Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors

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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 o...

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Autores principales: Amster, P., Beccar Varela, M.P., Jüngel, A., Mariani, M.C.
Formato: Artículo publishedVersion
Publicado: 2001
Materias:
Full hydrodynamic equations; existence; uniqueness; positive solutions; non-isentropic pressure
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_0022247X_v258_n1_p52_Amster
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v258_n1_p52_Amster_oai
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Repositorio Digital de la Universidad de Buenos Aires (UBA) de Universidad de Buenos Aires
id I28-R145-paper_0022247X_v258_n1_p52_Amster_oai
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spelling I28-R145-paper_0022247X_v258_n1_p52_Amster_oai2024-08-16 Amster, P. Beccar Varela, M.P. Jüngel, A. Mariani, M.C. 2001 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. © 2001 Academic Press. Fil:Amster, P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Beccar Varela, M.P. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. Fil:Mariani, M.C. Universidad de Buenos Aires. Facultad de Ciencias Exactas y Naturales; Argentina. application/pdf http://hdl.handle.net/20.500.12110/paper_0022247X_v258_n1_p52_Amster info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar J. Math. Anal. Appl. 2001;258(1):52-62 Full hydrodynamic equations; existence; uniqueness; positive solutions; non-isentropic pressure Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors info:eu-repo/semantics/article info:ar-repo/semantics/artículo info:eu-repo/semantics/publishedVersion https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v258_n1_p52_Amster_oai
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-145
collection Repositorio Digital de la Universidad de Buenos Aires (UBA)
topic Full hydrodynamic equations; existence; uniqueness; positive solutions; non-isentropic pressure
spellingShingle Full hydrodynamic equations; existence; uniqueness; positive solutions; non-isentropic pressure
Amster, P.
Beccar Varela, M.P.
Jüngel, A.
Mariani, M.C.
Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
topic_facet Full hydrodynamic equations; existence; uniqueness; positive solutions; non-isentropic pressure
description 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. © 2001 Academic Press.
format Artículo
Artículo
publishedVersion
author Amster, P.
Beccar Varela, M.P.
Jüngel, A.
Mariani, M.C.
author_facet Amster, P.
Beccar Varela, M.P.
Jüngel, A.
Mariani, M.C.
author_sort Amster, P.
title Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
title_short Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
title_full Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
title_fullStr Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
title_full_unstemmed Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
title_sort subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
publishDate 2001
url http://hdl.handle.net/20.500.12110/paper_0022247X_v258_n1_p52_Amster
https://repositoriouba.sisbi.uba.ar/gsdl/cgi-bin/library.cgi?a=d&c=artiaex&d=paper_0022247X_v258_n1_p52_Amster_oai
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AT beccarvarelamp subsonicsolutionstoaonedimensionalnonisentropichydrodynamicmodelforsemiconductors
AT jungela subsonicsolutionstoaonedimensionalnonisentropichydrodynamicmodelforsemiconductors
AT marianimc subsonicsolutionstoaonedimensionalnonisentropichydrodynamicmodelforsemiconductors
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