The global strong solutions of the 3D incompressible Hall-MHD system with variable density

In this paper, we focus on the well-posedness problem of the three-dimensional incompressible viscous and resistive Hall-magnetohydrodynamics system (Hall-MHD) with variable density. We mainly prove the existence and uniqueness issues of the density-dependent incompressible Hall-magnetohydrodynamic...

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Published inMathematical modelling and analysis Vol. 29; no. 2; pp. 288 - 308
Main Authors An, Shu, Chen, Jing, Han, Bin
Format Journal Article
LanguageEnglish
Published Vilnius Vilnius Gediminas Technical University 26.03.2024
Subjects
critical spaces
Density
Electromagnetism
Fluid dynamics
global solution
Hall-MHD
Magnetic fields
Magnetohydrodynamics
Solar physics
variable density
Hall-MHD
critical spaces
variable density
global solution
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ISSN1392-6292
1648-3510
DOI10.3846/mma.2024.17776

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Abstract In this paper, we focus on the well-posedness problem of the three-dimensional incompressible viscous and resistive Hall-magnetohydrodynamics system (Hall-MHD) with variable density. We mainly prove the existence and uniqueness issues of the density-dependent incompressible Hall-magnetohydrodynamic system in critical spaces on .
AbstractList In this paper, we focus on the well-posedness problem of the three-dimensional incompressible viscous and resistive Hall-magnetohydrodynamics system (Hall-MHD) with variable density. We mainly prove the existence and uniqueness issues of the density-dependent incompressible Hall-magnetohydrodynamic system in critical spaces on R3.
In this paper, we focus on the well-posedness problem of the three-dimensional incompressible viscous and resistive Hall-magnetohydrodynamics system (Hall-MHD) with variable density. We mainly prove the existence and uniqueness issues of the density-dependent incompressible Hall-magnetohydrodynamic system in critical spaces on [R.sup.3]. Keywords: variable density, Hall-MHD, global solution, critical spaces. AMS Subject Classification: 35Q30; 35Q35; 76D03.
In this paper, we focus on the well-posedness problem of the three-dimensional incompressible viscous and resistive Hall-magnetohydrodynamics system (Hall-MHD) with variable density. We mainly prove the existence and uniqueness issues of the density-dependent incompressible Hall-magnetohydrodynamic system in critical spaces on .
Audience Academic
Author An, Shu
Chen, Jing
Han, Bin
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SubjectTerms critical spaces
Density
Electromagnetism
Fluid dynamics
global solution
Hall-MHD
Magnetic fields
Magnetohydrodynamics
Solar physics
variable density
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Title The global strong solutions of the 3D incompressible Hall-MHD system with variable density
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