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

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Abels, Helmut ; Rauchecker, Maximilian ; Wilke, Mathias
License: Creative Commons Attribution 4.0
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Date of publication of this fulltext: 02 Feb 2021 13:58


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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