BEGIN:VCALENDAR VERSION:2.0 PRODID:researchseminars.org CALSCALE:GREGORIAN X-WR-CALNAME:researchseminars.org BEGIN:VEVENT SUMMARY:Vladimir L. Saveliev (Fesenkov Astrophysical Institute\, Almaty\, Kazakhstan) DTSTART:20250403T110000Z DTEND:20250403T120000Z DTSTAMP:20260423T024017Z UID:mmandim/91 DESCRIPTION:Title: Kinetic equation of turbulence from the Boltzmann equation\nby Vladim ir L. Saveliev (Fesenkov Astrophysical Institute\, Almaty\, Kazakhstan) as part of Mathematical models and integration methods\n\n\nAbstract\nWe hav e shown how the kinetic equation for the velocity distribution function of an ensemble of turbulent velocities can be rigorously obtained from the B oltzmann kinetic equation with the classical collision integral. Compared to the Boltzmann equation on the left-hand side\, the resulting kinetic eq uation of turbulence contains ten additional terms. Also\, instead of the frequency of molecular collisions\, the collision integral in the kinetic equation of turbulence includes the collision frequency\, which is signifi cantly less than the frequency of molecular collisions. There are two key steps we have undertaken in obtaining the kinetic equation of turbulence. First\, we used the invariance of the collision integral of the Boltzmann equation with respect to the Gaussian transformations. Second\, we introdu ced the idea of fragmentation of turbulent flows into turbulent fluid quas iparticles. Each such quasiparticle is described by an equilibrium distrib ution of molecular velocities with fluctuating mean velocity. Also\, each quasiparticle is characterized by its size\, which is in the range of leng th scales larger than the mean free path of molecules and less than the ty pical length of spatial variation in the turbulence distribution function. \n\n[1] Phys. Fluids 36\, 125175 (2024)\; doi: 10.1063/5.0242731\n LOCATION:https://researchseminars.org/talk/mmandim/91/ END:VEVENT END:VCALENDAR