Boltzmann equation in the α, u representation

It is proposed, as in 1, 2], to regard the distribution function as a set of all possible Maxwellian distributions with arbitrary temperatures and mean velocities, with each Maxwelian distribution taken with its own weight (, u). An equation equivalent to the Boltzmann equation is constructed for this weight function. The cases of one-dimensional, twodimensional, operator in the arbitrary case in the , u representation it suffices to know the corresponding kernel for the one-dimensional problem.Leningrad. Traslated from Izvestiya Akademii Nauk SSSR, Mekhanika Zhidkosti i Gaza, No. 4, pp. 117–123, July–August, 1972.