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Volume 37, Issue 4
Global Well-Posedness and Incompressible Limit of the Hall-Magnetohydrodynamic System in a Bounded Domain

Yanmin Mu, Wenkang Wang & Jing Zhang

DOI: 10.4208/jpde.v37.n4.7

J. Part. Diff. Eq., 37 (2024), pp. 482-490.

Published online: 2024-12

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  • 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.

  • Keywords

Compressible Hall-magnetohydrodynamic system, global well-posedness, incompressible limit.

  • AMS Subject Headings

35Q30, 76D03, 76D05, 76D07

  • Copyright

COPYRIGHT: © Global Science Press

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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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