On non-resistive limit of 1D MHD equations with no vacuum at infinity

In this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori ν (resistivity coefficient)-independent estimates, we establ...

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Autores principales:	Li Zilai, Wang Huaqiao, Ye Yulin
Formato:	article
Lenguaje:	EN
Publicado:	De Gruyter 2021
Materias:	1d compressible mhd equations cauchy problem global strong solutions non-resistive limit 35d35 35q35 76n10 76w05 Analysis QA299.6-433
Acceso en línea:	https://doaj.org/article/beaf92bb46ce412eb43939d76f76361f
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spelling	oai:doaj.org-article:beaf92bb46ce412eb43939d76f76361f2021-12-05T14:10:40ZOn non-resistive limit of 1D MHD equations with no vacuum at infinity2191-94962191-950X10.1515/anona-2021-0209https://doaj.org/article/beaf92bb46ce412eb43939d76f76361f2021-11-01T00:00:00Zhttps://doi.org/10.1515/anona-2021-0209https://doaj.org/toc/2191-9496https://doaj.org/toc/2191-950XIn this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori ν (resistivity coefficient)-independent estimates, we establish the non-resistive limit of the global strong solutions with large initial data. Moreover, as a by-product, the global well-posedness of strong solutions for the compressible resistive MHD equations is also established.Li ZilaiWang HuaqiaoYe YulinDe Gruyterarticle1d compressible mhd equationscauchy problemglobal strong solutionsnon-resistive limit35d3535q3576n1076w05AnalysisQA299.6-433ENAdvances in Nonlinear Analysis, Vol 11, Iss 1, Pp 702-725 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	1d compressible mhd equations cauchy problem global strong solutions non-resistive limit 35d35 35q35 76n10 76w05 Analysis QA299.6-433
spellingShingle	1d compressible mhd equations cauchy problem global strong solutions non-resistive limit 35d35 35q35 76n10 76w05 Analysis QA299.6-433 Li Zilai Wang Huaqiao Ye Yulin On non-resistive limit of 1D MHD equations with no vacuum at infinity
description	In this paper, the Cauchy problem for the one-dimensional compressible isentropic magnetohydrodynamic (MHD) equations with no vacuum at infinity is considered, but the initial vacuum can be permitted inside the region. By deriving a priori ν (resistivity coefficient)-independent estimates, we establish the non-resistive limit of the global strong solutions with large initial data. Moreover, as a by-product, the global well-posedness of strong solutions for the compressible resistive MHD equations is also established.
format	article
author	Li Zilai Wang Huaqiao Ye Yulin
author_facet	Li Zilai Wang Huaqiao Ye Yulin
author_sort	Li Zilai
title	On non-resistive limit of 1D MHD equations with no vacuum at infinity
title_short	On non-resistive limit of 1D MHD equations with no vacuum at infinity
title_full	On non-resistive limit of 1D MHD equations with no vacuum at infinity
title_fullStr	On non-resistive limit of 1D MHD equations with no vacuum at infinity
title_full_unstemmed	On non-resistive limit of 1D MHD equations with no vacuum at infinity
title_sort	on non-resistive limit of 1d mhd equations with no vacuum at infinity
publisher	De Gruyter
publishDate	2021
url	https://doaj.org/article/beaf92bb46ce412eb43939d76f76361f
work_keys_str_mv	AT lizilai onnonresistivelimitof1dmhdequationswithnovacuumatinfinity AT wanghuaqiao onnonresistivelimitof1dmhdequationswithnovacuumatinfinity AT yeyulin onnonresistivelimitof1dmhdequationswithnovacuumatinfinity
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On non-resistive limit of 1D MHD equations with no vacuum at infinity

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