We consider smooth periodic solutions for the Euler–Maxwell equations, which are a
symmetrizable hyperbolic system of balance laws. We proved that as the relaxation time …

A numerical method for solving systems of nonlinear one-dimensional balance laws, based
on multivariate sigmoidal functions approximation, is developed. Constructive approximation …

In this paper, the global existence of smooth solutions for the three-dimensional bipolar
hydrodynamic model is studied when the initial data are close to a constant state. The L2 …

The main concern of the present paper is to analyze the behavior of a boundary layer, called
a sheath, which appears over a material in contact with a plasma. The well-known Bohm …

We consider Cauchy problems and periodic problems for two-fluid compressible Euler–
Maxwell equations arising in the modeling of magnetized plasmas. These equations are …

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 …

The limit of the 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 …

In this paper, we study the stationary flow for a one-dimensional isentropic bipolar Euler–
Poisson system (hydrodynamic model) for semiconductor devices. This model consists of …

The quasi-neutral limit of one-fluid Euler-Poisson systems leads to incompressible Euler
equations. It was widely studied in previous works. In this paper, we deal with the quasi …

This paper is concerned with the zero-relaxation limits for periodic smooth solutions of the
non-isentropic Euler–Maxwell system in a three-dimensional torus prescribing the well/ill …