Kinetic and Related Models (KRM)

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

Pages: 295 - 312, Volume 1, Issue 2, June 2008      doi:10.3934/krm.2008.1.295

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Marzia Bisi - Dipartimento di Matematica, Università di Parma, Italy (email)
Maria Paola Cassinari - Dipartimento di Matematica, Università di Milano, via Saldini 50, 20133 Milano, Italy (email)
Maria Groppi - Dipartimento di Matematica, Università di Parma, V.le G.P. Usberti 53/A, 43100 Parma, Italy (email)

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.

Received: March 2008;      Revised: March 2008;      Available Online: May 2008.