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Global Well-Posedness and Incompressible Limit of the Hall-Magnetohydrodynamic System in a Bounded Domain
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@Article{JPDE-37-482,
author = {MU , YanminWANG , Wenkang and ZHANG , Jing},
title = {Global Well-Posedness and Incompressible Limit of the Hall-Magnetohydrodynamic System in a Bounded Domain},
journal = {Journal of Partial Differential Equations},
year = {2024},
volume = {37},
number = {4},
pages = {482--490},
abstract = {
In this paper we firstly prove the global well-posedness for the compressible Hall-magnetohydrodynamic system in a bounded domain when the initial data is small. On this basis, we continue to study the convergence of the corresponding equations with the well-prepared initial data as the Mach number tends to zero.
}, issn = {2079-732X}, doi = {https://doi.org/10.4208/jpde.v37.n4.7}, url = {http://global-sci.org/intro/article_detail/jpde/23692.html} }
TY - JOUR
T1 - Global Well-Posedness and Incompressible Limit of the Hall-Magnetohydrodynamic System in a Bounded Domain
AU - MU , Yanmin
AU - WANG , Wenkang
AU - ZHANG , Jing
JO - Journal of Partial Differential Equations
VL - 4
SP - 482
EP - 490
PY - 2024
DA - 2024/12
SN - 37
DO - http://doi.org/10.4208/jpde.v37.n4.7
UR - https://global-sci.org/intro/article_detail/jpde/23692.html
KW - Compressible Hall-magnetohydrodynamic system, global well-posedness, incompressible limit.
AB -
In this paper we firstly prove the global well-posedness for the compressible Hall-magnetohydrodynamic system in a bounded domain when the initial data is small. On this basis, we continue to study the convergence of the corresponding equations with the well-prepared initial data as the Mach number tends to zero.
MU , YanminWANG , Wenkang and ZHANG , Jing. (2024). Global Well-Posedness and Incompressible Limit of the Hall-Magnetohydrodynamic System in a Bounded Domain.
Journal of Partial Differential Equations. 37 (4).
482-490.
doi:10.4208/jpde.v37.n4.7
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