Remark on uniqueness of mild solutions to the Navier-Stokes equations

被引：28

作者：

Miura, H ^{[1
]}

机构：

[1] Tohoku Univ, Math Inst, Sendai, Miyagi 9808578, Japan

来源：

JOURNAL OF FUNCTIONAL ANALYSIS | 2005年 / 218卷 / 01期

关键词：

Navier-Stokes; uniqueness; mild solution; bmo(-1);

D O I：

10.1016/j.jfa.2004.07.007

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We investigate a limiting uniqueness criterion to the Navier-Stokes equations. We prove that the mild solution is unique under the class C([0, T); bmo(-1))boolean ANDL(loc)(infinity)((0, T); L-infinity), where bmo(-1) is the "critical" space including L-n. As an application of uniqueness theorem, we also consider the local well-posedness of Navier-Stokes equations in bmo(-1). (C) 2004 Elsevier Inc. All rights reserved.

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收藏

页码：110 / 129

页数：20

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