Weak solutions to a hydrodynamic model for semiconductors and relaxation to the drift-diffusion equation |
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| Authors: | Pierangelo Marcati Roberto Natalini |
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| Institution: | (1) Dipartimento di Mathematica Pura e Applicata, Università degli Studi dell'Aquila, I-67100 L'Aquila, Italia;(2) Istituto per le Applicazioni del Calcolo  M. Picone , Viale del Policlinico 137, I-00161 Roma, Italia |
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| Abstract: | We investigate the relaxation problem for the hydrodynamic isentropic Euler-Poisson system when the momentum relaxation time tends to zero. Very sharp estimates on the solutions, independent of the relaxation time, are obtained and used to establish compactness. |
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