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Название: Solution to the Nonlinear Boltzmann Equation for Maxwell Models for Nonisotropic Initial Conditions
Авторы: Hendriks E.M., Nieuwenhuizen T.M.
The known solution to the spatially homogeneous nonlinear Boltzmann equation for Maxwell models in a series of Laguerre polynomials is extended to include nonisotropic initial conditions. Existence proofs for a class of solutions are supplied. The equations for the generalized (nonisotropic Laguerre) moments are derived in explicit form for two- and three-dimensional models. Further it is shown that the ordinary moments satisfy the same set of equations as the (Hermite) polynomial moments.