The Mullins-Sekerka problem with contact angle

  • Maximilian Rauchecker (Universität Regensburg)
A3 01 (Sophus-Lie room)


The Mullins-Sekerka problem for closed interfaces is widely studied since it appears naturally as a gradient flow of the area functional, as a sharp interface limit of the Cahn-Hilliard equation, and in physical models of phase changes. In this talk I will address the Mullins-Sekerka problem for interfaces with a ninety degree contact angle. In particular, I will show existence and uniqueness of strong solutions and discuss stability properties. This is joint work with Helmut Abels, Harald Garcke, and Mathias Wilke.

Katja Heid

MPI for Mathematics in the Sciences Contact via Mail

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