One-sided Mullins-Sekerka Flow Does Not Preserve Convexity
Date
1993-12-13
Authors
Mayer, Uwe F.
Journal Title
Journal ISSN
Volume Title
Publisher
Southwest Texas State University, Department of Mathematics
Abstract
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.
Description
Keywords
Mullins-Sekerka flow, Hele-Shaw flow, Cahn-Hilliard equation, Free boundary problem, Convexity, Curvature
Citation
Mayer, U. F. (1993). One-sided Mullins-Sekerka Flow Does Not Preserve Convexity. <i>Electronic Journal of Differential Equations, 1993</i>(08), pp. 1-7.
Rights
Attribution 4.0 International