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Sharp Interface Limit for a Stokes/Allen–Cahn System

Abels, Helmut ; Liu, Yuning


We consider the sharp interface limit of a coupled Stokes/Allen-Cahn system, when a parameter that is proportional to the thickness of the diffuse interface tends to zero, in a two dimensional bounded domain. For sufficiently small times we prove convergence of the solutions of the Stokes/Allen-Cahn system to solutions of a sharp interface model, where the interface evolution is given by the mean ...


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