Asymptotic limits of the isentropic compressible viscous magnetohydrodynamic equations with Navier-slip boundary conditions

DOI10.1016/j.jde.2019.07.011zbMath1421.76268OpenAlexW2963338960WikidataQ127494375 ScholiaQ127494375MaRDI QIDQ2273504

Feng Xie, Liang Guo, Fu-Cai Li

Publication date: 24 September 2019

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2019.07.011

zbMATH Keywords

weak solutionsincompressible limitNavier-slip boundary conditionscombined inviscid and incompressible limitcompressible isentropic magnetohydrodynamic equations

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Magnetohydrodynamics and electrohydrodynamics (76W05) Weak solutions to PDEs (35D30) Compressible fluids and gas dynamics (76Nxx)

Related Items (9)

Uniform regularity for the compressible Navier-Stokes system with low Mach number in domains with boundaries ⋮ Incompressible limit of isentropic magnetohydrodynamic equations with ill-prepared data in bounded domains ⋮ Global solutions to an initial boundary problem for the compressible 3D MHD equations with Navier-slip and perfectly conducting boundary conditions in exterior domains ⋮ Incompressible limit for the free surface Navier-Stokes system ⋮ On the inviscid limit of the compressible Navier-Stokes equations near Onsager's regularity in bounded domains ⋮ Entropy-bounded solutions to the 3D compressible heat-conducting magnetohydrodynamic equations with vacuum at infinity ⋮ Global well-posedness and exponential decay rates of the strong solutions to the two-dimensional full compressible magnetohydrodynamics equations with vacuum in some class of large initial data ⋮ Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations ⋮ Convergence rate of fully compressible Navier-Stokes equations in three-dimensional bounded domains

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