This paper is concerned with the quasi-neutral limit to a one-dimensional steady
hydrodynamic model of semiconductors in the form of Euler–Poisson equations with …

The aim of this paper is to provide a justification of the Maxwell–Boltzmann approximation of
electron density from kinetic models. First, under reasonable regularity assumption, we …

We consider an Euler--Poisson system with small parameters arising in the modeling of
unmagnetized plasmas and semiconductors. For initial data close to constant equilibrium …

We study on the whole space R d the compressible Euler system with damping coupled to
the Poisson equation when the damping coefficient tends towards infinity. We first prove a …

In this paper we consider zero-relaxation limits for periodic smooth solutions of Euler–
Maxwell systems. For well-prepared initial data, we propose an approximate solution based …

This paper is concerned with the relaxation-time limits to a multidimensional radial steady
hydrodynamic model of semiconductors in the form of Euler–Poisson equations with sonic or …

The quasi-neutral limit of the multi-dimensional non-isentropic bipolar Euler-Poisson system
is considered in the present paper. It is shown that for well-prepared initial data the smooth …

This paper concerns the relaxation time limits for the one-dimensional steady hydrodynamic
model of semiconductors in the form of Euler–Poisson equations with sonic or nonsonic …

Abstract The Euler-Maxwell system with small parameters arises in the modeling of
magnetized plasmas and semiconductors. For initial data close to constant equilibrium …

Abstract The Euler–Poisson system consists of the balance laws for electron density and
current density coupled to the Poisson equation for the electrostatic potential. The limit of …