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Well-posedness and qualitative behaviour of the Mullins-Sekerka problem with ninety-degree angle boundary contact

URN to cite this document:
urn:nbn:de:bvb:355-epub-446471
DOI to cite this document:
10.5283/epub.44647
Abels, Helmut ; Rauchecker, Maximilian ; Wilke, Mathias
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License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 02 Feb 2021 13:58

This publication is part of the DEAL contract with Springer.


Abstract

We show local well-posedness for a Mullins-Sekerka system with ninety degree angle boundary contact. We will describe the motion of the moving interface by a height function over a fixed reference surface. Using the theory of maximal regularity together with a linearization of the equations and a localization argument we will prove well-posedness of the full nonlinear problem via the contraction ...

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