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Theoretical and Mathematical Physics
General properties of collision integral kernels of the nonlinear Boltzmann equation
Ë. À. Bakaleynikov, E. Yu. Flegontova, È. A. Tropp Ioffe Institute, St. Petersburg
Abstract:
We consider general properties of kernels of the inverse collision integral, as well as kernels of integral operators appearing in the expansion of the collision integral in spherical harmonics. The recurrent relations between kernels obtained earlier are generalized to the case of interaction of particles with different masses. It is shown that the obtained properties ensure additive invariance of the number of particles, energy, and momentum.
Received: 22.02.2019 Revised: 22.02.2019 Accepted: 05.03.2019
Citation:
Ë. À. Bakaleynikov, E. Yu. Flegontova, È. A. Tropp, “General properties of collision integral kernels of the nonlinear Boltzmann equation”, Zhurnal Tekhnicheskoi Fiziki, 89:10 (2019), 1482–1490; Tech. Phys., 64:10 (2019), 1400–1408
Linking options:
https://www.mathnet.ru/eng/jtf5483 https://www.mathnet.ru/eng/jtf/v89/i10/p1482
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Abstract page: | 32 | Full-text PDF : | 10 |
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