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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Last modified: Fri May 12 20:13:15 MET DST 2000