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^*

^*Corresponding author for this work

China Academy of Engineering Physics

Research output: Contribution to journal › Article › peer-review

64 Scopus citations

Abstract

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.

Original language	English
Pages (from-to)	1113-1130
Number of pages	18
Journal	Mathematical Methods in the Applied Sciences
Volume	31
Issue number	9
DOIs	https://doi.org/10.1002/mma.967
State	Published - Jun 2008
Externally published	Yes

Keywords

Besov space
Blow-up
Littlewood-Paley decomposition
The magneto-micropolar equations

Access to Document

10.1002/mma.967

Cite this

@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

Abstract

Keywords

Access to Document

Other files and links

Fingerprint

Cite this