Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows

We consider the compressible models of magnetohydrodynamic flows giving rise to a variety of mathematical problems in many areas. We derive a rigorous quasi-geostrophic equation governed by magnetic field from the stratified flows of the rotational compressible magnetohydrodynamic flows with the wel...

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Main Author: Young-Sam Kwon
Format: Article
Language:English
Published: Wiley 2017-01-01
Series:Advances in Mathematical Physics
Online Access:http://dx.doi.org/10.1155/2017/9493186
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author Young-Sam Kwon
author_facet Young-Sam Kwon
author_sort Young-Sam Kwon
collection DOAJ
description We consider the compressible models of magnetohydrodynamic flows giving rise to a variety of mathematical problems in many areas. We derive a rigorous quasi-geostrophic equation governed by magnetic field from the stratified flows of the rotational compressible magnetohydrodynamic flows with the well-prepared initial data and the tool of proof is based on the relative entropy. Furthermore, the convergence rates are obtained.
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institution Kabale University
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publishDate 2017-01-01
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series Advances in Mathematical Physics
spelling doaj-art-1984d1777c3d4564867493ff277d932d2025-02-03T01:06:19ZengWileyAdvances in Mathematical Physics1687-91201687-91392017-01-01201710.1155/2017/94931869493186Singular Limit of the Rotational Compressible Magnetohydrodynamic FlowsYoung-Sam Kwon0Department of Mathematics, Dong-A University, Busan 604-714, Republic of KoreaWe consider the compressible models of magnetohydrodynamic flows giving rise to a variety of mathematical problems in many areas. We derive a rigorous quasi-geostrophic equation governed by magnetic field from the stratified flows of the rotational compressible magnetohydrodynamic flows with the well-prepared initial data and the tool of proof is based on the relative entropy. Furthermore, the convergence rates are obtained.http://dx.doi.org/10.1155/2017/9493186
spellingShingle Young-Sam Kwon
Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows
Advances in Mathematical Physics
title Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows
title_full Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows
title_fullStr Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows
title_full_unstemmed Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows
title_short Singular Limit of the Rotational Compressible Magnetohydrodynamic Flows
title_sort singular limit of the rotational compressible magnetohydrodynamic flows
url http://dx.doi.org/10.1155/2017/9493186
work_keys_str_mv AT youngsamkwon singularlimitoftherotationalcompressiblemagnetohydrodynamicflows