Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors
Hailiang Li, Peter Markowich, Ming Mei
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Source: Crossref
Published: Apr 1, 2002
DOI: 10.1017/s0308210500001670
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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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