Global stability solution of the 2D MHD equations with mixed partial dissipation

DOI10.3934/dcds.2021141OpenAlexW3199961543MaRDI QIDQ2070887

Bo-Qing Dong, Yana Guo, Yan Jia

Publication date: 24 January 2022

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2021141

zbMATH Keywords

stabilizationMHD equationspartial dissipation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Magnetohydrodynamics and electrohydrodynamics (76W05) Existence problems for PDEs: global existence, local existence, non-existence (35A01) Perturbations in context of PDEs (35B20) Stability and instability of magnetohydrodynamic and electrohydrodynamic flows (76E25)

Cites Work

• Unnamed Item
• Unnamed Item
• Global small solutions of 2-D incompressible MHD system
• Global regularity for the 2D MHD equations with mixed partial dissipation and magnetic diffusion
• BKM's criterion and global weak solutions for magnetohydrodynamics with zero viscosity
• Global solutions to the 2D viscous, non-resistive MHD system with large background magnetic field
• 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
• Global regularity and time decay for the 2D magnetohydrodynamic equations with fractional dissipation and partial magnetic diffusion
• 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
• Global well-posedness of the MHD equations in a homogeneous magnetic field
• Inéquations en thermoélasticité et magnétohydrodynamique
• Moments and lower bounds in the far-field of solutions to quasi-geostrophic flows
• Some mathematical questions related to the mhd equations
• On the Global Solution of a 3‐D MHD System with Initial Data near Equilibrium
• Stabilization of a Background Magnetic Field on a 2 Dimensional Magnetohydrodynamic Flow
• 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
• Global Small Solutions to an MHD‐Type System: The Three‐Dimensional Case
• Global Regularity for the 2D MHD Equations with Partial Hyper-resistivity

This page was built for publication: Global stability solution of the 2D MHD equations with mixed partial dissipation