A steady state potential flow model for semiconductors
Article
Received:
- 129 Downloads
- 52 Citations
Summary
We present a three-dimensional steady state irrotational flow model for semiconductors which is based on the hydrodynamic equations. We prove existence and local uniqueness of smooth solutions under a smallness assumptions on the data. This assumption implies subsonic flow of electrons in the semiconductors device.
Keywords
Steady State Flow Model Smooth Solution Semiconductor Device Potential Flow
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
Preview
Unable to display preview. Download preview PDF.
References
- [1]P. A. Markowich -C. Ringhofer -C. Schmeiser,Semiconductor Equations, Springer, Wien, New York (1990).Google Scholar
- [2]K.Blotekjaer,Transport Equations for Electrons in Two-Valley Semiconductors, IEEE Trans., Electron Devices, ED-17 (1970), pp. 38–47.Google Scholar
- [3]P. A. Markowich,The Steady State Semiconductor Device Equations, Springer, Wien, New York (1986).Google Scholar
- [4]S. Selberherr,Analysis and Simulation of Semiconductor Devices, Springer, Wien, New York (1984).Google Scholar
- [5]D. Gilbarg -N. S. Trudinger,Elliptic Partial Differential Equations of Second Order, 2nd edition, Springer, Berlin, New York (1984).Google Scholar
- [6]R. Courant -K. O. Friedrichs,Supersonic Flow and Shock Waves, Interscience, J. Wiley and Sons, New York (1967).Google Scholar
- [7]P.Degond - P. A.Markowich,On a steady state hydrodynamic model for semiconductors, to appear in Appl. Math. Lett. (1989).Google Scholar
- [8]P. Degond -P. A. Raviart,An analysis of the Darwin model of approximation to Maxwell's equations, Rapport interne, Centre de Mathématiques Appliquées, Ecole Polytechnique, Palaiseau (France) (1990).Google Scholar
- [9]R. Glowinski,Numerical Methods for Nonlinear Variational Problems, Springer-Verlag, New York (1984).Google Scholar
Copyright information
© Fondazione Annali di Matematica Pura ed Applicata 1993