Global weak solutions for some Oldroyd models

被引：23

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

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