Stabilizing effect of the magnetic field and large-time behavior of 2D incompressible MHD system with vertical dissipation

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Navier-Stokes equations for incompressible viscous fluids (76D05) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Cites Work

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On the uniqueness for the 2D MHD equations without magnetic diffusion
On the global regularity of two-dimensional generalized magnetohydrodynamics system
Global Cauchy problem of 2D generalized MHD equations
Small scale creation for solutions of the incompressible two-dimensional Euler equation
Global small solutions of 2-D incompressible MHD system
Global small solutions to the compressible 2D magnetohydrodynamic system without magnetic diffusion
Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
\(L^ 2\) decay for weak solutions of the Navier-Stokes equations
On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves
Global regularity of 2D almost resistive MHD equations
Global classical solutions of three dimensional viscous MHD system without magnetic diffusion on periodic boxes
Large time behavior of solutions to 3-D MHD system with initial data near equilibrium
Global well-posedness of the incompressible magnetohydrodynamics
Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion
Large-time behaviour of solutions to the magneto-hydrodynamics equations
The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
The 3D incompressible magnetohydrodynamic equations with fractional partial dissipation
Local existence and uniqueness for the non-resistive MHD equations in homogeneous Besov spaces
Stability of perturbations near a background magnetic field of the 2D incompressible MHD equations with mixed partial dissipation
Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium
Smoothing and stabilization effects of magnetic field on electrically conducting fluids
Stability and exponential decay for the 2D anisotropic Navier-Stokes equations with horizontal dissipation
Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
The resistive magnetohydrodynamic equation near an equilibrium
Global regularity of the logarithmically supercritical MHD system with zero diffusivity
Global well-posedness of the MHD equations in a homogeneous magnetic field
On the global well-posedness of \(N\)-dimensional generalized MHD system in anisotropic spaces
Remarks on the global regularity of the two-dimensional magnetohydrodynamics system with zero dissipation
An Introduction to Magnetohydrodynamics
Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
Decay of magnetohydrodynamic turbulence at low magnetic Reynolds number
The 2D magnetohydrodynamic equations with magnetic diffusion
Exact two-dimensionalization of low-magnetic-Reynolds-number flows subject to a strong magnetic field
Longtime Dynamics of a Conductive Fluid in the Presence of a Strong Magnetic Field
The role of angular momentum in the magnetic damping of turbulence
Magnetic Reconnection
Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain
Global Well-Posedness of an Initial-Boundary Value Problem for Viscous Non-Resistive MHD Systems
Magnetic damping of jets and vortices
On the decay of higher-order norms of the solutions of Navier–Stokes equations
Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
Influence of a background magnetic field on a 2D magnetohydrodynamic flow
Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic Flow
The D incompressible Navier–Stokes equations with partial hyperdissipation
Global Well-posedness of two-dimensional Magnetohydrodynamic Flows with Partial Dissipation and Magnetic Diffusion
Global Small Solution to the 2D MHD System with a Velocity Damping Term
Influence of an external magnetic field on forced turbulence in a swirling flow of liquid metal
The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
Global Regularity for the 2D MHD Equations with Partial Hyper-resistivity

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