Quasineutral limit of the pressureless Euler-Poisson equation for ions

DOI10.1090/qam/1424zbMath1341.35125arXiv1304.0187OpenAlexW2274105270MaRDI QIDQ2809452

Bo-ling Guo, Xue-ke Pu

Publication date: 30 May 2016

Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1304.0187

zbMATH Keywords

compressible Euler equationquasineutral limitEuler-Poisson equation

Mathematics Subject Classification ID

PDEs in connection with fluid mechanics (35Q35) Singular perturbations in context of PDEs (35B25) Asymptotic expansions of solutions to PDEs (35C20)

Related Items

Derivation of the mKdV equation from the Euler-Poisson system at critical densities ⋮ Global well-posedness for 3D Euler-Maxwell two-fluids system ⋮ Quasi-neutral limit for the full Euler-Poisson system in one-dimensional space ⋮ The initial layer problem of the Euler–Poisson in collisionless plasma ⋮ THE QUASI-NEUTRAL LIMIT OF THE COMPRESSIBLE MAGNETOHYDRODYNAMIC FLOWS FOR IONIC DYNAMICS ⋮ Quasi-neutral limit of the Navier–Stokes–Fourier–Poisson system for ionic dynamics ⋮ Long Wavelength Limit for the Quantum Euler--Poisson Equation ⋮ Quasineutral limit of the Euler-Poisson system under strong magnetic fields ⋮ Quasineutral limit for the quantum Navier-Stokes-Poisson equations

Cites Work

• Unnamed Item
• Unnamed Item
• Global solutions of the Euler-Maxwell two-fluid system in 3D
• From Vlasov-Poisson to Korteweg-de Vries and Zakharov-Kuznetsov
• Numerical approximation of the Euler-Poisson-Boltzmann model in the quasineutral limit
• Global smooth ion dynamics in the Euler-Poisson system
• Quasi-neutral limit of the full bipolar Euler-Poisson system
• Compressible fluid flow and systems of conservation laws in several space variables
• Oscillatory perturbations of the Navier-Stokes equations
• Quasineutral limit of the pressureless Euler-Poisson equation
• KdV limit of the Euler-Poisson system
• Critical thresholds in Euler-Poisson equations
• Dispersive Limit of the Euler--Poisson System in Higher Dimensions
• The Cauchy Problem for the Euler–Poisson System and Derivation of the Zakharov–Kuznetsov Equation
• Quasineutral Limit of the Vlasov-Poisson System with Massless Electrons
• Quasineutral Limit of Euler–Poisson System with and without Viscosity
• Commutator estimates and the euler and navier-stokes equations
• Quasineutral limit of an euler-poisson system arising from plasma physics
• convergence of the vlasov-poisson system to the incompressible euler equations
• Quasineutral limit of the Euler-Poisson system for ions in a domain with boundaries
• Convergence of Compressible Euler–Maxwell Equations to Incompressible Euler Equations
• The Convergence of the Navier–Stokes–Poisson System to the Incompressible Euler Equations
• Quasi-Neutral Limit of the Euler–Poisson and Euler–Monge–Ampère Systems
• Quasi-neutral limit for Euler-Poisson system