Electronic Journal of Differential Equations, 
Vol. 1993(1993), No. 08, pp. 1-7.

Title: One-sided Mullins-Sekerka flow does not preserve convexity

Author: Uwe F. Mayer (Univ. of Utah, Salt Lake City, USA)

Abstract: The Mullins-Sekerka model is a nonlocal evolution model
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.

Submitted November 6, 1993. Published December 13, 1993.
Math Subject Classification: 35R35, 35J05, 35B50, 53A07.
Key Words: Mullins-Sekerka flow; Hele-Shaw flow; Cahn-Hilliard equation;