Stability analysis for stationary solutions of the Mullins-Sekerka flow with boundary contact

DOI to cite this document:: 10.5283/epub.47742

Garcke, Harald ; Rauchecker, Maximilian

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Date of publication of this fulltext: 15 Mar 2023 16:00

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Abstract

We first give a complete linearized stability analysis around stationary solutions of the Mullins-Sekerka flow with 90 degrees contact angle in two space dimensions. The stationary solutions include flat interfaces, as well as arcs of circles. We investigate the different stability behaviour in dependence of properties of the stationary solution, such as its curvature and length, as well as the ...