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
收藏
页码：121 / 146
页数：26
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