Global weak solutions for some Oldroyd models

JOURNAL OF DIFFERENTIAL EQUATIONS

卷:254

Article

Bejaoui, Olfa¹  Majdoub, Mohamed¹ 

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

关键词: Oldroyd models;    Weak solutions;    Global existence;    Young measure;    Equi-integrability;   

DOI  :  10.1016/j.jde.2012.09.010

来源: Elsevier

【 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.

【 授权许可】

Free