Convergence of the porous media equation to Hele-Shaw

被引：19

作者：

Gil, O

Quirós, F

机构：

[1] Univ Republ Oriental Uruguay, Inst Matemat & Estadist Prof Ing Rafael Laguardia, Fac Ingn, Montevideo, Uruguay

[2] Univ Autonoma Madrid, Dept Matemat, E-28049 Madrid, Spain

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 44卷 / 08期

关键词：

Hele-Shaw problem; porous media equation;

D O I：

10.1016/S0362-546X(99)00325-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The behavior of solutions to the initial-and-boundary-value problems was studied for the porous media equation. Non-negative solutions were considered and defined with smooth, bounded and non-empty boundary. The convergence was proven to a solution of the Hele-Shaw problem.

引用

页码：1111 / 1131

页数：21

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