Global Well-Posedness and Incompressible Limit of the Hall-Magnetohydrodynamic System in a Bounded Domain
Year: 2024
Author: Yanmin Mu, Wenkang Wang, Jing Zhang
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 4 : pp. 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.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/jpde.v37.n4.7
Journal of Partial Differential Equations, Vol. 37 (2024), Iss. 4 : pp. 482–490
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 9
Keywords: Compressible Hall-magnetohydrodynamic system global well-posedness incompressible limit.