Global solution to the \(n\)-dimensional non-resistive MHD system with damping in magnetic field

DOI10.1016/j.aml.2018.02.008zbMath1390.35289OpenAlexW2789783161MaRDI QIDQ1642078

Xiaoping Zhai, Zhi Min Chen

Publication date: 20 June 2018

Published in: Applied Mathematics Letters (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.aml.2018.02.008

zbMATH Keywords

Besov spaceglobal solutionMHD system

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)

Related Items (2)

Global solutions to the damped MHD system ⋮ Global small solutions to the 3D MHD system with a velocity damping term

Cites Work

• Local existence for the non-resistive MHD equations in nearly optimal Sobolev spaces
• Local existence for the non-resistive MHD equations in Besov spaces
• Higher order commutator estimates and local existence for the non-resistive MHD equations and related models
• Global solution to the incompressible inhomogeneous Navier-Stokes equations with some large initial data
• Fourier Analysis and Nonlinear Partial Differential Equations
• 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

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