Two phase Stefan-type problem: Regularization near initial data by phase dynamics
Analysis of PDEs
2010-12-07 v1
Abstract
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.
Keywords
Cite
@article{arxiv.1012.1277,
title = {Two phase Stefan-type problem: Regularization near initial data by phase dynamics},
author = {Sunhi Choi and Inwon Kim},
journal= {arXiv preprint arXiv:1012.1277},
year = {2010}
}