Artículo
Amster, P.; Beccar Varela, M.P.; Jüngel, A.; Mariani, M.C. "Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors" (2001) Journal of Mathematical Analysis and Applications. 258(1):52-62
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Abstract:
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.
Registro:
| Documento: | Artículo |
| Título: | Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors |
| Autor: | Amster, P.; Beccar Varela, M.P.; Jüngel, A.; Mariani, M.C. |
| Filiación: | Depto. de Matemática, FCEyN, Universidad de Buenos Aires, Pab I, 1428 Buenos Aires, Argentina Fak. für Math. und Informatik, Universität Konstanz, 78457 Konstanz, Germany |
| Palabras clave: | Full hydrodynamic equations; existence; uniqueness; positive solutions; non-isentropic pressure |
| Año: | 2001 |
| Volumen: | 258 |
| Número: | 1 |
| Página de inicio: | 52 |
| Página de fin: | 62 |
| DOI: | http://dx.doi.org/10.1006/jmaa.2000.7359 |
| Título revista: | Journal of Mathematical Analysis and Applications |
| Título revista abreviado: | J. Math. Anal. Appl. |
| ISSN: | 0022247X |
| PDF: | https://bibliotecadigital.exactas.uba.ar/download/paper/paper_0022247X_v258_n1_p52_Amster.pdf |
| Registro: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_0022247X_v258_n1_p52_Amster |
Referencias:
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Citas:
---------- APA ----------
Amster, P., Beccar Varela, M.P., Jüngel, A. & Mariani, M.C. (2001) . Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors. Journal of Mathematical Analysis and Applications, 258(1), 52-62.http://dx.doi.org/10.1006/jmaa.2000.7359
---------- CHICAGO ----------
Amster, P., Beccar Varela, M.P., Jüngel, A., Mariani, M.C. "Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors" . Journal of Mathematical Analysis and Applications 258, no. 1 (2001) : 52-62.http://dx.doi.org/10.1006/jmaa.2000.7359
---------- MLA ----------
Amster, P., Beccar Varela, M.P., Jüngel, A., Mariani, M.C. "Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors" . Journal of Mathematical Analysis and Applications, vol. 258, no. 1, 2001, pp. 52-62.http://dx.doi.org/10.1006/jmaa.2000.7359
---------- VANCOUVER ----------
Amster, P., Beccar Varela, M.P., Jüngel, A., Mariani, M.C. Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors. J. Math. Anal. Appl. 2001;258(1):52-62.http://dx.doi.org/10.1006/jmaa.2000.7359
