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.

引用

页码：158 / 164

页数：7

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