New Explicit Approximate Solution of the Boltzmann Equation for the Hard-Spheres Model
摘要
We construct an approximate solution to the nonlinear kinetic Boltzmann equation in the case of a hardspheres model. It has the form of an infinite sum of certain Maxwellian modes with coefficient functions of the spatial coordinate and time. Sufficient conditions allowing us to make the analyzed deviations arbitrarily small are established for the coefficient functions and hydrodynamic parameters appearing in the distribution.