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