An H-theorem for incompressible fluids

2006/02/20 by Massimo Tessarotto, M. Tessarotto, Tessarotto, M. +3
Engineering · Mathematics · Physics and Astronomy · #Computational Fluid Dynamics and Aerodynamics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Lattice Boltzmann Simulation Studies #Navier-Stokes equation solutions #physics.flu-dyn

paper · pdf · doi:10.48550/arxiv.physics/0602128

arxiv created 2006/02/20 · openalex publication_date 2006/02/20 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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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