Preprint 1996-039

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

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.