STABILITY AND INSTABILITY OF STEADY-STATE SOLUTIONS FOR A HYDRODYNAMIC MODEL OF SEMICONDUCTORS

Authors
HATTORI H
Citation
H. Hattori, STABILITY AND INSTABILITY OF STEADY-STATE SOLUTIONS FOR A HYDRODYNAMIC MODEL OF SEMICONDUCTORS, Proceedings of the Royal Society of Edinburgh. Section A. Mathematics, 127, 1997, pp. 781-796
Citations number
10
Categorie Soggetti
Mathematics, General",Mathematics,Mathematics
Journal title
Proceedings of the Royal Society of Edinburgh. Section A. Mathematics → ACNP
ISSN journal
03082105
Volume
127
Year of publication
1997
Part
4
Pages
781 - 796
Database
ISI
SICI code
0308-2105(1997)127:<781:SAIOSS>2.0.ZU;2-C
Abstract
We discuss the stability and instability of steady-state solutions for a hydrodynamic model of semiconductors. We study the case where the d oping profile is close to a positive constant and depends on the speci al variable x. We shall show that a given steady-state solution is asy mptotically stable or unstable, depending on whether or not the densit y of the initial data satisfies P = 0, where P is defined in (3.12).