A hierachy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations

DOI10.1016/S0294-1449(99)00101-8zbMath0956.35010OpenAlexW2046264547WikidataQ128017411 ScholiaQ128017411MaRDI QIDQ1975933

Yue-Jun Peng, Ansgar Jüngel

Publication date: 27 July 2000

Published in: Annales de l'Institut Henri Poincaré. Analyse Non Linéaire (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AIHPC_2000__17_1_83_0

zbMATH Keywords

quasilinear parabolic equationsasymptotic limitEuler-Poisson systemzero-relaxation-time limitelliptic parabolic systems

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Singular perturbations in context of PDEs (35B25) Motion of charged particles (78A35)

Related Items (18)

Anomalous Sorption Kinetics of Self-Interacting Particles by a Spherical Trap ⋮ Solvability for a drift-diffusion system with Robin boundary conditions ⋮ Three-species drift-diffusion models for memristors ⋮ On the vanishing electron-mass limit in plasma hydrodynamics in unbounded media ⋮ Unnamed Item ⋮ From bipolar Euler-Poisson system to unipolar Euler-Poisson one in the perspective of mass ⋮ Quasi-Neutral Limit to Steady-State Hydrodynamic Model of Semiconductors with Degenerate Boundary ⋮ Nonlinear stability of the bipolar Navier-Stokes-Poisson system with boundary ⋮ The Combined Incompressible Quasineutral Limit of the Stochastic Navier--Stokes--Poisson System ⋮ On the existence of solutions for a drift-diffusion system arising in corrosion modeling ⋮ Quasi-neutral limit for a viscous capillary model of plasma. ⋮ Scale analysis of a hydrodynamic model of plasma ⋮ The zero-electron-mass limit in the hydrodynamic model for plasmas ⋮ Boundary layer analysis and quasi-neutral limits in the drift-diffusion equations ⋮ The global convergence of non-isentropic Euler-Maxwell equations via infinity-ion-mass limit ⋮ Quasi-neutral limit for a model of viscous plasma ⋮ Global smooth solutions to the multi-dimensional hydrodynamic model for two-carrier plasmas ⋮ Existence of global weak solutions for a 3D Navier–Stokes–Poisson–Korteweg equations

This page was built for publication: A hierachy of hydrodynamic models for plasmas. Zero-electron-mass limits in the drift-diffusion equations