Blow-up criteria for the 21/2D magnetic Benard fluid system with partial viscosity

被引：5

作者：

Ma Liangliang ^{[1
,2
]}

Zhang Lei ^{[3
,4
,5
]}

机构：

[1] Sichuan Univ, Dept Math, Chengdu, Peoples R China

[2] Panzhihua Univ, Dept Math & Comp, Panzhihua, Peoples R China

[3] Sichuan Univ, Coll Comp Sci, Chengdu, Peoples R China

[4] Qinghai Univ, Dept Comp Technol & Applicat, State Key Lab Plateau Ecol & Agr, Xining, Peoples R China

[5] Sichuan Univ, Informat Management Ctr, Chengdu, Peoples R China

来源：

APPLICABLE ANALYSIS | 2020年 / 99卷 / 08期

基金：

中国国家自然科学基金;

关键词：

Ming Mei; Magnetic Benard system; blow-up criterion; smooth solutions; dissipation; magnetic diffusion; thermal diffusivity; Besov spaces; PARTIAL DISSIPATION; MICROPOLAR SYSTEM; EQUATIONS;

D O I：

10.1080/00036811.2018.1529305

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study the Cauchy problem for the 2D incompressible magnetic Benard fluid system with partial viscosity and derive some blow-up criteria of smooth solutions. More precisely, we first obtain a blow-up criterion of smooth solutions to the 2D magnetic Benard fluid system without zero magnetic diffusion and thermal diffusivity. Furthermore, we derive two blow-up criteria of smooth solutions to the 2D magnetic Benard fluid system without dissipation.

引用

页码：1271 / 1299

页数：29

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