SPACE-TIME ESTIMATES IN THE BESOV SPACES AND THE NAVIER-STOKES EQUATIONS

被引：0

作者：

Chen, Qionglei ^{[1
]}

Zhang, Zhifei ^{[2
]}

机构：

[1] Inst Appl Phys & Computat Math, Beijing 100088, Peoples R China

[2] Peking Univ, Sch Math, Beijing 100871, Peoples R China

来源：

METHODS AND APPLICATIONS OF ANALYSIS | 2006年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

Navier-Strokes equations; Besov space; Regularity criterion; Littlewood-Play decomposition;

D O I：

暂无

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we establish the space-time estimates in the Besov spaces of the solution to the Navier-Stokes equations in R-n,n >= 3. As an application, we improve some known results about the regularity criterion of weak solutions and the blow-up criterion of smooth solutions. Our main tools are the frequency localization and the Littlewood-Paley decomposition.

引用

页码：107 / 122

页数：16

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