Simulations of Vanishing Capillarity Limits for Kohn-Müller and
Aviles-Giga Type Models
Benson Muite
University of Michigan
Department of Mathematics
muite@umich.edu
University of Michigan
Department of Mathematics
muite@umich.edu
Abstract: We present some simulations which demonstrate the
dynamics of two dimensional viscoelastic scalar models with a high order
capillarity term and a non-convex strain energy term. We use these models to
determine scaling behavior for the vanishing capillarity limit for static
models which have previously been studied by among others Kohn and Müller
and by Aviles and Giga.