The blowup criterion of a smooth solution to the incompressible viscoelastic flow

被引：8
|
作者：
Yuan, Baoquan [1 ]
Li, Rui [1 ]
机构：
[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2013年 / 406卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Incompressible Oldroyd model; Blowup criteria; BMO space; GLOBAL EXISTENCE;
D O I：
10.1016/j.jmaa.2013.04.055
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we prove the blowup criterion of a smooth solution to the incompressible Oldroyd model. Assume (u(t, x), F(t, x)) is a smooth solution in [0, T). The solution (u(t, x), F(t, x)) does not develop singularity until t = T provided del F is an element of L-1 (0, T; BMO) in the case n = 2, and provided del u is an element of L-1(0, T; BMO), del F is an element of L-2(0, T; BMO) in the case n = 3. (C) 2013 Elsevier Inc. All rights reserved.
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页码：158 / 164
页数：7
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