Stability of the equilibrium state for a hydrodynamical model of charge transport in semiconductors

Citation
Am. Blokhin et al., Stability of the equilibrium state for a hydrodynamical model of charge transport in semiconductors, Z ANG MATH, 52(3), 2001, pp. 476-499
Citations number
26
Categorie Soggetti
Mathematics
Journal title
ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN journal
00442275 → ACNP
Volume
52
Issue
3
Year of publication
2001
Pages
476 - 499
Database
ISI
SICI code
0044-2275(200105)52:3<476:SOTESF>2.0.ZU;2-X
Abstract
Lyapunov stability and, under a certain restriction on the doping density, asymptotic stability of the equilibrium state for the hydrodynamical model of charge transport in semiconductors based on Extended Thermodynamics [1, 2, 3] is proved in the linear approximation for a typical one dimensional p roblem.