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.
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页码：99 / 122
页数：24
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