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.
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页码：1111 / 1131
页数：21
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