Large time behavior of the solutions to 3D incompressible MHD system with horizontal dissipation or horizontal magnetic diffusion

DOI10.1007/s00526-023-02647-8arXiv2207.06843OpenAlexW4391294235WikidataQ129042408 ScholiaQ129042408MaRDI QIDQ6186460

No author found.

Publication date: 2 February 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2207.06843

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic expansions of solutions to PDEs (35C20) Magnetohydrodynamics and electrohydrodynamics (76W05)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the global well-posedness to the 3-D incompressible anisotropic magnetohydrodynamics equations
• Global small solutions of 2-D incompressible MHD system
• Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• Global solutions to the 3-D incompressible anisotropic Navier-Stokes system in the critical spaces
• BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
• Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations in an anisotropic space
• 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
• Global well-posedness of the incompressible magnetohydrodynamics
• Weak and classical solutions of the two-dimensional magnetohydrodynamic equations
• Large-time behaviour of solutions to the magneto-hydrodynamics equations
• Global existence of 3D MHD equations with mixed partial dissipation and magnetic diffusion
• Stability and optimal decay for the 3D Navier-Stokes equations with horizontal dissipation
• Stability and large time decay for the three-dimensional anisotropic magnetohydrodynamic equations
• Enhanced dissipation for the third component of 3D anisotropic Navier-Stokes equations
• Stability of perturbations near a background magnetic field of the 2D incompressible MHD equations with mixed partial dissipation
• Global well-posedness of 3-D anisotropic Navier-Stokes system with small unidirectional derivative
• 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
• On the ideal magnetohydrodynamics in three-dimensional thin domains: well-posedness and asymptotics
• On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations
• Asymptotic Profiles of Nonstationary Incompressible Navier--Stokes Flows in the Whole Space
• Decay properties of solutions to the incompressible magnetohydrodynamics equations in a half space
• Some mathematical questions related to the mhd equations
• Anisotropic viscous dissipation in three-dimensional magnetic merging solutions
• HARDY SPACES OF SOLENOIDAL VECTOR FIELDS, WITH APPLICATIONS TO THE NAVIER-STOKES EQUATIONS
• 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
• A Uniqueness Result for the Navier--Stokes Equations with Vanishing Vertical Viscosity
• Decay of solutions to magnetohydrodynamics equations in two space dimensions
• Fluids with anisotropic viscosity
• On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
• Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion
• Stabilizing Phenomenon for 2D Anisotropic Magnetohydrodynamic System near a Background Magnetic Field
• Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
• Non-Uniform Decay of MHD Equations With and Without Magnetic Diffusion
• Large time behavior of solutions to the 3D anisotropic Navier-Stokes equation

This page was built for publication: Large time behavior of the solutions to 3D incompressible MHD system with horizontal dissipation or horizontal magnetic diffusion