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Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



A phase analysis of transonic solutions for the hydrodynamic semiconductor model

Author: Massimiliano D. Rosini
Journal: Quart. Appl. Math. 63 (2005), 251-268
MSC (2000): Primary 82D37; Secondary 35B40, 35L67
Published electronically: February 23, 2005
MathSciNet review: 2150772
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Abstract: In the present paper we present a phase plane analysis of transonic solutions of the steady state one-dimensional unipolar hydrodynamic model for semiconductors, taking also into consider shocks.

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Additional Information

Massimiliano D. Rosini
Affiliation: Dipartimento di Matematica e Applicazioni “R. Caccioppoli”, Università di Napoli “Federico II”, Complesso Monte S. Angelo, Via Cintia, 80126 Napoli-Italy
Address at time of publication: Dipartimento di Matematica Pura ed Applicata, Università di L’Aquila, Via Vetoio, 67100 L’Aquila-Italy

Keywords: Transonic shock waves, stability, hydrodynamic models, semiconductors
Received by editor(s): April 1, 2003
Published electronically: February 23, 2005
Article copyright: © Copyright 2005 Brown University