Global strong solutions to the anisotropic three-dimensional incompressible magnetohydrodynamic system
type: Item
instance of: scholarly article
title: Global strong solutions to the anisotropic three-dimensional incompressible magnetohydrodynamic system
author: Bin Han
author: Na Zhao
published in: Mathematical Methods in the Applied Sciences
publication date: 2024-07-18T00:00:00Z
Mathematics Subject Classification ID: 35A01
Mathematics Subject Classification ID: 35B35
Mathematics Subject Classification ID: 35B65
Mathematics Subject Classification ID: 76D03
Mathematics Subject Classification ID: 76E25
zbMATH DE Number: 7883078
zbMATH Keywords: anisotropic
zbMATH Keywords: global solutions
zbMATH Keywords: MHD system
MaRDI profile type: Publication
cites work: Anisotropic Navier-Stokes equation in critical spaces
cites work: On the global wellposedness to the 3-D incompressible anisotropic Navier-Stokes equations
cites work: Global wellposed problem for the 3-D incompressible anisotropic Navier-Stokes equations in an anisotropic space
cites work: An introduction to magnetohydrodynamics
cites work: Magnetic Reconnection
cites work: Inéquations en thermoélasticité et magnétohydrodynamique
cites work: Global existence for the magnetohydrodynamic system in critical spaces
cites work: Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
cites work: Global small solutions to a complex fluid model in three dimensional
cites work: Global Small Solutions to Three-Dimensional Incompressible Magnetohydrodynamical System
cites work: On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
cites work: Large time behavior of solutions to 3-D MHD system with initial data near equilibrium
cites work: Global small solutions of 2-D incompressible MHD system
cites work: Global existence and decay of smooth solution for the 2-D MHD equations without magnetic diffusion
cites work: Global well-posedness for the 2D MHD equations without magnetic diffusion in a strip domain
cites work: Global classical solutions of three dimensional viscous MHD system without magnetic diffusion on periodic boxes
cites work: Asymptotic behaviors of global solutions to the two-dimensional non-resistive MHD equations with large initial perturbations
cites work: On axially symmetric incompressible magnetohydrodynamics in three dimensions
cites work: BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
cites work: The 2D MHD equations with horizontal dissipation and horizontal magnetic diffusion
cites work: Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
cites work: The 2D Incompressible Magnetohydrodynamics Equations with only Magnetic Diffusion
cites work: Global classical solutions of 2D MHD system with only magnetic diffusion on periodic domain
cites work: Global solutions of 3D incompressible MHD system with mixed partial dissipation and magnetic diffusion near an equilibrium
cites work: Global well-posedness of the incompressible magnetohydrodynamics
cites work: Local existence for the non-resistive MHD equations in Besov spaces
cites work: Global solutions of nonlinear magnetohydrodynamics with large initial data
cites work: Global well-posedness for the 3-D MHD equations with partial diffusion in the periodic domain
cites work: Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion
cites work: Global Regularity for the 2D MHD Equations with Partial Hyper-resistivity
cites work: Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
cites work: Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
cites work: On the critical blow up criterion with one velocity component for 3D incompressible MHD system
cites work: Improved blow up criterion for the three dimensional incompressible magnetohydrodynamics system
cites work: On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfvén waves
cites work: Global existence and large-time behavior of solutions to the three-dimensional equations of compressible magnetohydrodynamic flows
cites work: Serrin-type blowup criterion for viscous, compressible, and heat conducting Navier-Stokes and magnetohydrodynamic flows
cites work: The 2D magnetohydrodynamic equations with magnetic diffusion
cites work: Global regularity of 2D generalized MHD equations with magnetic diffusion
cites work: Q4645521
cites work: Global Small Solution to the 2D MHD System with a Velocity Damping Term
cites work: Global well-posedness of the MHD equations via the comparison principle
cites work: Global Well-Posedness for the 2-D MHD Equations with Magnetic Diffusion
cites work: Remark on the global regularity of 2D MHD equations with almost Laplacian magnetic diffusion
cites work: Global regularity of 2D almost resistive MHD equations
cites work: Global existence and uniqueness theorem to 2-D incompressible non-resistive MHD system with non-equilibrium background magnetic field
cites work: Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
DOI: 10.1002/MMA.10117
description: scientific article; zbMATH DE number 7883078