Smoothing and stabilization effects of magnetic field on electrically conducting fluids
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Publication:2219049
DOI10.1016/j.jde.2020.12.012zbMath1458.35339OpenAlexW3116560621MaRDI QIDQ2219049
Jiahong Wu, Xiaojing Xu, Chaoying Li
Publication date: 19 January 2021
Published in: Journal of Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jde.2020.12.012
Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) Stability in context of PDEs (35B35) Magnetohydrodynamics and electrohydrodynamics (76W05) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)
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Cites Work
- Unnamed Item
- Unnamed Item
- On the uniqueness for the 2D MHD equations without magnetic diffusion
- Global regularity for a class of generalized magnetohydrodynamic equations
- On global regularity of 2D generalized magnetohydrodynamic equations
- On the global regularity of two-dimensional generalized magnetohydrodynamics system
- Global Cauchy problem of 2D generalized MHD equations
- Global small solutions of 2-D incompressible MHD system
- Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
- 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
- Local existence for the non-resistive MHD equations in Besov spaces
- Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
- Generalized MHD 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
- Stability for a system of the 2D magnetohydrodynamic equations with partial dissipation
- 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 solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium
- Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
- 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
- Inéquations en thermoélasticité et magnétohydrodynamique
- Remarks on the global regularity of the two-dimensional magnetohydrodynamics system with zero dissipation
- An Introduction to Magnetohydrodynamics
- Vorticity and Incompressible Flow
- Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
- Some mathematical questions related to the mhd equations
- 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
- 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
- Non-Uniform Decay of MHD Equations With and Without Magnetic Diffusion
- Global Regularity for the 2D MHD Equations with Partial Hyper-resistivity
- Space-time decay estimates for the incompressible viscous resistive MHD and Hall-MHD equations