Regularization in phase transitions with Gibbs-Thomson law

Date

2010-12

Authors

Guillen, Nestor Daniel

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

We study the regularity of weak solutions for the Stefan and Hele- Shaw problems with Gibbs-Thomson law under special conditions. The main result says that whenever the free boundary is Lipschitz in space and time it becomes (instantaneously) C[superscript 2,alpha] in space and its mean curvature is Hölder continuous. Additionally, a similar model related to the Signorini problem is introduced, in this case it is shown that for large times weak solutions converge to a stationary configuration.

Department

Description

text

LCSH Subject Headings

Citation