On the initial-boundary value problem of the incompressible viscoelastic fluid system

被引：135
|
作者：
Lin, Fanghua
Zhang, Ping
机构：
[1] Academy of Mathematics and Systems Science, CAS
[2] Courant Institute, New York, NY 10012
[3] Chinese Academy of Science, Academy of Mathematics and System Science
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2008年 / 61卷 / 04期
关键词：
D O I：
10.1002/cpa.20219
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we shall establish the local well-posedness of the initial-boundary value problem of the viscoelastic fluid system of the Oldroyd model. We shall also prove that the local solutions can be extended globally and that the global solutions decay exponentially fast as time goes to infinity provided that the initial data are sufficiently close to the equilibrium state. (c) 2007 Wiley Periodicals, Inc.
引用
收藏
页码：539 / 558
页数：20
相关论文
共 50 条
12345