Global weak solutions for some Oldroyd models

被引：24

作者：

Bejaoui, Olfa ^{[1
]}

Majdoub, Mohamed ^{[1
]}

机构：

[1] Univ Tunis El Manar, Fac Sci Tunis, Dept Math, El Manar 2092, Tunisia

来源：

JOURNAL OF DIFFERENTIAL EQUATIONS | 2013年 / 254卷 / 02期

关键词：

Oldroyd models; Weak solutions; Global existence; Young measure; Equi-integrability; VISCOELASTIC FLUIDS; INCOMPRESSIBLE LIMIT; CLASSICAL-SOLUTIONS; SMALL STRAIN; EXISTENCE; EQUATIONS; FLOWS;

D O I：

10.1016/j.jde.2012.09.010

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate an evolutive system of non-linear partial differential equations derived from Oldroyd models on non-Newtonian flows. We prove global existence of weak solutions, in the case of a smooth bounded domain, for general initial data. The results hold true for the periodic case. (C) 2012 Elsevier Inc. All rights reserved.

引用

页码：660 / 685

页数：26

共 39 条

[1]

Alt H.W., 1992, Lineare Funktionalanalysis. Eine anwendungsorientierte Einfuhrung

[2]

[Anonymous], 1931, The Physics of High Pressure

[3]

[Anonymous], 1969, QUELQUES METHODES RE

[4]

[Anonymous], NATURE

[5]

Arada N., 2003, MATH MOD METH APPL S, V13, P1

[6] REMARKS ON CHACON BITING LEMMA [J].

BALL, JM ;

MURAT, F .

PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1989, 107 (03) :655-663

[7]

Brezis H., 1983, Analyse fonctionnelle, Theorie et applications

[8] Unsteady flows of fluids with pressure dependent viscosity in unbounded domains [J].

Bulicek, Miroslav ;

Majdoub, Mohamed ;

Malek, Josef .

NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2010, 11 (05) :3968-3983

[9] 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

[10] ORDINARY DIFFERENTIAL-EQUATIONS, TRANSPORT-THEORY AND SOBOLEV SPACES [J].

DIPERNA, RJ ;

LIONS, PL .

INVENTIONES MATHEMATICAE, 1989, 98 (03) :511-547

← 1 2 3 4 →