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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Format: | Article |
Language: | English |
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Wiley
2017-01-01
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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. |
format | Article |
id | doaj-art-1984d1777c3d4564867493ff277d932d |
institution | Kabale University |
issn | 1687-9120 1687-9139 |
language | English |
publishDate | 2017-01-01 |
publisher | Wiley |
record_format | Article |
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 |