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Volume 38, Issue 1
Global Well-Posedness of the Inviscid Heat-Conductive Resistive Compressible MHD in a Strip Domain

Yanjin Wang & Zhouping Xin

DOI: 10.4208/cmr.2021-0061

Commun. Math. Res., 38 (2022), pp. 1-27.

Published online: 2021-11

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  • Abstract

This paper concerns the inviscid, heat-conductive and resistive compressible MHD system in a horizontally periodic flat strip domain. The global well-posedness of the problem around an equilibrium with the positive constant density and temperature and a uniform non-horizontal magnetic field is established, and the solution decays to the equilibrium almost exponentially. Our result reveals the strong stabilizing effect of the transversal magnetic field and resistivity as the global well-posedness of compressible inviscid heat-conductive flows in multi-D is unknown.

  • Keywords

Compressible MHD, inviscid heat-conducting flow, magnetic diffusion, global well-posedness, strip domain.

  • AMS Subject Headings

35A01, 35Q35, 76N10, 76W05

  • Copyright

COPYRIGHT: © Global Science Press

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@Article{CMR-38-1, author = {Wang , Yanjin and Xin , Zhouping}, title = {Global Well-Posedness of the Inviscid Heat-Conductive Resistive Compressible MHD in a Strip Domain}, journal = {Communications in Mathematical Research }, year = {2021}, volume = {38}, number = {1}, pages = {1--27}, abstract = {

This paper concerns the inviscid, heat-conductive and resistive compressible MHD system in a horizontally periodic flat strip domain. The global well-posedness of the problem around an equilibrium with the positive constant density and temperature and a uniform non-horizontal magnetic field is established, and the solution decays to the equilibrium almost exponentially. Our result reveals the strong stabilizing effect of the transversal magnetic field and resistivity as the global well-posedness of compressible inviscid heat-conductive flows in multi-D is unknown.

}, issn = {2707-8523}, doi = {https://doi.org/10.4208/cmr.2021-0061}, url = {http://global-sci.org/intro/article_detail/cmr/19954.html} }
TY - JOUR T1 - Global Well-Posedness of the Inviscid Heat-Conductive Resistive Compressible MHD in a Strip Domain AU - Wang , Yanjin AU - Xin , Zhouping JO - Communications in Mathematical Research VL - 1 SP - 1 EP - 27 PY - 2021 DA - 2021/11 SN - 38 DO - http://doi.org/10.4208/cmr.2021-0061 UR - https://global-sci.org/intro/article_detail/cmr/19954.html KW - Compressible MHD, inviscid heat-conducting flow, magnetic diffusion, global well-posedness, strip domain. AB -

This paper concerns the inviscid, heat-conductive and resistive compressible MHD system in a horizontally periodic flat strip domain. The global well-posedness of the problem around an equilibrium with the positive constant density and temperature and a uniform non-horizontal magnetic field is established, and the solution decays to the equilibrium almost exponentially. Our result reveals the strong stabilizing effect of the transversal magnetic field and resistivity as the global well-posedness of compressible inviscid heat-conductive flows in multi-D is unknown.

Wang , Yanjin and Xin , Zhouping. (2021). Global Well-Posedness of the Inviscid Heat-Conductive Resistive Compressible MHD in a Strip Domain. Communications in Mathematical Research . 38 (1). 1-27. doi:10.4208/cmr.2021-0061
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