Uniform well-posedness and singular limits of the isentropic Navier-Stokes-Maxwell system in a bounded domain

DOI10.1007/s00033-014-0484-8zbMath1327.76167OpenAlexW1976641305MaRDI QIDQ493563

Gen Nakamura, Jishan Fan, Fu-Cai Li

Publication date: 3 September 2015

Published in: ZAMP. Zeitschrift für angewandte Mathematik und Physik (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00033-014-0484-8

zbMATH Keywords

zero Mach number limitbounded domainisentropic Navier-Stokes-Maxwell systemzero dielectric constant limit

Mathematics Subject Classification ID

PDEs in connection with optics and electromagnetic theory (35Q60) Singular perturbations in context of PDEs (35B25) Magnetohydrodynamics and electrohydrodynamics (76W05)

Related Items (10)

Asymptotic behavior of solutions to an electromagnetic fluid model ⋮ On the large time behavior of the electromagnetic fluid system in \(\mathbb{R}^3\) ⋮ A regularity criterion for the \(3D\) full compressible Navier-Stokes-Maxwell system in a bounded domain ⋮ Scaling invariant regularity criteria for the Navier-Stokes-Maxwell system ⋮ Global weak solution to the degenerate quantum Navier‐Stokes‐Maxwell equations with damping term ⋮ Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain ⋮ Global existence and low Mach number limit to a 3D compressible micropolar fluids model in a bounded domain ⋮ Large time behavior of the isentropic compressible Navier-Stokes-Maxwell system ⋮ Stability of rarefaction wave for isentropic compressible Navier-Stokes-Maxwell equations ⋮ Convergence of the full compressible Navier-Stokes-Maxwell system to the incompressible magnetohydrodynamic equations in a bounded domain. II: Global existence case

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