Regularizing Model for the 2D MHD Equations with Zero Viscosity

We consider the regularity of two dimensional incompressible magneto-hydrodynamics equations with zero viscosity. We provide an approximating system to the equations and prove global-in-time existence of classical solution to this approximating system. By using approximating system, a priori estimat...

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Main Authors: Ensil Kang, Jihoon Lee
Format: Article
Language:English
Published: Wiley 2012-01-01
Series:Abstract and Applied Analysis
Online Access:http://dx.doi.org/10.1155/2012/212786
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author Ensil Kang
Jihoon Lee
author_facet Ensil Kang
Jihoon Lee
author_sort Ensil Kang
collection DOAJ
description We consider the regularity of two dimensional incompressible magneto-hydrodynamics equations with zero viscosity. We provide an approximating system to the equations and prove global-in-time existence of classical solution to this approximating system. By using approximating system, a priori estimates for the equations can be justified.
format Article
id doaj-art-ac4496f8b00e47d0ba3601258d1c0031
institution Kabale University
issn 1085-3375
1687-0409
language English
publishDate 2012-01-01
publisher Wiley
record_format Article
series Abstract and Applied Analysis
spelling doaj-art-ac4496f8b00e47d0ba3601258d1c00312025-02-03T01:29:55ZengWileyAbstract and Applied Analysis1085-33751687-04092012-01-01201210.1155/2012/212786212786Regularizing Model for the 2D MHD Equations with Zero ViscosityEnsil Kang0Jihoon Lee1Department of Mathematics, Chosun University, Gwangju 501-759, Republic of KoreaDepartment of Mathematics, Sungkyunkwan University, Suwon 440-746, Republic of KoreaWe consider the regularity of two dimensional incompressible magneto-hydrodynamics equations with zero viscosity. We provide an approximating system to the equations and prove global-in-time existence of classical solution to this approximating system. By using approximating system, a priori estimates for the equations can be justified.http://dx.doi.org/10.1155/2012/212786
spellingShingle Ensil Kang
Jihoon Lee
Regularizing Model for the 2D MHD Equations with Zero Viscosity
Abstract and Applied Analysis
title Regularizing Model for the 2D MHD Equations with Zero Viscosity
title_full Regularizing Model for the 2D MHD Equations with Zero Viscosity
title_fullStr Regularizing Model for the 2D MHD Equations with Zero Viscosity
title_full_unstemmed Regularizing Model for the 2D MHD Equations with Zero Viscosity
title_short Regularizing Model for the 2D MHD Equations with Zero Viscosity
title_sort regularizing model for the 2d mhd equations with zero viscosity
url http://dx.doi.org/10.1155/2012/212786
work_keys_str_mv AT ensilkang regularizingmodelforthe2dmhdequationswithzeroviscosity
AT jihoonlee regularizingmodelforthe2dmhdequationswithzeroviscosity