Porous medium equation with absorption and a nonlinear boundary condition

被引：42
|
作者：
Andreu, F [1 ]
Mazón, JM
Toledo, J
Rossi, JD
机构：
[1] Univ Valencia, Dept Matemat, Valencia, Spain
[2] Univ Buenos Aires, Fac Ciencias Exactas & Nat, Dept Matemat, RA-1428 Buenos Aires, DF, Argentina
来源：
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2002年 / 49卷 / 04期
关键词：
blow up; global existence; porous medium equation; nonlinear boundary conditions;
D O I：
10.1016/S0362-546X(01)00122-5
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The behavior of solutions of a parabolic problem of gas or fluid flow in porous media was studied. The existence of globally bounded weak solutions or blow-up for the problem was analyzed. Adequate supersolutions and subsolutions were constructed and the results about global existence of weak solutions were proved.
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页码：541 / 563
页数：23
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