Darcy's law as long-time limit of adiabatic porous media flow

被引：40

作者：

Pan, RH ^{[1
]}

机构：

[1] Georgia Inst Technol, Sch Math, Atlanta, GA 30332 USA

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2006年 / 220卷 / 01期

关键词：

Darcy's law; damping mechanism; L-1-estimates; weighted energy estimates; self-similarity;

D O I：

10.1016/j.jde.2004.10.013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

It is conjectured that Darcy's law governs the motion of compressible porous media flow in large time. This has been justified for one-dimensional isentropic flows. In this work, we show the conjecture is true for one-dimensional adiabatic flows with generic small smooth initial data. (c) 2004 Elsevier Inc. All rights reserved.

引用

页码：121 / 146

页数：26

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