Global well‐posedness and existence of uniform attractor for magnetohydrodynamic equations

Chengfei Ai; Zhong Tan; Jianfeng Zhou

doi:10.1002/mma.6414

Global well‐posedness and existence of uniform attractor for magnetohydrodynamic equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.6414 ◽

2020 ◽

Vol 43 (12) ◽

pp. 7045-7069

Author(s):

Chengfei Ai ◽

Zhong Tan ◽

Jianfeng Zhou

Keyword(s):

Well Posedness ◽

Magnetohydrodynamic Equations ◽

Uniform Attractor

Download Full-text

Global well-posedness to the 2D Cauchy problem of nonhomogeneous heat conducting magnetohydrodynamic equations with large initial data and vacuum

Calculus of Variations and Partial Differential Equations ◽

10.1007/s00526-021-01957-z ◽

2021 ◽

Vol 60 (2) ◽

Author(s):

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Initial Data ◽

Heat Conducting ◽

Well Posedness ◽

Magnetohydrodynamic Equations ◽

Large Initial Data ◽

Nonhomogeneous Heat

Download Full-text

Global well-posedness of classical solutions to 3D compressible magnetohydrodynamic equations with large potential force

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5369 ◽

2018 ◽

Vol 42 (3) ◽

pp. 747-766

Author(s):

Zhilin Lin ◽

Bingyuan Huang ◽

Jinrui Huang

Keyword(s):

Classical Solutions ◽

Well Posedness ◽

Magnetohydrodynamic Equations ◽

Potential Force ◽

Large Potential

Download Full-text

Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations

Acta Mathematica Sinica English Series ◽

10.1007/s10114-016-4799-6 ◽

2016 ◽

Vol 32 (2) ◽

pp. 227-250 ◽

Cited By ~ 1

Author(s):

Fu Yi Xu ◽

Xin Guang Zhang ◽

Yong Hong Wu ◽

Lou Caccetta

Keyword(s):

Well Posedness ◽

Magnetohydrodynamic Equations

Download Full-text

On the well-posedness of strong solution to ideal magnetohydrodynamic equations

International Journal of Computer Mathematics ◽

10.1080/00207160.2017.1283413 ◽

2017 ◽

Vol 94 (12) ◽

pp. 2458-2465 ◽

Cited By ~ 1

Author(s):

Mingshuo Liu ◽

Rong Yuan

Keyword(s):

Strong Solution ◽

Well Posedness ◽

Magnetohydrodynamic Equations ◽

Ideal Magnetohydrodynamic

Download Full-text

Local well-posedness for the ideal incompressible density dependent magnetohydrodynamic equations

Communications on Pure & Applied Analysis ◽

10.3934/cpaa.2010.9.813 ◽

2010 ◽

Vol 9 (3) ◽

pp. 813-818 ◽

Cited By ~ 4

Author(s):

Yong Zhou ◽

◽

Jishan Fan ◽

Keyword(s):

Well Posedness ◽

Magnetohydrodynamic Equations ◽

Density Dependent ◽

The Ideal

Download Full-text

Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces

Kinetic and Related Models ◽

10.3934/krm.2017030 ◽

2017 ◽

Vol 10 (3) ◽

pp. 741-784 ◽

Cited By ~ 3

Author(s):

Fucai Li ◽

◽

Yanmin Mu ◽

Dehua Wang ◽

◽

...

Keyword(s):

Mach Number ◽

Well Posedness ◽

Magnetohydrodynamic Equations ◽

Critical Spaces ◽

Low Mach Number ◽

Low Mach Number Limit

Download Full-text

Local well-posedness to the three-dimensional barotropic compressible magnetohydrodynamic equations with vacuum

Journal of Mathematical Physics ◽

10.1063/5.0039481 ◽

2021 ◽

Vol 62 (3) ◽

pp. 031501

Author(s):

Qingmei Xu ◽

Xin Zhong

Keyword(s):

Three Dimensional ◽

Well Posedness ◽

Magnetohydrodynamic Equations

Download Full-text

Local well‐posedness to the 2D Cauchy problem of nonhomogeneous heat‐conducting Navier–Stokes and magnetohydrodynamic equations with vacuum at infinity

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.8065 ◽

2022 ◽

Author(s):

Hong Chen ◽

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Navier Stokes ◽

Heat Conducting ◽

Well Posedness ◽

Magnetohydrodynamic Equations ◽

Nonhomogeneous Heat

Download Full-text

Global well-posedness to three-dimensional full compressible magnetohydrodynamic equations with vacuum

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-020-01408-3 ◽

2020 ◽

Vol 71 (6) ◽

Author(s):

Yang Liu ◽

Xin Zhong

Keyword(s):

Three Dimensional ◽

Well Posedness ◽

Magnetohydrodynamic Equations

Download Full-text

Uniform local well-posedness for the density-dependent magnetohydrodynamic equations

Applied Mathematics Letters ◽

10.1016/j.aml.2011.05.027 ◽

2011 ◽

Vol 24 (11) ◽

pp. 1945-1949 ◽

Cited By ~ 9

Author(s):

Jishan Fan ◽

Yong Zhou

Keyword(s):

Well Posedness ◽

Magnetohydrodynamic Equations ◽

Density Dependent

Download Full-text