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Subsonic Solutions to a One-Dimensional Non-isentropic Hydrodynamic Model for Semiconductors

✍ Scribed by P. Amster; M.P. Beccar Varela; A. Jüngel; M.C. Mariani

Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
91 KB
Volume
258
Category
Article
ISSN
0022-247X

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✦ Synopsis

The one-dimensional stationary full hydrodynamic model for semiconductor devices with non-isentropic pressure is studied. This model consists of the equations for the electron density, electron temperature, and electric field in a bounded domain supplemented with boundary conditions. The existence of a classical subsonic solution with positive particle density and positive temperature is shown in two situations: non-constant and constant heat conductivities. Moreover, we prove uniqueness of a classical solution in the latter case. The existence proofs are based on elliptic estimates, Stampacchia truncation methods, and fixed-point arguments.

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