Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation

Chuong Van Tran; Xinwei Yu; Zhichun Zhai

doi:10.1016/j.na.2013.02.019

Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation

Chuong Van Tran, Xinwei Yu, Zhichun Zhai

Applied Mathematics

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

Abstract

In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity. We prove global regularity of solutions when the hyper-viscosity is sufficiently strong.

Original language	English
Pages (from-to)	43-51
Number of pages	9
Journal	Nonlinear Analysis: Theory, Methods and Applications
Volume	85
Early online date	16 Mar 2013
DOIs	https://doi.org/10.1016/j.na.2013.02.019
Publication status	Published - Jul 2013

Keywords

Magnetohydrodynamics
Generalized diffusion
Global regularity

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10.1016/j.na.2013.02.019

2012 GMHD nD Nonlinear Analysis Revised 201302
This is the author's version of this article published in Nonlinear Analysis. The published version Copyright © 2013 Elsevier Ltd is available from http://www.sciencedirect.com
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title = "Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation",

abstract = "In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity. We prove global regularity of solutions when the hyper-viscosity is sufficiently strong.",

keywords = "Magnetohydrodynamics , Generalized diffusion, Global regularity",

author = "Tran, {Chuong Van} and Xinwei Yu and Zhichun Zhai",

year = "2013",

month = jul,

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T1 - Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation

AU - Tran, Chuong Van

AU - Yu, Xinwei

AU - Zhai, Zhichun

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Y1 - 2013/7

N2 - In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity. We prove global regularity of solutions when the hyper-viscosity is sufficiently strong.

AB - In this brief note we study the n-dimensional magnetohydrodynamic equations with hyper-viscosity and zero resistivity. We prove global regularity of solutions when the hyper-viscosity is sufficiently strong.

KW - Magnetohydrodynamics

KW - Generalized diffusion

KW - Global regularity

U2 - 10.1016/j.na.2013.02.019

DO - 10.1016/j.na.2013.02.019

M3 - Article

SN - 0362-546X

VL - 85

SP - 43

EP - 51

JO - Nonlinear Analysis: Theory, Methods and Applications

JF - Nonlinear Analysis: Theory, Methods and Applications

ER -

Note on solution regularity of the generalized magnetohydrodynamic equations with partial dissipation

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Keywords

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