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

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June 2008, 1(2): 295-312. doi: 10.3934/krm.2008.1.295

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

Marzia Bisi ^1, , Maria Paola Cassinari ^2, and Maria Groppi ^3,

1.	Dipartimento di Matematica, Università di Parma, Italy
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 May 2008

Abstract
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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, 35Q3.

Citation: Marzia Bisi, Maria Paola Cassinari, Maria Groppi. Qualitative analysis of the generalized Burnett equations and applications to half--space problems. Kinetic & Related Models, 2008, 1 (2) : 295-312. doi: 10.3934/krm.2008.1.295

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