Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations

Jia Yuan

doi:10.1002/mma.967

Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations

Jia Yuan^*

^*此作品的通讯作者

China Academy of Engineering Physics

科研成果: 期刊稿件 › 文章 › 同行评审

64 引用（Scopus）

摘要

In this paper we study the magneto-micropolar fluid equations in ℝ³, prove the existence of the strong solution with initial data in H^s(ℝ³) for s>3/2, and set up its blow-up criterion. The tool we mainly use is Littlewood-Paley decomposition, by which we obtain a Beale-Kato-Majda-type blow-up criterion for smooth solution (u, ω, b) that relies on the vorticity of velocity ▽×u only.

源语言	英语
页（从-至）	1113-1130
页数	18
期刊	Mathematical Methods in the Applied Sciences
卷	31
期	9
DOI	https://doi.org/10.1002/mma.967
出版状态	已出版 - 6月 2008
已对外发布	是

访问文件

10.1002/mma.967

其它文件与链接

链接到 Scopus 的出版物

引用此

@article{8de45ed8113a4b53bf4682eefdd58f3c,

title = "Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations",

abstract = "In this paper we study the magneto-micropolar fluid equations in ℝ3, prove the existence of the strong solution with initial data in Hs(ℝ3) for s>3/2, and set up its blow-up criterion. The tool we mainly use is Littlewood-Paley decomposition, by which we obtain a Beale-Kato-Majda-type blow-up criterion for smooth solution (u, ω, b) that relies on the vorticity of velocity ▽×u only.",

keywords = "Besov space, Blow-up, Littlewood-Paley decomposition, The magneto-micropolar equations",

author = "Jia Yuan",

year = "2008",

month = jun,

doi = "10.1002/mma.967",

language = "英语",

volume = "31",

pages = "1113--1130",

journal = "Mathematical Methods in the Applied Sciences",

issn = "0170-4214",

publisher = "John Wiley and Sons Ltd",

number = "9",

}

TY - JOUR

T1 - Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations

AU - Yuan, Jia

PY - 2008/6

Y1 - 2008/6

N2 - In this paper we study the magneto-micropolar fluid equations in ℝ3, prove the existence of the strong solution with initial data in Hs(ℝ3) for s>3/2, and set up its blow-up criterion. The tool we mainly use is Littlewood-Paley decomposition, by which we obtain a Beale-Kato-Majda-type blow-up criterion for smooth solution (u, ω, b) that relies on the vorticity of velocity ▽×u only.

AB - In this paper we study the magneto-micropolar fluid equations in ℝ3, prove the existence of the strong solution with initial data in Hs(ℝ3) for s>3/2, and set up its blow-up criterion. The tool we mainly use is Littlewood-Paley decomposition, by which we obtain a Beale-Kato-Majda-type blow-up criterion for smooth solution (u, ω, b) that relies on the vorticity of velocity ▽×u only.

KW - Besov space

KW - Blow-up

KW - Littlewood-Paley decomposition

KW - The magneto-micropolar equations

UR - https://www.scopus.com/pages/publications/45749152145

U2 - 10.1002/mma.967

DO - 10.1002/mma.967

M3 - 文章

AN - SCOPUS:45749152145

SN - 0170-4214

VL - 31

SP - 1113

EP - 1130

JO - Mathematical Methods in the Applied Sciences

JF - Mathematical Methods in the Applied Sciences

IS - 9

ER -

Existence theorem and blow-up criterion of the strong solutions to the magneto-micropolar fluid equations

摘要

访问文件

其它文件与链接

指纹

引用此