GLOBAL BV SOLUTIONS FOR THE P-SYSTEM WITH FRICTIONAL DAMPING

被引：36

作者：

Dafermos, Constantine M. ^{[1
]}

Pan, Ronghua ^{[2
]}

机构：

[1] Brown Univ, Div Appl Math, Providence, RI 02912 USA

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

来源：

SIAM JOURNAL ON MATHEMATICAL ANALYSIS | 2009年 / 41卷 / 03期

基金：

美国国家科学基金会;

关键词：

frictional damping; Darcy law; porous medium flow; weakly dissipative; BV estimates; entropy estimates; NONLINEAR DIFFUSION WAVES; HYPERBOLIC CONSERVATION-LAWS; LAX-FRIEDRICHS SCHEME; BALANCE LAWS; VISCOSITY SOLUTIONS; CONVERGENCE-RATES; ENTROPY SOLUTIONS; EXISTENCE; UNIQUENESS; EQUATIONS;

D O I：

10.1137/080735126

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We construct global BV solutions to the Cauchy problem for the damped p-system, under initial data with distinct end-states. The solution will be realized as a perturbation of its asymptotic pro. le, in which the specific volume satisfies the porous media equation and the velocity obeys the classical Darcy law for gas flow through a porous medium.

引用

页码：1190 / 1205

页数：16

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