Stability and optimal decay for the 3D magnetohydrodynamic equations with only horizontal dissipation
DOI10.1007/s00028-023-00940-9OpenAlexW4391718018MaRDI QIDQ6155110
Haifeng Shang, Jiahong Wu, Unnamed Author
Publication date: 16 February 2024
Published in: Journal of Evolution Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00028-023-00940-9
Asymptotic behavior of solutions to PDEs (35B40) 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) Uniqueness problems for PDEs: global uniqueness, local uniqueness, non-uniqueness (35A02)
Cites Work
- Unnamed Item
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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 small solutions of 2-D incompressible MHD system
- 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
- The Beale-Kato-Majda criterion for the 3D magneto-hydrodynamics equations
- Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
- \(L^ 2\) decay for weak solutions of the Navier-Stokes equations
- On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves
- Remark on the global regularity of 2D MHD equations with almost Laplacian magnetic diffusion
- Global regularity of 2D almost resistive MHD equations
- Large time behavior of solutions to 3-D MHD system with initial data near equilibrium
- Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion
- The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
- The 3D incompressible magnetohydrodynamic equations with fractional partial dissipation
- A remark on global regularity of 2D generalized magnetohydrodynamic equations
- Unique weak solutions of the non-resistive magnetohydrodynamic equations with fractional dissipation
- Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation
- Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain
- 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
- Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
- The resistive magnetohydrodynamic equation near an equilibrium
- A class of global large solutions to the magnetohydrodynamic equations with fractional dissipation
- 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
- Moments and lower bounds in the far-field of solutions to quasi-geostrophic flows
- Remarks on the global regularity of the two-dimensional magnetohydrodynamics system with zero dissipation
- Vorticity and Incompressible Flow
- Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
- Fourier Analysis and Nonlinear Partial Differential Equations
- The 2D magnetohydrodynamic equations with magnetic diffusion
- Low Mach Number Limit of Viscous Compressible Magnetohydrodynamic Flows
- 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
- The Physics of Vibration
- Regularity criteria for incompressible magnetohydrodynamics equations in three dimensions
- Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion
- Influence of a background magnetic field on a 2D magnetohydrodynamic flow
- Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic Flow
- Stabilizing Phenomenon for 2D Anisotropic Magnetohydrodynamic System near a Background Magnetic Field
- 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
- 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
- Global Solutions to 3D Incompressible MHD System with Dissipation in Only One Direction