### Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors

Tao Luo, Roberto Natalini, and Zhouping Xin

Abstract: We establish the global existence of smooth solutions to the Cauchy problem for the one-dimensional isentropic Euler-Poisson (or hydrodynamic) model for semiconductors for small initial data. In particular we show that, as $t\to\infty$, these solutions converge to the stationary solutions of the drift-diffusion equations. The existence and uniqueness of stationary solutions to the drift-diffusion equations is proved without the smallness assumption.

Paper:
Available as PostScript
Title:
Large Time Behavior of the Solutions to a Hydrodynamic Model for Semiconductors
Author(s):
Tao Luo, <tluo@Math08.math.ac.cn>
Roberto Natalini, <natalini@asterix.iac.rm.cnr.it>
Zhouping Xin, <xinz@math1.cims.nyu.edu>
Submitted by:
<natalini@asterix.iac.rm.cnr.it> November 14 1996.

[ 1996 Preprints | All Preprints | Preprint Server Homepage ]
© The copyright for the following documents lies with the authors. Copies of these documents made by electronic or mechanical means including information storage and retrieval systems, may only be employed for personal use.

Conservation Laws Preprint Server <conservation@math.ntnu.no>