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Convergence of diffusive BGK approximations for nonlinear strongly parabolic systems

Published online by Cambridge University Press:  12 July 2007

Corrado Lattanzio  and
Roberto Natalini
Corrado Lattanzio
Affiliation:
Dipartimento di Energetica–Sezione Metodi e Modelli Matematici, Universitá degli Studi di L'Aquila, I-67100 L'Aquila, Italy (corrado@univaq.it)
Roberto Natalini
Affiliation:
Istituto per le Applicazioni del Calcolo ‘Mauro Picone’, Viale del Policlinico, 137, I-00161 Roma, Italy (natalini@iac.rm.cnr.it)
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Abstract

We study a class of BGK approximations of parabolic systems in one space dimension. We prove stability and existence of global solutions for this model. Moreover, under certain conditions, we prove a rigorous result of convergence toward the formal limit, by using compensated compactness techniques.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 132 , Issue 2 , April 2002 , pp. 341 - 358
Copyright
Copyright © Royal Society of Edinburgh 2002

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