An existence and uniqueness result for the stationary energy-transport model in semiconductor theory;Un résultat d'existence et d'unicité pour le modèle d'énergie-transport stationnaire dans la théorie des semi-conducteurs

Comptes Rendus de l'Academie des Sciences - Series I: Mathematics

Volumn 324, Issue 8, 1997, Pages 867-872

  Degond, Pierre ^a   Génieys, Stéphane ^a   Jüngel, Ansgar ^b  

^a UNIVERSITÉ PAUL SABATIER   (France)

^b UNIVERSITY OF ROSTOCK   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0031115853     PISSN: 07644442     EISSN: None     Source Type: Journal    
DOI: 10.1016/S0764-4442(97)86960-1     Document Type: Article

References (11)

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3. [3] Apanavich Y., Lyumkis E., Polsky B., Shur A. and Blakey P., 1994. Steady-state and transient analysis of submicron devices using energy-balance and simplified hydrodynamic models. IEEE Trans. CAD of integ. circuits and systems, 13, pp. 702-711.
4. [4] Ben Abdallah N. and Degond P., 1995. On a hierarchy of macroscopic models for semiconductors. Journ. Math. Phys. (to appear).
5. [5] Degond P., Génieys S. and Jüngel A., 1996. A steady-state system in nonequilibrium thermodynamics including thermal and electrical effects. In preparation.
6. [6] Degond P., Génieys S., Jüngel A. and Qiu Y., 1996. Numerical schemes for the energy-transport model for semiconductors. In preparation.
7. [7] De Groot S., 1960. Thermodynamik irreversibler Prozesse. Bibliographisches Institut. Mannheim.
8. [8] Génieys S. Energy-Transport model for a non degenerate semiconductor. Convergence of the Hilbert expansion in the linearized case. Asympt. Anal. (to appear.)
9. Lp-estimat for solutions to mixed bounded value problems for second order elliptic differential equations. Math. Ann., 283, pp. 679-687.
10. [10] Marrocco A. and Montarnal P., 1996. Simulation de modèles "energy transport" à l'aide des éléments finis mixtes. C. R. Acad. Sci. Paris., (to appear).
11. [11] Souissi K. Odeh F., Tang H. and Gnudi A., 1994. Comparative studies of hydrodynamic and energy-transport models. Compel, 13, pp. 439-453.