Well-posedness to the compressible viscous magnetohydrodynamic system

DOI10.1016/j.nonrwa.2011.04.017zbMath1231.76349OpenAlexW1976507059MaRDI QIDQ660699

Cheng Chun Hao

Publication date: 5 February 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.04.017

zbMATH Keywords

global well-posednesshybrid Besov spacescompressible viscous MHD system

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (8)

Large-time behavior of strong solutions to the compressible magnetohydrodynamic system in the critical framework ⋮ Global small solutions to a special \(2\frac{1}{2}\)-D compressible viscous non-resistive MHD system ⋮ Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces ⋮ A remark on the time-decay estimates for the compressible magnetohydrodynamic system ⋮ Stability of stationary solution for the compressible viscous magnetohydrodynamic equations with large potential force in bounded domain ⋮ Well-posedness for compressible MHD systems with highly oscillating initial data ⋮ Convergence of the compressible isentropic magnetohydrodynamic equations to the incompressible magnetohydrodynamic equations in critical spaces ⋮ Global well-posedness of the non-isentropic full compressible magnetohydrodynamic equations

Cites Work

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• Incompressible limit of the compressible magnetohydrodynamic equations with periodic boundary conditions
• Global existence for compressible Navier-Stokes-Poisson equations in three and higher dimensions
• Smooth global solutions for the one-dimensional equations in magnetohydrodynamics
• Existence and continuous dependence of large solutions for the magnetohydrodynamic equa\-tions
• Global existence in critical spaces for compressible Navier-Stokes equations
• Global solutions of nonlinear magnetohydrodynamics with large initial data
• Flows of non-Lipschitzian vector fields and Navier-Stokes equations
• Global existence in critical spaces for flows of compressible viscous and heat-conductive gases

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