Local solvability of a one-phase problem with free boundary

被引:0
|
作者
Selivanova N.Y. [1 ]
Shamolin M.V. [2 ]
机构
[1] All-Russian Institute for Scientific and Technical Information, Russian Academy of Sciences, Usievicha 20, Moscow
[2] M. V. Lomonosov Moscow State University, Moscow
基金
俄罗斯基础研究基金会;
关键词
Free Boundary; Hyperbolic System; Variable Domain; Stefan Problem; Concrete Case;
D O I
10.1007/s10958-013-1184-1
中图分类号
学科分类号
摘要
A certain one-phase problem with free boundary is studied. The local (in time) solvability of this problem is proved; moreover, the general method elaborated is applied in a more concrete case. For this purpose, a new change of variables and the parametrization of the boundary are introduced, and the problem studied is reduced to a problem in a constant domain. © 2013 Springer Science+Business Media New York.
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页码:274 / 283
页数:9
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