Two-sided Mullins-Sekerka flow does not preserve convexity

The (two-sided) Mullins-Sekerka model is a nonlocal evolution model for closed hypersurfaces, which was originally proposed as a model for phase transitions of materials of negligible specific heat. Under this evolution the propagating interfaces maintain the enclosed volume while the area of the in...

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Bibliographic Details
Main Author: Uwe F. Mayer
Format: Article
Language:English
Published: Texas State University 1998-11-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/01/m1/abstr.html