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

A Hierarchy of Hydrodynamic Models for Plasmas. Quasi-Neutral Limits in the Drift-Diffusion Equations

Zero-Mass-Electrons Limits in Hydrodynamic Models for Plasmas

Zero–Relaxation–Time Limits in the Hydrodynamic Equations for Plasmas Revisited

A rigorous proof of the zero-relaxation-time limits in the hydrodynamic equations for plasmas is given. The equations consist of the Euler equations for the electrons and/or ions coupled with a linear or nonlinear Poisson equation. The proof is based on high energy estimates for the Euler equations and appropriate compactness arguments. The theorem is valid for all adiabatic states for both ele...

The Zero-electron-mass Limit in the Hydrodynamic Model for Plasmas

Abstract. The limit of vanishing ratio of the electron mass to the ion mass in the isentropic transient Euler-Poisson equations with periodic boundary conditions is proved. The equations consist of the conservation laws for the electron density and current density for given ion density, coupled to the Poisson equation for the electrostatic potential. The limit is related to the low-Mach-number ...

Zero - Relaxation - Time Limits in theHydrodynamic Equations for Plasmas

A rigorous proof of the zero-relaxation-time limits in the hydrodynamic equations for plasmas is given. The equations consist of the Euler equations for the electrons and/or ions coupled with a linear or nonlinear Poisson equation. The proof is based on high energy estimates for the Euler equations and appropriate compactness arguments. The theorem is valid for all adiabatic states for both ele...