Preprint 1996-039

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, mailto:tluo@Math08.math.ac.cn
Roberto Natalini, mailto:natalini@asterix.iac.rm.cnr.it
Zhouping Xin, mailto:xinz@math1.cims.nyu.edu
Submitted by:
mailto:natalini@asterix.iac.rm.cnr.it November 14 1996.


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