include a wide range of topics such as geometric flows, curvature functionals, discrete differential geometry, and numerical simulation.

Registration and links to videos available at blatt.sbg.ac.at/onlineseminar.php