Global well‐posedness and asymptotics of full compressible non‐resistive magnetohydrodynamics system with large external potential forces

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.7774 ◽

2021 ◽

Author(s):

Wanrong Yang ◽

Xiaokui Zhao

Keyword(s):

External Potential ◽

Well Posedness ◽

Magnetohydrodynamics System ◽

Potential Forces

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On the well-posedness of magnetohydrodynamics system with Hall and ion-slip in critical spaces

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-020-01358-w ◽

2020 ◽

Vol 71 (4) ◽

Author(s):

Lvqiao Liu

Keyword(s):

Well Posedness ◽

Critical Spaces ◽

Ion Slip ◽

Magnetohydrodynamics System

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Global well-posedness of the two-dimensional incompressible magnetohydrodynamics system with variable density and electrical conductivity

Journal of Functional Analysis ◽

10.1016/j.jfa.2014.06.002 ◽

2014 ◽

Vol 267 (5) ◽

pp. 1488-1539 ◽

Author(s):

Guilong Gui

Keyword(s):

Electrical Conductivity ◽

Variable Density ◽

Well Posedness ◽

Two Dimensional ◽

Incompressible Magnetohydrodynamics ◽

Magnetohydrodynamics System

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On the Global Motion of Viscous Compressible Barotropic Flows Subject to Large External Potential Forces and Vacuum

SIAM Journal on Mathematical Analysis ◽

10.1137/130941298 ◽

2015 ◽

Vol 47 (2) ◽

pp. 1121-1153 ◽

Author(s):

Jing Li ◽

Jianwen Zhang ◽

Junning Zhao

Keyword(s):

External Potential ◽

Global Motion ◽

Potential Forces

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Global well-posedness for the Hall-magnetohydrodynamics system in larger critical Besov spaces

Journal of Differential Equations ◽

10.1016/j.jde.2020.10.014 ◽

2021 ◽

Vol 274 ◽

pp. 382-413

Author(s):

Lvqiao Liu ◽

Jin Tan

Keyword(s):

Besov Spaces ◽

Well Posedness ◽

Critical Besov Spaces ◽

Magnetohydrodynamics System

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On the Navier–Stokes equations for three-dimensional compressible barotropic flow subject to large external potential forces with discontinuous initial data

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2010.12.002 ◽

2011 ◽

Vol 95 (5) ◽

pp. 495-512 ◽

Author(s):

Jing Li ◽

Akitaka Matsumura

Keyword(s):

Initial Data ◽

Stokes Equations ◽

Three Dimensional ◽

External Potential ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Discontinuous Initial Data ◽

Barotropic Flow ◽

Potential Forces

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On the compressible viscous barotropic flows subject to large external potential forces in a half space with Navier's boundary conditions

10.22541/au.159077893.30347159 ◽

2020 ◽

Author(s):

Changzhen Song ◽

Jianwen Zhang

Keyword(s):

Boundary Conditions ◽

External Potential ◽

Potential Forces

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On the compressible viscous barotropic flows subject to large external potential forces in a half space with Navier's boundary conditions

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6975 ◽

2020 ◽

Author(s):

Changzhen Song ◽

Jianwen Zhang

Keyword(s):

Boundary Conditions ◽

External Potential ◽

Potential Forces

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Well-posedness for the Hall-magnetohydrodynamics system in critical space

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2021.125621 ◽

2022 ◽

Vol 505 (2) ◽

pp. 125621

Author(s):

Lvqiao Liu

Keyword(s):

Well Posedness ◽

Critical Space ◽

Magnetohydrodynamics System

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Well-posedness of Hall-magnetohydrodynamics system forced by L $$\acute{\mathrm{e}}$$ e ´ vy noise

Stochastic Partial Differential Equations Analysis and Computations ◽

10.1007/s40072-018-0129-6 ◽

2018 ◽

Vol 7 (3) ◽

pp. 331-378 ◽

Author(s):

Kazuo Yamazaki ◽

Manil T. Mohan

Keyword(s):

Well Posedness ◽

Magnetohydrodynamics System

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On the well-posedness of the Hall-magnetohydrodynamics system in critical spaces

Communications in Partial Differential Equations ◽

10.1080/03605302.2020.1822392 ◽

2020 ◽

Vol 46 (1) ◽

pp. 31-65 ◽

Author(s):

Raphaël Danchin ◽

Jin Tan

Keyword(s):

Well Posedness ◽

Critical Spaces ◽

Magnetohydrodynamics System

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