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.

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Hailiang Li, <>
Peter Markowich, <>
Ming Mei, <>
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<> May 12 2000.

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