One-sided Mullins-Sekerka Flow Does Not Preserve Convexity
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The Mullins-Sekerka model is a nonlocal evolution model for hyper-surfaces, which arises as a singular limit for the Cahn-Hilliard equation. Assuming the existence of sufficiently smooth solutions we will show that the one-sided Mullins-Sekerka flow does not preserve convexity.
CitationMayer, U. F. (1993). One-sided Mullins-Sekerka Flow Does Not Preserve Convexity. Electronic Journal of Differential Equations, 1993(08), pp. 1-7.
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