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A least squares finite element method using Elsasser variables for magnetohydrodynamic equations

Journal of computational and applied mathematics, 2019-01, Vol.346, p.599-608

2019

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Liouville-type theorems for steady MHD and Hall-MHD equations in R2×T

Journal of mathematical analysis and applications, 2023-12, Vol.528 (2), Article 127518

2023

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Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations

Journal of mathematical analysis and applications, 2020-11, Vol.491 (2), p.124343, Article 124343

2020

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Energy conservation of the resistive and the non‐resistive magnetohydrodynamic equations

Mathematical methods in the applied sciences, 2024-03, Vol.47 (4), p.1994-2005

2024

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Global well‐posedness of the 3D hydrostatic magnetohydrodynamics equations

Mathematical methods in the applied sciences, 2024-08, Vol.47 (12), p.10040-10067

2024

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New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations

Nonlinearity, 2024-03, Vol.37 (3), p.35007

2024

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Liouville type theorems for the stationary Hall‐magnetohydrodynamic equations in local Morrey spaces

Mathematical methods in the applied sciences, 2022-11, Vol.45 (17), p.10891-10903

2022

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Multi‐Ion Oscillitons—Origin of Coherent Magnetospheric EMIC Waves

Journal of geophysical research. Space physics, 2022-10, Vol.127 (10), p.n/a

2022

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High-order ADER-WENO ALE schemes on unstructured triangular meshes-application of several node solvers to hydrodynamics and magnetohydrodynamics

International journal for numerical methods in fluids, 2014-12, Vol.76 (10), p.737-778

2014

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A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

Communications in computational physics, 2014-09, Vol.16 (3), p.718-763

2014

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Stability and asymptotic behavior of the 3D Boussinesq equations with MHD convection

Mathematical methods in the applied sciences, 2023-04, Vol.46 (6), p.7239-7264

2023

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Low Mach Number Limit of Solutions to the Stochastic Compressible Magnetohydrodynamic Equations

Journal of dynamics and differential equations, 2023-09, Vol.35 (3), p.2413-2451

Wang, Huaqiao

2023

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On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

Communications in computational physics, 2011-09, Vol.10 (3), p.635-671

2011

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Remarks on Liouville-Type Theorems for the Steady MHD and Hall-MHD Equations

Journal of nonlinear science, 2022-02, Vol.32 (1), Article 12

2022

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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, 2022-05, Vol.45 (8), p.4698-4726

2022

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Liouville-type theorems for the stationary incompressible inhomogeneous Hall-MHD and MHD equations

Banach journal of mathematical analysis, 2023, Vol.17 (1), Article 13

Liu, Pan

2023

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The tamed MHD equations

Journal of evolution equations, 2021-03, Vol.21 (1), p.969-1018

Schenke, Andre

2021

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On vanishing limits of the shear viscosity and Hall coefficients for the planar compressible Hall‐MHD system

Mathematical methods in the applied sciences, 2022-05, Vol.45 (7), p.3698-3717

2022

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Remark on an improved regularity criterion for the 3D MHD equations

Applied mathematics letters, 2015-04, Vol.42, p.41-46

2015

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Zero Kinematic Viscosity-Magnetic Diffusion Limit of the Incompressible Viscous Magnetohydrodynamic Equations with Navier Boundary Conditions

Acta mathematica scientia, 2021-09, Vol.41 (5), p.1503-1536

2021

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Global existence and zero α limit of the 3D incompressible two‐fluid MHD equations

Mathematical methods in the applied sciences, 2017-11, Vol.40 (16), p.5760-5767

2017

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Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations

Journal of mathematical fluid mechanics, 2021-08, Vol.23 (3), Article 69

2021

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Convergence of the compressible magnetohydrodynamic equations to incompressible magnetohydrodynamic equations

Journal of Differential Equations, 2012-02, Vol.252 (3), p.2725-2738

Li, Yeping

2012

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Singular limits of invariant measures of the 3D MHD-Voigt equations

Communications on pure and applied analysis, 2023, Vol.22 (12), p.3363-3390

2023

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Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients

SIAM journal on mathematical analysis, 2010-01, Vol.42 (6), p.2539-2553

2010

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A least squares finite element method using Elsasser variables for magnetohydrodynamic equations

Liouville-type theorems for steady MHD and Hall-MHD equations in R2×T

Liouville-type theorems for the 3D stationary Navier-Stokes, MHD and Hall-MHD equations

Energy conservation of the resistive and the non‐resistive magnetohydrodynamic equations

Global well‐posedness of the 3D hydrostatic magnetohydrodynamics equations

New Liouville type theorems for the stationary Navier–Stokes, MHD, and Hall–MHD equations

Liouville type theorems for the stationary Hall‐magnetohydrodynamic equations in local Morrey spaces

Multi‐Ion Oscillitons—Origin of Coherent Magnetospheric EMIC Waves

High-order ADER-WENO ALE schemes on unstructured triangular meshes-application of several node solvers to hydrodynamics and magnetohydrodynamics

A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

Stability and asymptotic behavior of the 3D Boussinesq equations with MHD convection

Low Mach Number Limit of Solutions to the Stochastic Compressible Magnetohydrodynamic Equations

On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

Remarks on Liouville-Type Theorems for the Steady MHD and Hall-MHD Equations

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

Liouville-type theorems for the stationary incompressible inhomogeneous Hall-MHD and MHD equations

The tamed MHD equations

On vanishing limits of the shear viscosity and Hall coefficients for the planar compressible Hall‐MHD system

Remark on an improved regularity criterion for the 3D MHD equations

Zero Kinematic Viscosity-Magnetic Diffusion Limit of the Incompressible Viscous Magnetohydrodynamic Equations with Navier Boundary Conditions

Global existence and zero α limit of the 3D incompressible two‐fluid MHD equations

Low Mach Number Limit of the Non-isentropic Ideal Magnetohydrodynamic Equations

Convergence of the compressible magnetohydrodynamic equations to incompressible magnetohydrodynamic equations

Singular limits of invariant measures of the 3D MHD-Voigt equations

Incompressible Limit of the Compressible Magnetohydrodynamic Equations with Vanishing Viscosity Coefficients

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