The order of convergence in the stefan problem with vanishing specific heat

被引：0

作者：

Frolova E.V. ^{[1
]}

机构：

[1] St.Petersburg State Electrical Engineering University, St.Petersburg

来源：

Journal of Mathematical Sciences | 2011年 / 178卷 / 3期

关键词：

Russia; Boundary Layer; Electrical Engineer; Small Parameter; Type Function;

D O I：

10.1007/s10958-011-0553-x

中图分类号：

学科分类号：

摘要：

The paper is concerned with the two-phase Stefan problem with a small parameter ε, which coresponds to the specific heat of the material. It is assumed that the initial condition does not coincide with the solution for t = 0 of the limit problem related to ε = 0. To remove this discrepancy, an auxiliary boundary layer type function is introduced. It is proved that the solution to the two-phase Stefan problem with parameter ε differs from the sum of the solution to the limit Hele-Shaw problem and a boundary layer type function by quantities of order O(ε). The estimates are obtained in Hölder norms. Bibliography: 13 titles. © 2011 Springer Science+Business Media, Inc.

引用

页码：357 / 366

页数：9

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