Weak solutions of grain boundary motion model with singularity

Abstract

We consider the grain boundary motion model of Kobayashi-WarrenCarter type, which arises in material sciences. The system, which consists of two nonlinear parabolic PDEs with singularity, is of the phase-field type. In this paper we show the global existence of solutions for our model in a weak variational sense.

Keywords

• grain boundary motion
• singular diffusion
• subdifferential