Stabilizing Phenomenon for 2D Anisotropic Magnetohydrodynamic System near a Background Magnetic Field
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Publication:5162761
DOI10.1137/21M139791XzbMath1477.35169MaRDI QIDQ5162761
Suhua Lai, Jiahong Wu, Jian-Wen Zhang
Publication date: 5 November 2021
Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)
Smoothness and regularity of solutions to PDEs (35B65) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Existence, uniqueness, and regularity theory for incompressible viscous fluids (76D03) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)
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Cites Work
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- 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 well-posedness for the 2D non-resistive MHD equations in two kinds of periodic domains
- 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 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
- 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
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- The resistive magnetohydrodynamic equation near an equilibrium
- Global small solutions to a complex fluid model in three dimensional
- Global well-posedness of the MHD equations in a homogeneous magnetic field
- An Introduction to Magnetohydrodynamics
- Vorticity and Incompressible Flow
- Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
- Decay of magnetohydrodynamic turbulence at low magnetic Reynolds number
- 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
- On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
- Influence of a background magnetic field on a 2D magnetohydrodynamic flow
- Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic Flow
- 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