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arXiv · 1709.04833

Optimal relaxation to a planar interface in the Mullins-Sekerka problem

Olga Chugreeva·Felix Otto·Maria G. Westdickenberg
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Abstract

We analyze the convergence rates to a planar interface in the Mullins-Sekerka model by applying a relaxation method based on relationships among distance, energy, and dissipation. The relaxation method was developed by two of the authors in the context of the 1-d Cahn-Hilliard equation and the current work represents an extension to a higher dimensional problem in which the curvature of the interface plays an important role. The convergence rates obtained are optimal given the assumptions on the initial data.

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Olga Chugreeva, Felix Otto, Maria G. Westdickenberg. 2017-09-14. Optimal relaxation to a planar interface in the Mullins-Sekerka problem. https://arxiv.org/abs/1709.04833

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