Uniform global existence and convergence of Euler-Maxwell systems with small parameters

DOI10.3934/cpaa.2016025zbMath1353.35198OpenAlexW2530958840MaRDI QIDQ334488

Victor Wasiolek

Publication date: 1 November 2016

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2016025

zbMATH Keywords

non-relativistic limitglobal-in-time smooth solutionsuniform energy estimateszero-relaxation limit

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) First-order nonlinear hyperbolic equations (35L60) Maxwell equations (35Q61) Euler equations (35Q31)

Related Items (11)

The global combined quasi-neutral and zero-electron-mass limit of non-isentropic Euler-Poisson systems ⋮ Lagrangian regularity of the electron magnetohydrodynamics flow on a bounded domain ⋮ Global well-posedness for 3D Euler-Maxwell two-fluids system ⋮ Global convergence in non-relativistic limits for Euler-Maxwell system near non-constant equilibrium ⋮ Zero-relaxation limits of the non-isentropic Euler-Maxwell system for well/ill-prepared initial data ⋮ Global non-relativistic quasi-neutral limit for a two-fluid Euler-Maxwell system ⋮ Uniform global convergence of non-isentropic Euler-Maxwell systems with dissipation ⋮ Convergence rates in zero-relaxation limits for Euler-Maxwell and Euler-Poisson systems ⋮ Global quasi-neutral limit of Euler-Maxwell systems with velocity dissipation ⋮ The global convergence of non-isentropic Euler-Maxwell equations via infinity-ion-mass limit ⋮ Convergence to steady-states of compressible Navier-Stokes-Maxwell equations

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