Year: 2022
Author: Yanjin Wang, Zhouping Xin
Communications in Mathematical Research , Vol. 38 (2022), Iss. 1 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/cmr.2021-0061
Communications in Mathematical Research , Vol. 38 (2022), Iss. 1 : pp. 1–27
Published online: 2022-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 27
Keywords: Compressible MHD inviscid heat-conducting flow magnetic diffusion global well-posedness strip domain.