Some alternative methods for hydrodynamic closures to dissipative kinetic models
1 Dipartimento di Matematica, Università di Parma, Viale G.P. Usberti 53/A, 43124 Parma, Italia
2 ICREA (Institució Catalana de Recerca i Estudis Avançats) and Departament de Matemàtiques, Universitat Autònoma de Barcelona, 08193 Bellaterra, Spain
Two different strategies for deriving hydrodynamic equations for dissipative kinetic models are presented and discussed. The homogeneity scaling approach, not very well-known in the physical literature, is expanded and applied to different show-cases in several applications. Then, we show that this strategy may fail, as it occurs for a thermalized granular gas in a host medium, in which case the problem can be dealt with by resorting to classical moment closure methods.
© EDP Sciences, Springer-Verlag, 2010