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Stability and instability of steady-state solutions for a hydrodynamic model of semiconductors

Published online by Cambridge University Press:  14 November 2011

Harumi Hattori
Harumi Hattori
Affiliation:
Department of Mathematics, West Virginia University, Morgantown, WV 26506, U.S.A
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Abstract

We discuss the stability and instability of steady-state solutions for a hydrodynamic model of semiconductors. We study the case where the doping profile is close to a positive constant and depends on the special variable x. We shall show that a given steady-state solution is asymptotically stable or unstable, depending on whether or not the density of the initial data satisfies P = 0, where P is defined in (3.12).

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 127 , Issue 4 , 1997 , pp. 781 - 796
Copyright
Copyright © Royal Society of Edinburgh 1997

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