Regularization in phase transitions with Gibbs-Thomson law

Regularization in phase transitions with Gibbs-Thomson law

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...

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Bibliographic Details
Main Author: Guillen, Nestor Daniel
Format: Others
Language:English
Published: 2011
Subjects:
Nonlinear partial differential equations
Free boundary problems
Luckhaus theorem
Hele-shaw
Stefan problem
Lipschitz
Almost minimal surfaces
Online Access:http://hdl.handle.net/2152/ETD-UT-2010-12-2562

Internet

http://hdl.handle.net/2152/ETD-UT-2010-12-2562

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