Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors

Hailiang Li; Peter Markowich; Ming Mei

doi:10.1017/S0308210500001670

Abstract

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Degond and Markowich discussed the existence and uniqueness of a steady-state solution in the subsonic case for the one-dimensional hydrodynamic model of semiconductors. In the present paper, we reconsider the existence and uniqueness of a globally smooth subsonic steady-state solution, and prove its stability for small perturbation. The proof method we adopt in this paper is based on elementary energy estimates.

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This article has been cited by the following publications. This list is generated based on data provided by Crossref.

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Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors

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