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, PIERANGELO;
1996-01-01
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.File in questo prodotto:
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