On diffusion-induced grain-boundary motion

Uwe F. Mayer and Gieri Simonett

Abstract: We consider a sharp interface model which describes diffusion-induced grain-boundary motion in a poly-crystalline material. This model leads to a fully nonlinear coupled system of partial differential equations. We show existence and uniqueness of smooth solutions.

Key words: Free boundary problem, mean curvature, DIGM, system of fully nonlinear PDEs, maximal regularity.

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