This article is cited in 4 papers

Construction of kernels $G^l_{l,0}$ of the nonlinear collision integral in the Boltzmann equation for arbitrary $l$

A. I. Ender^ab, I. A. Ender^ab, Л. А. Bakaleynikov^ab, E. Yu. Flegontova<sup>ab

a</sup> Ioffe Institute, St. Petersburg
^b Saint Petersburg State University

Abstract: It was shown in [1] that kernels $L_l(v,v_1)$ of linear collision integral and kernels $G^l_{l,0}(v, v_1, v_2)$ of nonlinear collision integral are related by the Laplace transform. Here, analytical expressions are derived for nonlinear kernels $G^{+l}_{l,0}(v, v_1, v_2)$ with arbitrary $l$ for models of hard spheres and pseudo-Maxwellian molecules using the Laplace transform method.

Received: 11.01.2012

 English version: Technical Physics Letters, 2012, 38:8, 706–710

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