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- [31] Derivation of a Darcy's law for a porous medium composed of two solid phases saturated by a single- phase fluid: A homogenization approachTRANSPORT IN POROUS MEDIA, 2008, 74 (03) : 349 - 368Santos, Juan E.Sheen, Dongwoo
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
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.
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页码：121 / 146
页数：26
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