𝔖 Bobbio Scriptorium
✦   LIBER   ✦

The Cauchy–Neumann problem for a multi-dimensional isentropic hydrodynamic model for semiconductors

✍ Scribed by Yeping Li

Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
167 KB
Volume
28
Category
Article
ISSN
0170-4214

No coin nor oath required. For personal study only.

✦ Synopsis

Abstract

We investigate a multi‐dimensional isentropic hydrodynamic (Euler–Poisson) model for semiconductors, where the energy equation is replaced by the pressure–density relation p(n) . We establish the global existence of smooth solutions for the Cauchy–Neumann problem with small perturbed initial data and homogeneous Neumann boundary conditions. We show that, as t→+∞, the solutions converge to the non‐constant stationary solutions of the corresponding drift–diffusion equations. Moreover, we also investigate the existence and uniqueness of the stationary solutions for the corresponding drift–diffusion equations. Copyright © 2005 John Wiley & Sons, Ltd.

📜 SIMILAR VOLUMES

Subsonic Solutions to a One-Dimensional
Subsonic Solutions to a One-Dimensional Non-isentropic Hydrodynamic Model for Semiconductors
✍ P. Amster; M.P. Beccar Varela; A. Jüngel; M.C. Mariani 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 91 KB

The one-dimensional stationary full hydrodynamic model for semiconductor devices with non-isentropic pressure is studied. This model consists of the equations for the electron density, electron temperature, and electric field in a bounded domain supplemented with boundary conditions. The existence o

The initial value problem for a multi-di
The initial value problem for a multi-dimensional radiation hydrodynamics model with viscosity
✍ Wenjun Wang; Feng Xie 📂 Article 📅 2010 🏛 John Wiley and Sons 🌐 English ⚖ 245 KB

In this paper, we study the existence and time-asymptotic behavior of solutions to the Cauchy problem for the equations of radiation hydrodynamics with viscosity in R 3 . The global existence of the solutions is obtained by using the energy method. With more elaborate energy estimates, we also give

The asymptotic behaviour of global smoot
The asymptotic behaviour of global smooth solutions to the multi-dimensional hydrodynamic model for semiconductors
✍ Ling Hsiao; Qiangchang Ju; Shu Wang 📂 Article 📅 2003 🏛 John Wiley and Sons 🌐 English ⚖ 194 KB

## Abstract We establish the global existence of smooth solutions to the Cauchy problem for the multi‐dimensional hydrodynamic model for semiconductors, provided that the initial data are perturbations of a given stationary solutions, and prove that the resulting evolutionary solution converges asy

A PARALLEL IMPLEMENTATION OF A TWO-DIMEN
A PARALLEL IMPLEMENTATION OF A TWO-DIMENSIONAL HYDRODYNAMIC MODEL FOR MICROWAVE SEMICONDUCTOR DEVICE INCLUDING INERTIA EFFECTS IN MOMENTUM RELAXATION
✍ MOHAMAD A. ALSUNAIDI; SAMIR M. HAMMADI; SAMIR M. EL-GHAZALY 📂 Article 📅 1997 🏛 John Wiley and Sons 🌐 English ⚖ 241 KB 👁 2 views

A self-consistent numerical transport model based on the hydrodynamic equations obtained from Boltzmann's transport equation (BTE) is presented. The model includes both the temporal and spatial variation in electron velocity. A parallel implementation of the solution method, using FDTD techniques, i