Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors

Hailiang Li; Peter Markowich; Ming Mei

doi:10.1017/s0308210500001670

Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors

Hailiang Li^*, Peter Markowich, Ming Mei

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

83 Scopus citations

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.

Original language	English (US)
Pages (from-to)	359-378
Number of pages	20
Journal	Royal Society of Edinburgh - Proceedings A
Volume	132
Issue number	2
DOIs	https://doi.org/10.1017/s0308210500001670
State	Published - 2002
Externally published	Yes

ASJC Scopus subject areas

General Mathematics

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title = "Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors",

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.",

author = "Hailiang Li and Peter Markowich and Ming Mei",

year = "2002",

doi = "10.1017/s0308210500001670",

language = "English (US)",

volume = "132",

pages = "359--378",

journal = "Royal Society of Edinburgh - Proceedings A",

issn = "0308-2105",

publisher = "Cambridge University Press",

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TY - JOUR

T1 - Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors

AU - Li, Hailiang

AU - Markowich, Peter

AU - Mei, Ming

PY - 2002

Y1 - 2002

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=0036984263&partnerID=8YFLogxK

U2 - 10.1017/s0308210500001670

DO - 10.1017/s0308210500001670

M3 - Article

AN - SCOPUS:0036984263

SN - 0308-2105

VL - 132

SP - 359

EP - 378

JO - Royal Society of Edinburgh - Proceedings A

JF - Royal Society of Edinburgh - Proceedings A

IS - 2

ER -

Asymptotic behaviour of solutions of the hydrodynamic model of semiconductors

Abstract

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