Construction of kernels G l, 0 l of the nonlinear collision integral in the Boltzmann equation for arbitrary l

Abstract

It was shown in [1] that kernels Ll(v, v1) of linear collision integral and kernels Gl, 0l(v, v1, v2) of nonlinear collision integral are related by the Laplace transform. Here, analytical expressions are derived for nonlinear kernels Gl, 0+l(v, v1, v2) with arbitrary l for models of hard spheres and pseudo-Maxwellian molecules using the Laplace transform method.