Preprint 2000-019

Asymptotic Behavior of Solutions of the Hydrodynamic Model of Semiconductors

Hailiang Li, Peter Markowich, and Ming Mei


Abstract: Degond and Markowich [Appl. Math. Lett. 3(1990) 333-364] discussed the existence and uniqueness of steady-state solution in subsonic case for the one-dimensional hydrodynamic model of semiconductors. In the present paper, we reconsider the existence and uniqueness of subsonic steady-state solution, and prove its stability for small perturbation. The proof approach we adopt in this paper is the elementary energy method.


Paper:
Available as PostScript.
Author(s):
Hailiang Li, <lihl@sissa.it>
Peter Markowich, <Peter.Markowich@univie.ac.at>
Ming Mei, <mei@umbriel.tuwien.ac.at>
Publishing information:
Comments:
Submitted by:
<lihl@sissa.it> May 12 2000.


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