An H-theorem for incompressible fluids

Details An H-theorem for incompressible fluids An H-theorem for incompressible fluids

2006-02-20

arxiv.org/abs/physics/0602128v1

Physics

Fluid Dynamics

Scientific paper

A basic aspect of the kinetic descriptions of incompressible fluids based on an inverse kinetic approaches is the possibility of satisfying an H-theorem. This property is in fact related to the identification of the kinetic distribution function with a probability density in an appropriate phase space. Goal of this investigation is to analyze the conditions of validity of an H-theorem for the inverse kinetic theory recently proposed by Ellero and Tessarotto [2004, 2005]. It is found that the time-dependent contribution to the kinetic pressure, characteristic of such a kinetic model, can always be uniquely defined in such a way to warrant the constancy of the entropy.

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