Besov空间中三维Micropolar流体方程组弱解的正则性准则

doi:10.13371/j.cnki.chin.q.j.m.2020.04.010

数学季刊 ›› 2020, Vol. 35 ›› Issue (4): 418-423.doi: 10.13371/j.cnki.chin.q.j.m.2020.04.010

Besov空间中三维Micropolar流体方程组弱解的正则性准则

Department of Mathematics Teaching and Research, Huanghe Jiaotong University, Henan, 454000,
China

收稿日期:2020-04-10 出版日期:2020-12-30 发布日期:2021-01-06
作者简介: LI Xiao(1991-), femal, native of Fanxian, Henan, graduate student, engages in partial differential equations and applications.

Regularity Criterion of Weak Solutions to the 3D Micropolar Fluid Equations in Besov Space

Department of Mathematics Teaching and Research, Huanghe Jiaotong University, Henan, 454000,
China

Received:2020-04-10 Online:2020-12-30 Published:2021-01-06
About author: LI Xiao(1991-), femal, native of Fanxian, Henan, graduate student, engages in partial differential equations and applications.

摘要/Abstract

摘要： This paper studies the regularity criterion of weak solutions to the micropolar
fluid equations in three dimensions. Let (∇u∈L ^{2/ 2- γ} (0,T; ˙B^{- γ}_∞,∞),∇ω ∈L²(0,T; ˙B^-1 _∞,∞), it
is showed that the weak solution (u,ω) is globally regular for the case 0< γ <2.

关键词: micropolar流体方程组, 正则性准则, Besov空间

Abstract: This paper studies the regularity criterion of weak solutions to the micropolar
fluid equations in three dimensions. Let (∇u∈L ^{2/ 2- γ} (0,T; ˙B^{- γ}_∞,∞),∇ω ∈L²(0,T; ˙B^-1 _∞,∞), it
is showed that the weak solution (u,ω) is globally regular for the case 0< γ <2.

Key words: Micropolar fluid equations, Regularity criteria, Besov space

中图分类号:

O175.29

李晓. Besov空间中三维Micropolar流体方程组弱解的正则性准则[J]. 数学季刊, 2020, 35(4): 418-423.

LI Xiao. Regularity Criterion of Weak Solutions to the 3D Micropolar Fluid Equations in Besov Space[J]. Chinese Quarterly Journal of Mathematics, 2020, 35(4): 418-423.

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Besov空间中三维Micropolar流体方程组弱解的正则性准则

Regularity Criterion of Weak Solutions to the 3D Micropolar Fluid Equations in Besov Space

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