Global well-posedness of the full compressible Hall-MHD equations

This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large oscillations. In addition, the large time behavior...

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Bibliographic Details
Published inAdvances in nonlinear analysis Vol. 10; no. 1; pp. 1235 - 1254
Main Authors Tao, Qiang, Zhu, Canze
Format Journal Article
LanguageEnglish
Published De Gruyter 24.04.2021
Subjects
35A01
35Q35
76W05
full compressible Hall-MHD equations
global existence
large time behavior
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Summary:This paper deals with a Cauchy problem of the full compressible Hall-magnetohydrodynamic flows. We establish the existence and uniqueness of global solution, provided that the initial energy is suitably small but the initial temperature allows large oscillations. In addition, the large time behavior of the global solution is obtained.
ISSN:2191-9496
2191-950X
DOI:10.1515/anona-2020-0178