Stability for the $2\frac12$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow

Fuente: arXiv
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Autori principali: Zhai, Xiaoping, Li, Yongsheng, Zhao, Yajuan
Natura: Preprint
Pubblicazione: 2024
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author Zhai, Xiaoping
Li, Yongsheng
Zhao, Yajuan
author_facet Zhai, Xiaoping
Li, Yongsheng
Zhao, Yajuan
contents In this paper, we are concerned with the initial boundary values problem associated to the compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow, where the magnetic field is vertical. More precisely, by exploiting the intrinsic structure of the system and introducing several new unknown quantities, we overcome the difficulty stemming from the lack of dissipation for density and magnetic field, and prove the global well-posedness of strong solutions in the framework of Soboles spaces $H^3$. In addition, we also get the exponential decay for this non-resistive system. Different from the known results [23], [24], [42], we donot need the assumption that the background magnetic field is positive here.
format Preprint
id arxiv_https___arxiv_org_abs_2408_07571
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Stability for the $2\frac12$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow
Zhai, Xiaoping
Li, Yongsheng
Zhao, Yajuan
Analysis of PDEs
In this paper, we are concerned with the initial boundary values problem associated to the compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow, where the magnetic field is vertical. More precisely, by exploiting the intrinsic structure of the system and introducing several new unknown quantities, we overcome the difficulty stemming from the lack of dissipation for density and magnetic field, and prove the global well-posedness of strong solutions in the framework of Soboles spaces $H^3$. In addition, we also get the exponential decay for this non-resistive system. Different from the known results [23], [24], [42], we donot need the assumption that the background magnetic field is positive here.
title Stability for the $2\frac12$-D compressible viscous non-resistive and heat-conducting magnetohydrodynamic flow
topic Analysis of PDEs
url https://arxiv.org/abs/2408.07571