Global existence and uniqueness of solutions for the equations of third grade fluids

被引：23

作者：

Busuioc, V

Iftimie, D

机构：

[1] Univ Rennes 1, IRMAR, F-35042 Rennes, France

[2] Ecole Polytech Fed Lausanne, Sect Math, Inst Bernoulli, CH-1015 Lausanne, Switzerland

来源：

INTERNATIONAL JOURNAL OF NON-LINEAR MECHANICS | 2004年 / 39卷 / 01期

关键词：

non-Newtonian fluid; existence and uniqueness of solutions;

D O I：

10.1016/S0020-7462(02)00121-X

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

We consider the equations governing the motion of third grade fluids in R-n, n = 2,3. We show global existence of solutions without any smallness assumption, by assuming only that the initial velocity belongs to the Sobolev space H-2. The uniqueness of such solutions is also proven in dimension two. (C) 2002 Elsevier Science Ltd. All rights reserved.

引用

页码：1 / 12

页数：12

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