Hukalov O. Exact and approximate solutions of the Bryan-Pidduck Equation

Firstly the most general form of local Maxwellian distributions for the model of rough spheres is obtained. The detail classification of all possible types of motions corresponding to these distributions is given. The number of approximate bimodal solutions of the Boltzmann equation for rough spheres is built, which describe the interaction between several types of the local Maxwellian flows: the eddies and the "acceleration-packing", especially, with the spiral component. As the values characterizing the degree of deviation between the sides of the Bryan-Pidduck equation, the uniform-integral residual and its weighted modification and also the pure integral residual are used.