Blow-Up Criterion and Examples of Global Solutions of Forced Navier-Stokes Equations

被引：1

作者：

Wu, Di ^{[1
]}

机构：

[1] Univ Paris Diderot, CNRS, UMR 7586, Inst Math Jussieu Paris Rive Gouche, F-75205 Paris, France

来源：

ACTA APPLICANDAE MATHEMATICAE | 2020年 / 170卷 / 01期

关键词：

Navier-Stokes equation; Besov class; Long-time behavior; Regularity; LP-SOLUTIONS; POSEDNESS; STABILITY; SPACE;

D O I：

10.1007/s10440-020-00326-w

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we first show a blow-up criterion for solutions to the Navier-Stokes equations with a time-independent force by using the profile decomposition method. Based on the orthogonal properties related to the profiles, we give some examples of global solutions to the Navier-Stokes equations with a time-independent force, whose initial data are large.

引用

页码：99 / 122

页数：24

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