The Non-Relativistic Limit for the e-MHD Equations

We investigate the non-relativistic limit for the e-MHD equations in a three-dimension unit periodic torus. With the prepared initial data, our result shows that the small parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems (incompress...

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Detalles Bibliográficos
Autores principales: Wang, Hongli, Zhao, Jie
Formato: Online Artículo Texto
Lenguaje:English
Publicado: Hindawi Publishing Corporation 2014
Materias:
Research Article
Acceso en línea:https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3929535/
https://www.ncbi.nlm.nih.gov/pubmed/24672303
http://dx.doi.org/10.1155/2014/261082
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author Wang, Hongli
Zhao, Jie
author_facet Wang, Hongli
Zhao, Jie
author_sort Wang, Hongli
collection PubMed
description We investigate the non-relativistic limit for the e-MHD equations in a three-dimension unit periodic torus. With the prepared initial data, our result shows that the small parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems (incompressible Euler equations) have smooth solutions. Moreover, the formal limit is rigorously justified.
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spelling pubmed-39295352014-03-26 The Non-Relativistic Limit for the e-MHD Equations Wang, Hongli Zhao, Jie ScientificWorldJournal Research Article We investigate the non-relativistic limit for the e-MHD equations in a three-dimension unit periodic torus. With the prepared initial data, our result shows that the small parameter problems have unique solutions existing in the finite time interval where the corresponding limit problems (incompressible Euler equations) have smooth solutions. Moreover, the formal limit is rigorously justified. Hindawi Publishing Corporation 2014-01-30 /pmc/articles/PMC3929535/ /pubmed/24672303 http://dx.doi.org/10.1155/2014/261082 Text en Copyright © 2014 H. Wang and J. Zhao. https://creativecommons.org/licenses/by/3.0/ This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
spellingShingle Research Article
Wang, Hongli
Zhao, Jie
The Non-Relativistic Limit for the e-MHD Equations
title The Non-Relativistic Limit for the e-MHD Equations
title_full The Non-Relativistic Limit for the e-MHD Equations
title_fullStr The Non-Relativistic Limit for the e-MHD Equations
title_full_unstemmed The Non-Relativistic Limit for the e-MHD Equations
title_short The Non-Relativistic Limit for the e-MHD Equations
title_sort non-relativistic limit for the e-mhd equations
topic Research Article
url https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3929535/
https://www.ncbi.nlm.nih.gov/pubmed/24672303
http://dx.doi.org/10.1155/2014/261082
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