Incompressible Limit of the Nonisentropic Ideal Magnetohydrodynamic Equations

DOI10.1137/15M102842XzbMath1338.35367arXiv1301.5126OpenAlexW3102839930MaRDI QIDQ5743838

Song Jiang, Qiang Chang Ju, Fu-Cai Li

Publication date: 8 February 2016

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1301.5126

zbMATH Keywords

incompressible limitnonisentropiccompressible ideal MHD equations

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) PDEs in connection with fluid mechanics (35Q35) A priori estimates in context of PDEs (35B45) Magnetohydrodynamics and electrohydrodynamics (76W05) Classical solutions to PDEs (35A09)

Related Items (20)

Incompressible limit of nonisentropic Hookean elastodynamics ⋮ Incompressible limit of isentropic magnetohydrodynamic equations with ill-prepared data in bounded domains ⋮ Low Mach number limit of Navier-Stokes equations with large temperature variations in bounded domains ⋮ Diffusive wave in the low Mach limit for compressible Navier-Stokes equations ⋮ Singular limit of the nonisentropic compressible ideal MHD equations in a domain with boundary ⋮ Low Mach number limit of the full compressible Hall-magnetohydrodynamic equation with general initial data ⋮ Stability of 2D inviscid MHD equations with only vertical magnetic diffusion on T2 ⋮ Incompressible limit of the Ericksen-Leslie parabolic-hyperbolic liquid crystal model ⋮ Incompressible Limit of Ideal Magnetohydrodynamic Equations with a Perfectly Conducting Wall Condition ⋮ Low Mach number limit of a compressible Euler-Korteweg model. ⋮ A new blowup criterion for strong solutions to the Cauchy problem of three-dimensional compressible magnetohydrodynamic equations ⋮ Low Mach number limit of nonisentropic inviscid Hookean elastodynamics ⋮ 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 for the compressible inertial Qian-Sheng model of liquid crystals: convergence for classical solutions ⋮ Low Mach number limit of multidimensional steady flows on the airfoil problem ⋮ Small Alfvén number limit for incompressible magneto-hydrodynamics in a domain with boundaries ⋮ Low Mach number limit of the full compressible Navier-Stokes-Maxwell system ⋮ Unnamed Item ⋮ Incompressible limit of non-isentropic compressible magnetohydrodynamic equations with zero magnetic diffusivity in bounded domains ⋮ Low Mach number limit of the non-isentropic ideal magnetohydrodynamic equations

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