A. I. Ender, I. A. Ender, Л. А. Bakaleynikov, E. Yu. Flegontova, “Construction of kernels of the nonlinear collision integral in the Boltzmann equation using laplace transformation”, Zhurnal Tekhnicheskoi Fiziki, 2012, Volume 82, Issue 6,Pages <nobr>1

This article is cited in 5 papers

Theoretical and Mathematical Physics

Construction of kernels of the nonlinear collision integral in the Boltzmann equation using laplace transformation

A. I. Ender^a, I. A. Ender^b, Л. А. Bakaleynikov^a, E. Yu. Flegontova^a

^a Ioffe Institute, St. Petersburg
^b Saint Petersburg State University

Abstract: It is shown that the relation between kernels $L_l(v,v_1)$ of the linear collision integral and kernels $G^l_{l,0}(v,v_1,v_2)$ of the nonlinear collision integral can be reduced to the Laplace transformation. Analytic expressions for nonlinear kernels $G^{+0}_{0,0}(v,v_1,v_2)$ and $G^{+1}_{1,0}(v,v_1,v_2)$ are determined for hard spheres and pseudo-Maxwellian molecules.

Received: 07.09.2011