In this paper, the authors establish a connection between a unipolar hydrodynamic isentropic Euler-Poisson system and the (unipolar) drift-diffusion equations for semiconductors and prove that the scaled sequence of a weak solution to the Euler-Poisson system converges to the solution of the drift-diffusion model as the current relaxation time tends to zero.

On the hydrodynamic model for semiconductors and the relaxation to the drift-diffusion equation

Marcati P;
1996

Abstract

In this paper, the authors establish a connection between a unipolar hydrodynamic isentropic Euler-Poisson system and the (unipolar) drift-diffusion equations for semiconductors and prove that the scaled sequence of a weak solution to the Euler-Poisson system converges to the solution of the drift-diffusion model as the current relaxation time tends to zero.
981-02-2441-9
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.12571/3390
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