Physics – Fluid Dynamics
Scientific paper
2006-11-12
Physics
Fluid Dynamics
Communication presented at the 25th International Symposium on Rarefied Gas Dynamics, St. Petersburg, Russia, July 21-28, 2006
Scientific paper
Fundamental aspects of inverse kinetic theories for incompressible Navier-Stokes equations concern 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. In this paper we intend to prove that the non-uniqueness feature can be resolved by imposing suitable assumptions. These include, in particular, the requirement that the kinetic equation be equivalent, in a suitable sense, to a Fokker-Planck kinetic equation. Its Fokker-Planck coefficients are proven to be uniquely determined by means of appropriate prescriptions. In addition, as a further result, it is proven that the inverse kinetic equation satisfies both an entropy principle and the energy equation for the fluid fields.
Ellero Marco
Tessarotto Massimo
No associations
LandOfFree
On the uniqueness of continuous inverse kinetic theory for incompressible fluids does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with On the uniqueness of continuous inverse kinetic theory for incompressible fluids, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the uniqueness of continuous inverse kinetic theory for incompressible fluids will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-729681