Subsonic solutions to a one-dimensional non-isentropic hydrodynamic model for semiconductors
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: | , , , |
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| Formato: | Artículo publishedVersion |
| Publicado: |
2001
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| 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 |
| Aporte de: |
| Sumario: | 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. |
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