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.
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页码：107 / 122
页数：16
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