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Well-posedness for the classical Stefan problem and the zero surface tension limit

Abstract:

We develop a framework for a {\em unified} treatment of well-posedness for the Stefan problem with and without surface tension. In the absence of surface tension, we provide new estimates for the regularity of the moving free-surface. We construct solutions as a limit of a carefully chosen sequence of approximate solutions to our so-called $\kappa $-problem, in which moving surface is regularized and the boundary condition is modified. We conclude by proving that solutions of the Stefan probl...

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Institution:
University of Oxford
Department:
Oxford, MPLS, Mathematical Inst
Publication date:
2011-12-26
URN:
uuid:2d6736f3-fae2-4269-af45-52f6d3234304
Source identifiers:
407496
Local pid:
pubs:407496
Keywords:

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