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Weak solutions to a hydrodynamic model for semiconductors: the Cauchy problem

Published online by Cambridge University Press:  14 November 2011

Pierangelo Marcati  and
Roberto Natalini
Pierangelo Marcati
Affiliation:
Dipartimento di Matematica Pura e Applicata, Università degli Studi dell'Aquila, I-67100 L'Aquila, Italy
Roberto Natalini
Affiliation:
Istituto per le Applicazioni del Calcolo “M. Picone”, Viale del Policlinico 137, I-00161 Roma, Italy
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Abstract

We investigate the Cauchy problem for a hydrodynamic model for semiconductors. An existence theorem of global weak solutions with large initial data is obtained by using the fractional step Lax—Friedrichs scheme and Godounov scheme.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 125 , Issue 1 , 1995 , pp. 115 - 131
Copyright
Copyright © Royal Society of Edinburgh 1995

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