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 - <p style="text-align: justify;">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.</p>