Initial boundary value problems for the compressible viscoelastic fluid

被引：37

作者：

Qian, Jianzhen ^{[1
,2
]}

机构：

[1] Peking Univ, LAMA, Beijing 100871, Peoples R China

[2] Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2011年 / 250卷 / 02期

关键词：

Compressible viscoelastic fluids; Global solution; Initial boundary value; GLOBAL EXISTENCE; EQUATIONS;

D O I：

10.1016/j.jde.2010.07.026

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the initial boundary value problems of the system modeling the compressible viscoelastic fluid of Oldroyd type. The global in time solution is proved to exist uniquely near the equilibrium state in H-2. (C) 2010 Elsevier Inc. All rights reserved.

引用

页码：848 / 865

页数：18

共 18 条

[1]

[Anonymous], 2004, COMMUNICATIONS PURE

[2]

[Anonymous], 1981, MATH SCI ENG

[3] About lifespan of regular solutions of equations related to viscoelastic fluids [J].

Chemin, JY ;

Masmoudi, N .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2001, 33 (01) :84-112

[4] The global existence of small solutions to the incompressible viscoelastic fluid system in 2 and 3 space dimensions [J].

Chen, Yemin ;

Zhang, Ping .

COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS, 2006, 31 (12) :1793-1810

[5]

HU X, GLOBAL EXISTENCE MUL

[6] Local solvability of an initial boundary value problem for a quasilinear hyperbolic-parabolic system [J].

Kagei, Y ;

Kawashima, S .

JOURNAL OF HYPERBOLIC DIFFERENTIAL EQUATIONS, 2006, 3 (02) :195-232

[7]

LARSON G, 1998, TOP CHEM ENG, V1

[8] Global existence of classical solutions for the two-dimensional Oldroyd model via the incompressible limit [J].

Lei, Z ;

Zhou, Y .

SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2005, 37 (03) :797-814

[9] Global solutions for incompressible viscoelastic fluids [J].

Lei, Zhen ;

Liu, Chun ;

Zhou, Yi .

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, 2008, 188 (03) :371-398

[10] On the initial-boundary value problem of the incompressible viscoelastic fluid system [J].

Lin, Fanghua ;

Zhang, Ping .

COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS, 2008, 61 (04) :539-558

← 1 2 →