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.

引用

页码：541 / 563

页数：23

共 18 条

[1] LOCAL EXISTENCE AND UNIQUENESS OF SOLUTIONS OF DEGENERATE PARABOLIC EQUATIONS [J].