A QUASILINEAR PARABOLIC EQUATION WITH INHOMOGENEOUS DENSITY AND ABSORPTION

被引：0

作者：

Liu, Ch. ^{[1
,2
]}

机构：

[1] Jilin Univ, Dept Math, Changchun 130012, Peoples R China

[2] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

BULLETIN OF THE IRANIAN MATHEMATICAL SOCIETY | 2010年 / 36卷 / 02期

关键词：

Quasilinear parabolic equation; extinction; finite speed of propagation of perturbations; FILTRATION EQUATION; CAUCHY-PROBLEM; DEGENERATE;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We deal with the initial-boundary value problem for a quasilinear degenerate parabolic equation with inhomogeneous density and absorption, which appears in a number of applications to describe the evolution of diffusion processes, in particular non-Newtonian flow in a porous medium. We discuss the extinction of solution and the finite speed of propagation of perturbations.

引用

页码：239 / 251

页数：13

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