Qualitative analysis of the generalized Burnett equations and applications to half--space problems

Marzia Bisi; Maria Paola Cassinari; Maria Groppi

doi:10.3934/krm.2008.1.295

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2008, Volume 1, Issue 2: 295-312. Doi: 10.3934/krm.2008.1.295

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Qualitative analysis of the generalized Burnett equations and applications to half--space problems

1.
Dipartimento di Matematica, Università di Parma
2.
Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano
3.
Dipartimento di Matematica, Università di Parma, V.le G.P. Usberti 53/A, 43100 Parma

Received: March 2008

Revised: March 2008

Published: June 2008

Abstract / Introduction Related Papers Cited by

Abstract

The Generalized Burnett Equations, very recently introduced by Bobylev [3,4], are tested versus Fluid--Dynamic applications, considering the classical steady evaporation/condensation problem. By means of the methods of the qualitative theory of dynamical systems, comparison is made to other kinetic and hydrodynamic models, and indications on an appropriate choice of the disposable parameters are obtained.

Keywords:

Burnett equations; Hydrodynamics; Half-space Problems.

Mathematics Subject Classification: 76P05, 35Q35.

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