Unique representation of an inverse-kinetic theory for incompressible Newtonian fluids

M. Tessarotto and M. Ellero

Physica A: Statistical Mechanics and its Applications, 2007, vol. 373, issue C, 142-152

Abstract: Fundamental aspects of inverse-kinetic theories for the incompressible Navier–Stokes equations [M. Tessarotto, M. Ellero, RGD24, Italy, July 10–16, 2004, AIP Conf. Proc. 762 (2005) 108; M. Ellero, M. Tessarotto, Physica A 355 (2005) 233] include the possibility of defining uniquely the kinetic equation underlying such models and, furthermore, the construction of a kinetic theory implying also the energy equation. The latter condition is consistent with the requirement that fluid fields result classical solutions of the fluid equations. These issues appear of potential relevance both from the mathematical viewpoint and for the physical interpretation of the theory. Purpose of this work is to prove that under suitable prescriptions the inverse-kinetic theory can be determined to satisfy such requirements.

Keywords: Incompressible Navier–Stokes equations; Kinetic theory; Fokker–Planck equation (search for similar items in EconPapers)
Date: 2007
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:373:y:2007:i:c:p:142-152

DOI: 10.1016/j.physa.2006.04.124

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