Influence of a background magnetic field on a 2D magnetohydrodynamic flow

DOI10.1088/1361-6544/abb928zbMath1466.35295OpenAlexW3158521631MaRDI QIDQ4986224

Wen Feng, Farzana Hafeez, Jiahong Wu

Publication date: 27 April 2021

Published in: Nonlinearity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1361-6544/abb928

zbMATH Keywords

stabilitywave equationsmagnetohydrodynamic equationspartial dissipation

Mathematics Subject Classification ID

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) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Viscous-inviscid interaction (76D09)

Related Items (15)

Global existence and stability for the 2D Oldroyd-B model with mixed partial dissipation ⋮ Stabilizing effect of magnetic field on the 2D ideal magnetohydrodynamic flow with mixed partial damping ⋮ Global Well-Posedness of the 2D MHD Equations of Damped Wave Type in Sobolev Space ⋮ Global well-posedness for 2D non-resistive compressible MHD system in periodic domain ⋮ Stability and large time behavior for the 2D BMHD system with partial dissipation and thermal damping ⋮ Nonlinear stability for the 2D incompressible MHD system with fractional dissipation in the horizontal direction ⋮ Mild ill-posedness in \(L^\infty\) for 2D magnetohydrodynamic system with damping ⋮ The 2D magnetohydrodynamic system with Euler‐like velocity equation and partial magnetic diffusion ⋮ Stabilizing effect of the magnetic field and large-time behavior of 2D incompressible MHD system with vertical dissipation ⋮ Stability for a system of 2D incompressible anisotropic magnetohydrodynamic equations ⋮ Stability and exponential decay for magnetohydrodynamic equations ⋮ Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation ⋮ Stability of hydrostatic equilibrium in a uniform magnetic field with mixed partial dissipation ⋮ Stabilizing Phenomenon for 2D Anisotropic Magnetohydrodynamic System near a Background Magnetic Field ⋮ Stability of hydrostatic equilibrium for the 2D BMHD system with partial dissipation

Cites Work

• Unnamed Item
• Unnamed Item
• 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
• Exponential growth of the vorticity gradient for the Euler equation on the torus
• 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
• 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
• Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
• 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
• 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
• On the decay of higher-order norms of the solutions of Navier–Stokes equations
• Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
• 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
• Double exponential growth of the vorticity gradient for the two-dimensional Euler equation
• Global Regularity for the 2D MHD Equations with Partial Hyper-resistivity

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