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Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors

Published online by Cambridge University Press:  12 July 2007

Hailiang Li ,
Peter Markowich  and
Ming Mei
Hailiang Li
Affiliation:
SISSA, Via Beirut 2-4, Trieste 34014, Italy and Institute of Mathematics, Academia Sinica, Beijing 100080, People's Republic of China
Peter Markowich
Affiliation:
Institute of Mathematics, University of Vienna, Boltzmanngasse 9, 1090 Vienna, Austria
Ming Mei
Affiliation:
Institute of Applied Mathematics and Numerical Analysis, Vienna University of Technology, A-1040 Vienna, Austria
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Abstract

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.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 2 , April 2002 , pp. 359 - 378
Copyright
Copyright © Royal Society of Edinburgh 2002

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