Large time behaviors of strong solutions to magnetohydrodynamic equations with free boundary and degenerate viscosity

Yaobin Ou; Pan Shi; Peter Wittwer

doi:10.1063/1.5038584

Large time behaviors of strong solutions to magnetohydrodynamic equations with free boundary and degenerate viscosity

Journal of Mathematical Physics ◽

10.1063/1.5038584 ◽

2018 ◽

Vol 59 (8) ◽

pp. 081510 ◽

Cited By ~ 2

Author(s):

Yaobin Ou ◽

Pan Shi ◽

Peter Wittwer

Keyword(s):

Free Boundary ◽

Large Time ◽

Strong Solutions ◽

Magnetohydrodynamic Equations ◽

Degenerate Viscosity

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Global existence and large time asymptotic behavior of strong solutions to the 2-D compressible magnetohydrodynamic equations with vacuum

Indiana University Mathematics Journal ◽

10.1512/iumj.2016.65.5813 ◽

2016 ◽

Vol 65 (3) ◽

pp. 925-975 ◽

Cited By ~ 15

Author(s):

Boqiang Lv ◽

Xiaoding Shi ◽

Xinying Xu

Keyword(s):

Asymptotic Behavior ◽

Global Existence ◽

Large Time ◽

Strong Solutions ◽

Magnetohydrodynamic Equations ◽

Time Asymptotic Behavior

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Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent magnetohydrodynamic equations with vacuum

Journal de Mathématiques Pures et Appliquées ◽

10.1016/j.matpur.2016.10.009 ◽

2017 ◽

Vol 108 (1) ◽

pp. 41-62 ◽

Cited By ~ 9

Author(s):

Boqiang Lü ◽

Zhonghai Xu ◽

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Large Time ◽

Strong Solutions ◽

Magnetohydrodynamic Equations ◽

Density Dependent ◽

The Cauchy Problem ◽

Time Asymptotic Behavior

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Global strong solutions to the vacuum free boundary problem for compressible Navier–Stokes equations with degenerate viscosity and gravity force

Journal of Differential Equations ◽

10.1016/j.jde.2015.08.008 ◽

2015 ◽

Vol 259 (11) ◽

pp. 6803-6829 ◽

Cited By ~ 10

Author(s):

Yaobin Ou ◽

Huihui Zeng

Keyword(s):

Free Boundary ◽

Boundary Problem ◽

Free Boundary Problem ◽

Stokes Equations ◽

Strong Solutions ◽

Gravity Force ◽

Navier Stokes ◽

Navier Stokes Equations ◽

Degenerate Viscosity ◽

Global Strong Solutions

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Global Existence and Large Time Behavior of Strong Solutions for 3D Nonhomogeneous Heat-Conducting Magnetohydrodynamic Equations

Journal of Geometric Analysis ◽

10.1007/s12220-021-00661-w ◽

2021 ◽

Author(s):

Xin Zhong

Keyword(s):

Global Existence ◽

Large Time ◽

Strong Solutions ◽

Large Time Behavior ◽

Heat Conducting ◽

Time Behavior ◽

Magnetohydrodynamic Equations ◽

Nonhomogeneous Heat

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Large Time Existence of Special Strong Solutions to MHD Equations in Cylindrical Domains

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-017-0353-2 ◽

2017 ◽

Vol 20 (3) ◽

pp. 1013-1034

Author(s):

Bernard Nowakowski ◽

Gerhard Ströhmer ◽

Wojciech M. Zaja̧czkowski

Keyword(s):

Large Time ◽

Strong Solutions ◽

Mhd Equations ◽

Cylindrical Domains ◽

Time Existence

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Large time existence of strong solutions to micropolar equations in cylindrical domains

Nonlinear Analysis Real World Applications ◽

10.1016/j.nonrwa.2012.07.023 ◽

2013 ◽

Vol 14 (1) ◽

pp. 635-660 ◽

Cited By ~ 23

Author(s):

Bernard Nowakowski

Keyword(s):

Large Time ◽

Strong Solutions ◽

Cylindrical Domains ◽

Time Existence

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Global existence and large time asymptotic behavior of strong solutions to the Cauchy problem of 2D density-dependent Navier–Stokes equations with vacuum

Nonlinearity ◽

10.1088/1361-6544/aab31f ◽

2018 ◽

Vol 31 (6) ◽

pp. 2617-2632 ◽

Cited By ~ 10

Author(s):

Boqiang Lü ◽

Xiaoding Shi ◽

Xin Zhong

Keyword(s):

Cauchy Problem ◽

Asymptotic Behavior ◽

Global Existence ◽

Large Time ◽

Stokes Equations ◽

Strong Solutions ◽

Navier Stokes ◽

Navier Stokes Equations ◽

The Cauchy Problem ◽

Time Asymptotic Behavior

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On local strong solutions to the three-dimensional nonhomogeneous incompressible magnetohydrodynamic equations with density-dependent viscosity and vacuum

Zeitschrift für angewandte Mathematik und Physik ◽

10.1007/s00033-018-0915-z ◽

2018 ◽

Vol 69 (2) ◽

Cited By ~ 10

Author(s):

Sisi Song

Keyword(s):

Three Dimensional ◽

Strong Solutions ◽

Magnetohydrodynamic Equations ◽

Density Dependent ◽

Local Strong Solutions ◽

Dependent Viscosity ◽

Incompressible Magnetohydrodynamic Equations

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Global Existence and Large Time Behavior of Strong Solutions to the 2-D Compressible Nematic Liquid Crystal Flows with Vacuum

Journal of Mathematical Fluid Mechanics ◽

10.1007/s00021-016-0251-z ◽

2016 ◽

Vol 18 (3) ◽

pp. 539-569 ◽

Cited By ~ 4

Author(s):

Teng Wang

Keyword(s):

Liquid Crystal ◽

Global Existence ◽

Nematic Liquid Crystal ◽

Large Time ◽

Strong Solutions ◽

Large Time Behavior ◽

Time Behavior ◽

Nematic Liquid Crystal Flows ◽

Compressible Nematic Liquid Crystal

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On strong solutions to the Cauchy problem of the two-dimensional compressible magnetohydrodynamic equations with vacuum

Nonlinearity ◽

10.1088/0951-7715/28/2/509 ◽

2015 ◽

Vol 28 (2) ◽

pp. 509-530 ◽

Cited By ~ 17

Author(s):

Boqiang Lv ◽

Bin Huang

Keyword(s):

Cauchy Problem ◽

Strong Solutions ◽

Two Dimensional ◽

Magnetohydrodynamic Equations ◽

The Cauchy Problem

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