Logarithmically extended global regularity result of Lans-alpha MHD system in two-dimensional space

Durga KC; Kazuo Yamazaki

doi:10.1016/j.jmaa.2014.12.024

Logarithmically extended global regularity result of Lans-alpha MHD system in two-dimensional space

Durga KC, Kazuo Yamazaki

Mathematics and Statistics

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6 Scopus citations

Abstract

We study the two-dimensional generalized Lans alpha magnetohydrodynamics system. We show that the solution pairs of velocity and magnetic fields to this system preserve their initial regularity in two cases: dissipation logarithmically weaker than a full Laplacian and zero diffusion, zero dissipation and diffusion logarithmically weaker than a full Laplacian.

Original language	English
Pages (from-to)	234-248
Number of pages	15
Journal	Journal of Mathematical Analysis and Applications
Volume	425
Issue number	1
DOIs	https://doi.org/10.1016/j.jmaa.2014.12.024
State	Published - May 1 2015

Keywords

Besov spaces
Global regularity
Magnetohydrodynamics system
Navier-Stokes equations

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10.1016/j.jmaa.2014.12.024

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title = "Logarithmically extended global regularity result of Lans-alpha MHD system in two-dimensional space",

abstract = "We study the two-dimensional generalized Lans alpha magnetohydrodynamics system. We show that the solution pairs of velocity and magnetic fields to this system preserve their initial regularity in two cases: dissipation logarithmically weaker than a full Laplacian and zero diffusion, zero dissipation and diffusion logarithmically weaker than a full Laplacian.",

keywords = "Besov spaces, Global regularity, Magnetohydrodynamics system, Navier-Stokes equations",

author = "Durga KC and Kazuo Yamazaki",

note = "Publisher Copyright: {\textcopyright} 2014 Elsevier Inc.",

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AU - KC, Durga

AU - Yamazaki, Kazuo

PY - 2015/5/1

Y1 - 2015/5/1

N2 - We study the two-dimensional generalized Lans alpha magnetohydrodynamics system. We show that the solution pairs of velocity and magnetic fields to this system preserve their initial regularity in two cases: dissipation logarithmically weaker than a full Laplacian and zero diffusion, zero dissipation and diffusion logarithmically weaker than a full Laplacian.

AB - We study the two-dimensional generalized Lans alpha magnetohydrodynamics system. We show that the solution pairs of velocity and magnetic fields to this system preserve their initial regularity in two cases: dissipation logarithmically weaker than a full Laplacian and zero diffusion, zero dissipation and diffusion logarithmically weaker than a full Laplacian.

KW - Besov spaces

KW - Global regularity

KW - Magnetohydrodynamics system

KW - Navier-Stokes equations

UR - http://www.scopus.com/inward/record.url?scp=84920983689&partnerID=8YFLogxK

U2 - 10.1016/j.jmaa.2014.12.024

DO - 10.1016/j.jmaa.2014.12.024

M3 - Article

AN - SCOPUS:84920983689

SN - 0022-247X

VL - 425

SP - 234

EP - 248

JO - Journal of Mathematical Analysis and Applications

JF - Journal of Mathematical Analysis and Applications

IS - 1

ER -

Logarithmically extended global regularity result of Lans-alpha MHD system in two-dimensional space

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Keywords

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