Quasi-neutral limit to steady-state hydrodynamic model of semiconductors with degenerate boundary
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 …
hydrodynamic model of semiconductors in the form of Euler–Poisson equations with …
The Maxwell–Boltzmann approximation for ion kinetic modeling
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 …
electron density from kinetic models. First, under reasonable regularity assumption, we …
Uniformly Global Smooth Solutions and Convergence of Euler--Poisson Systems with Small Parameters
YJ Peng - SIAM Journal on Mathematical Analysis, 2015 - SIAM
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 …
unmagnetized plasmas and semiconductors. For initial data close to constant equilibrium …
Parabolic-elliptic Keller-Segel's system
V Lemarié - arXiv preprint arXiv:2307.05981, 2023 - arxiv.org
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 Poisson equation when the damping coefficient tends towards infinity. We first prove a …
Initial layers and zero-relaxation limits of Euler–Maxwell equations
ML Hajjej, YJ Peng - Journal of Differential Equations, 2012 - Elsevier
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 …
Maxwell systems. For well-prepared initial data, we propose an approximate solution based …
Relaxation Time Limits of Subsonic Steady States for Multidimensional Hydrodynamic Model of Semiconductors
YH Feng, H Hu, M Mei, G Tsogtgerel, G Zhang - SIAM Journal on …, 2024 - SIAM
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 …
hydrodynamic model of semiconductors in the form of Euler–Poisson equations with sonic or …
Quasi-neutral limit of the full bipolar Euler-Poisson system
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 …
is considered in the present paper. It is shown that for well-prepared initial data the smooth …
Relaxation Time Limits of Subsonic Steady States for Hydrodynamic Model of Semiconductors with Sonic or Nonsonic Boundary
YH Feng, H Hu, M Mei, YJ Peng, GJ Zhang - SIAM Journal on Mathematical …, 2024 - SIAM
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 …
model of semiconductors in the form of Euler–Poisson equations with sonic or nonsonic …
UNIFORM GLOBAL EXISTENCE AND CONVERGENCE OF EULER-MAXWELL SYSTEMS WITH SMALL PARAMETERS.
V Wasiolek - Communications on Pure & Applied Analysis, 2016 - search.ebscohost.com
Abstract The Euler-Maxwell system with small parameters arises in the modeling of
magnetized plasmas and semiconductors. For initial data close to constant equilibrium …
magnetized plasmas and semiconductors. For initial data close to constant equilibrium …
The zero-electron-mass limit in the Euler–Poisson system for both well-and ill-prepared initial data
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 …
current density coupled to the Poisson equation for the electrostatic potential. The limit of …