On one proof of the classical solvability of the Hele-Shaw problem with free boundary

被引：0
|
作者：
B. V. Bazalii
机构：
[1] Ukrainian Academy of Sciences,Institute of Applied Mathematics and Mechanics
来源：
Ukrainian Mathematical Journal | 1998年 / 50卷 / 11期
关键词：
Parabolic Equation; Free Boundary; Consistency Condition; Laplace Transformation; Auxiliary Problem;
D O I：
10.1007/BF02524473
中图分类号：
学科分类号：
摘要：
We consider the Stefan problem for a parabolic equation with a small parameter as the coefficient of the derivative with respect to time. We justify the limit transition as the small parameter tends to zero, which enables us to prove the classical solvability of the Hele-Shaw problem with free boundary in the small with respect to time.
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页码：1659 / 1670
页数：11
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