Article information

2003 , Volume 8, ¹ 3, p.7-22

Blokhin A.M., Bushmanov R.S., Romano V.

Asymptotic stability of the equilibrium state for the macroscopic balance equations of charge transport in semiconductors

Asymptotic stability by Lyapunov of the equilibrium state for the balance equations of charge transport in semiconductors based on the maximum entropy principle is proved for a typical one dimensional problem.

[full text] Classificator Msc2000:
*35B35 Stability, boundedness
35B40 Asymptotic behavior of solutions
35Q60 Equations of electromagnetic theory and optics
78A35 Motion of charged particles
82D37 Semiconductors

Keywords: energy balance equation, Poisson equation, hydrodynamic model, entropy maximum principle

Author(s):
Blokhin Alexander Mikhailovich
Dr. , Professor
Position: Head of Laboratory
Office: Institute of Mathematics SB RAS
Address: 630090, Russia, Novosibirsk, Ac. Koptyug ave, 4
Phone Office: (383) 329 76 75
E-mail: blokhin@math.nsc.ru

Bushmanov Roman Sergeevich
Office: Novosibirsk State University
Address: Russia, Novosibirsk, Novosibirsk, Ac. Koptyug ave, 4

Romano V.
Office: Politecnico di Bari, sede di Taranto
Address: 74100, Italy, Taranto, V. le del Turismo 8


Bibliography link:
Blokhin A.M., Bushmanov R.S., Romano V. Asymptotic stability of the equilibrium state for the macroscopic balance equations of charge transport in semiconductors // Computational technologies. 2003. V. 8. ¹ 3. P. 7-22
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