Construction of kernels of the nonlinear collision integral in the Boltzmann equation using laplace transformation |
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| Authors: | A. Ya. Ender I. A. Ender L. A. Bakaleinikov E. Yu. Flegontova |
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| Affiliation: | 1. Ioffe Physical Technical Institute, Russian Academy of Sciences, Politekhnicheskaya ul. 26, St. Petersburg, 194021, Russia
2. St. Petersburg State University, St. Petersburg, 198504, Russia
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| Abstract: | It is shown that the relation between kernels L l (v, v 1) of the linear collision integral and kernels G l,0 l (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 1,0 +1 (v, v 1, v 2) are determined for hard spheres and pseudo-Maxwellian molecules. |
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