Inflow and outflow problems in the half space for a one-dimensional isentropic model system of compressible viscous gas

被引：47

作者：

Matsumura, A ^{[1
]}

机构：

[1] Osaka Univ, Grad Sch Sci, Dept Math, Toyonaka, Osaka 5600045, Japan

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2001年 / 47卷 / 06期

关键词：

D O I：

10.1016/S0362-546X(01)00542-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In the present short article, we shall introduce our recent results discussed in [8] on large-time behaviors of solutions to the initial boundary value problems in the half space for a one-dimensional isentropic model system of compressible viscous gas. In particular, we focus our attention on inflow(or outflow) problems where the velocity on the boundary is given as a constant inward(or outward) flow, and try to classify all asymptotic behaviors of the solutions.

引用

页码：4269 / 4282

页数：14

共 16 条

[1]

KAWASHIMA S, IN PRESS STABILITY S

[2] SHOCK-WAVES FOR COMPRESSIBLE NAVIER-STOKES EQUATIONS ARE STABLE [J].

LIU, TP .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 1986, 39 (05) :565-594

[3] Behaviors of solutions for the Burgers equation with boundary corresponding to rarefaction waves [J].

Liu, TP ;

Matsumura, A ;

Nishihara, K .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 1998, 29 (02) :293-308

[4] Asymptotic behavior for scalar viscous conservation laws with boundary effect [J].

Liu, TP ;

Nishihara, K .

JOURNAL OF DIFFERENTIAL EQUATIONS, 1997, 133 (02) :296-320

[5] Propagation of a stationary shock layer in the presence of a boundary [J].

Liu, TP ;

Yu, SH .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1997, 139 (01) :57-82

[6]

LIU TP, 1985, MEM AMS, V56

[7] Convergence to travelling fronts of solutions of the p-system with viscosity in the presence of a boundary [J].

Matsumura, A ;

Mei, M .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 1999, 146 (01) :1-22

[8] GLOBAL STABILITY OF THE RAREFACTION WAVE OF A ONE-DIMENSIONAL MODEL SYSTEM FOR COMPRESSIBLE VISCOUS-GAS [J].

MATSUMURA, A ;

NISHIHARA, K .

COMMUNICATIONS IN MATHEMATICAL PHYSICS, 1992, 144 (02) :325-335

[9] Global asymptotics toward the rarefaction wave for solutions of viscous p-system with boundary effect [J].

Matsumura, A ;

Nishihara, K .

QUARTERLY OF APPLIED MATHEMATICS, 2000, 58 (01) :69-83

[10]

Matsumura A., 1986, Japan J. Appl. Math., V3, P1, DOI DOI 10.1007/BF03167088

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