One-sided Mullins-Sekerka flow does not preserve convexity

for hypersurfaces, 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.

Bibliographic Details
Main Author: Uwe F. Mayer
Format: Article
Language:English
Published: Texas State University 1993-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/1993/08/abstr.html