Dissipative solutions and the incompressible inviscid limits of the compressible magnetohydrodynamic system in unbounded domains

DOI10.3934/dcds.2014.34.121zbMath1284.35310OpenAlexW2331053393WikidataQ59316481 ScholiaQ59316481MaRDI QIDQ379696

Eduard Feireisl, Yongzhong Sun, Antonin Novotny

Publication date: 11 November 2013

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

Full work available at URL: https://doi.org/10.3934/dcds.2014.34.121

zbMATH Keywords

inviscid limitincompressible limitcompressible MHD system

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Navier-Stokes equations (35Q30) Magnetohydrodynamics and electrohydrodynamics (76W05) Compressible fluids and gas dynamics (76N99)

Related Items (14)

Zero Mach number limit of the compressible Hall-magnetohydrodynamic equations ⋮ Low Mach number limit for the compressible magnetohydrodynamic equations in a periodic domain ⋮ The incompressible limit for compressible MHD equations in \(L^p\) type critical spaces ⋮ On Convergence of Numerical Solutions for the Compressible MHD System with Exactly Divergence-Free Magnetic Field ⋮ Global small solutions to a special \(2\frac{1}{2}\)-D compressible viscous non-resistive MHD system ⋮ Inviscid incompressible limits under mild stratification: a rigorous derivation of the Euler-Boussinesq system ⋮ Solubility of unsteady equations of the three-dimensional motion of two-component viscous compressible heat-conducting fluids ⋮ Local well-posedness and low Mach number limit of the compressible magnetohydrodynamic equations in critical spaces ⋮ Onsager's conjecture in bounded domains for the conservation of entropy and other companion laws ⋮ Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions ⋮ Low stratification of the complete Euler system ⋮ Optimal convergence rates for the strong solutions to the compressible MHD equations with potential force ⋮ Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations ⋮ Long time behavior of solutions to the compressible MHD system in multi-dimensions

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