Two phase Stefan-type problem: Regularization near initial data by phase dynamics

Details Two phase Stefan-type problem: Regularization near initial data by phase dynamics Two phase Stefan-type problem: Regularization near initial data by phase dynamics

2010-12-06

arxiv.org/abs/1012.1277v1

Mathematics

Analysis of PDEs

Scientific paper

We investigate the regularizing behavior of two-phase Stefan problem near initial data. The main step in the analysis is to establish that in any given scale, the scaled solution is very close to a Lipschitz profile in space-time. We introduce a new decomposition argument to generalize the preceding ones by Choi, Jerion and Kim([CJK1], [CJK2]) and by Choi and Kim([CK]) on one-phase problems.

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