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.
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页码：1 / 12
页数：12
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