CONVERGENCE TO NONLINEAR DIFFUSION WAVES FOR SOLUTIONS OF A SYSTEM OF HYPERBOLIC CONSERVATION-LAWS WITH DAMPING

被引：372

作者：

HSIAO, L ^{[1
]}

LIU, TP ^{[1
]}

机构：

[1] STANFORD UNIV,DEPT MATH,STANFORD,CA 94305

来源：

COMMUNICATIONS IN MATHEMATICAL PHYSICS | 1992年 / 143卷 / 03期

关键词：

D O I：

10.1007/BF02099268

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We consider a model of hyperbolic conservation laws with damping and show that the solutions tend to those of a nonlinear parabolic equation time-asymptotically. The hyperbolic model may be viewed as isentropic Euler equations with friction term added to the momentum equation to model gas flow through a porous media. In this case our result justifies Darcy's law time-asymptotically. Our model may also be viewed as an elastic model with damping.

引用

页码：599 / 605

页数：7

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