Geometric interfacial motions: coupling surface diffusion and mean curvature motion

Mean curvature motion as well as surface diffusion constitute geometric interfacial motions which have received considerable attention. However in many applications a complex combination of coupled surfaces appear whose evolution may be described by coupling these two types of motion. In my lecture, a variety of physical problems will be described which may be reasonably modeled by such motions. While some these problems appear to require an anisotropic formulation, often an isotropic formulation is helpful to consider. A panoply of analytic and numerical results will be presented, in addition to some supporting experimental evidence.