The inviscid and non-resistive limit in the Cauchy problem for 3-D nonhomogeneous incompressible magneto-hydrodynamics

DOI10.1016/S0252-9602(11)60283-XzbMath1240.76052OpenAlexW2371059361MaRDI QIDQ655913

Jian-Wen Zhang

Publication date: 27 January 2012

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(11)60283-x

zbMATH Keywords

convergence rateideal MHD3-D nonhomogeneous incompressible MHDinviscid and non-resistive limitlocal-in-time solution

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Hyperbolic conservation laws (35L65) Magnetohydrodynamics and electrohydrodynamics (76W05) Viscous-inviscid interaction (76D09)

Related Items (8)

Large-time behavior of the strong solution to nonhomogeneous incompressible MHD system with general initial data ⋮ Zero kinematic viscosity-magnetic diffusion limit of the incompressible viscous magnetohydrodynamic equations with Navier boundary conditions ⋮ A blow-up criterion for 3D nonhomogeneous incompressible magnetohydrodynamic equations with vacuum ⋮ Vanishing capillarity-viscosity limit for the incompressible inhomogeneous fluid models of Korteweg type ⋮ Global existence of 2D nonhomogeneous incompressible magnetohydrodynamics with vacuum ⋮ Proof of Taylor's conjecture on magnetic helicity conservation ⋮ The combined inviscid and non-resistive limit for the nonhomogeneous incompressible magnetohydrodynamic equations with Navier boundary conditions ⋮ Remarks about the inviscid limit for the \(n\)-dimension magnetohydrodynamic system in the \(L^p\) type space

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