Publikation: Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
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1999
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Amster, Pablo
Beccar Varela, Maria Pia
Jüngel, Ansgar
Mariani, Maria Cristina
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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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AMSTER, Pablo, Maria Pia BECCAR VARELA, Ansgar JÜNGEL, Maria Cristina MARIANI, 1999. Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductorsBibTex
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year={1999},
title={Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors},
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<dcterms:abstract xml:lang="eng">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.</dcterms:abstract>
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