Discontinuity of weak solutions to the 3D NSE and MHD equations in critical and supercritical spaces

Journal of Mathematical Analysis and Applications ◽

10.1016/j.jmaa.2019.123493 ◽

2020 ◽

Vol 481 (2) ◽

pp. 123493

Author(s):

Alexey Cheskidov ◽

Mimi Dai

Keyword(s):

Weak Solutions ◽

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Global weak solutions and long time behavior for 1D compressible MHD equations without resistivity

Journal of Mathematical Physics ◽

10.1063/1.5082758 ◽

2019 ◽

Vol 60 (7) ◽

pp. 071511 ◽

Author(s):

Yang Li ◽

Yongzhong Sun

Keyword(s):

Weak Solutions ◽

Mhd Equations ◽

Time Behavior ◽

Long Time Behavior ◽

Global Weak Solutions ◽

Long Time ◽

Compressible Mhd Equations

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Existence of weak solutions to the time-dependent MHD equations coupled to the heat equation with nonlocal radiation boundary conditions

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2008.09.015 ◽

2009 ◽

Vol 10 (5) ◽

pp. 2914-2936 ◽

Author(s):

Pierre-Étienne Druet

Keyword(s):

Boundary Conditions ◽

Heat Equation ◽

Weak Solutions ◽

Mhd Equations ◽

Time Dependent ◽

Existence Of Weak Solutions ◽

Radiation Boundary Conditions ◽

Radiation Boundary

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Sharp time decay rates of H 1 weak solutions for the 2D MHD equations with linear damping velocity

Nonlinearity ◽

10.1088/1361-6544/ab8f7d ◽

2020 ◽

Vol 33 (9) ◽

pp. 4857-4877

Author(s):

Hailong Ye ◽

Yan Jia ◽

Bo-Qing Dong

Keyword(s):

Weak Solutions ◽

Decay Rates ◽

Mhd Equations ◽

Time Decay Rates ◽

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Extension criterion on regularity for weak solutions to the 3D MHD equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.1263 ◽

2010 ◽

Vol 33 (12) ◽

pp. 1496-1503 ◽

Author(s):

Sadek Gala

Keyword(s):

Weak Solutions ◽

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A new regularity criterion for weak solutions to the viscous MHD equations in terms of the vorticity field

Nonlinear Analysis ◽

10.1016/j.na.2009.12.045 ◽

2010 ◽

Vol 72 (9-10) ◽

pp. 3643-3648 ◽

Author(s):

Yong Zhou ◽

Sadek Gala

Keyword(s):

Weak Solutions ◽

Regularity Criterion ◽

Mhd Equations ◽

Vorticity Field

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Almost sure existence of global weak solutions for incompressible MHD equations in negative-order Sobolev space

Journal of Differential Equations ◽

10.1016/j.jde.2017.03.026 ◽

2017 ◽

Vol 263 (2) ◽

pp. 1611-1642 ◽

Author(s):

Lihuai Du ◽

Ting Zhang

Keyword(s):

Sobolev Space ◽

Weak Solutions ◽

Mhd Equations ◽

Global Weak Solutions ◽

Negative Order ◽

Incompressible Mhd

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Global weak solutions to a two-dimensional compressible MHD equations of viscous non-resistive fluids

Journal of Differential Equations ◽

10.1016/j.jde.2019.04.024 ◽

2019 ◽

Vol 267 (6) ◽

pp. 3827-3851 ◽

Author(s):

Yang Li ◽

Yongzhong Sun

Keyword(s):

Weak Solutions ◽

Mhd Equations ◽

Two Dimensional ◽

Global Weak Solutions ◽

Compressible Mhd Equations

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Interior Condition on Suitable Weak Solutions to the 3D MHD Equations Via Pressure

Acta Applicandae Mathematicae ◽

10.1007/s10440-017-0113-6 ◽

2017 ◽

Vol 152 (1) ◽

pp. 83-91

Author(s):

Jae-Myoung Kim

Keyword(s):

Weak Solutions ◽

Mhd Equations ◽

Suitable Weak Solutions

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Time decay rate of weak solutions to the generalized MHD equations in R2

Applied Mathematics and Computation ◽

10.1016/j.amc.2016.07.028 ◽

2017 ◽

Vol 292 ◽

pp. 1-8

Author(s):

Caidi Zhao ◽

Bei Li

Keyword(s):

Weak Solutions ◽

Mhd Equations ◽

Generalized Mhd Equations ◽

Time Decay Rate

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On the uniqueness of weak solutions of the 3D MHD equations in the Orlicz–Morrey space

Applicable Analysis ◽

10.1080/00036811.2011.636357 ◽

2013 ◽

Vol 92 (4) ◽

pp. 776-783 ◽

Author(s):

Sadek Gala ◽

Yoshihiro Sawano ◽

Hitoshi Tanaka

Keyword(s):

Weak Solutions ◽

Morrey Space ◽

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