Mayer, Uwe F.2018-08-172018-08-171993-12-13Mayer, U. F. (1993). One-sided Mullins-Sekerka Flow Does Not Preserve Convexity. <i>Electronic Journal of Differential Equations, 1993</i>(08), pp. 1-7.1072-6691https://hdl.handle.net/10877/7540The 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.Text7 pages1 file (.pdf)enAttribution 4.0 InternationalMullins-Sekerka flowHele-Shaw flowCahn-Hilliard equationFree boundary problemConvexityCurvatureArticle