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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Format: | Article |
Language: | English |
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Wiley
2012-01-01
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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 |