Exact Solutions of the Boltzmann Equations with a Source
- Авторы: Grigor’ev Y.1,2, Meleshko S.3, Suriyawichitseranee A.3
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Учреждения:
- Institute of Computational Technologies, Siberian Branch
- Novosibirsk State University
- School of Mathematics, Institute of Science
- Выпуск: Том 59, № 2 (2018)
- Страницы: 189-196
- Раздел: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/160977
- DOI: https://doi.org/10.1134/S0021894418020013
- ID: 160977
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Аннотация
Exact solutions of a nonlinear Boltzmann kinetic equation with a source are constructed in the case of an isotropic distribution function and Maxwell model of isotropic scattering. These solutions are constructed with the use of an equivalence group such that one of its transformations uniquely identifies the class of the source functions that are linear in terms of the distribution function; moreover, the transformed equation has a zero right side. As a result, invariant solutions of the type of the Bobylev–Krook–Wu solutions can be explicitly found, in particular, those that admit physical interpretation.
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Об авторах
Yu. Grigor’ev
Institute of Computational Technologies, Siberian Branch; Novosibirsk State University
Автор, ответственный за переписку.
Email: grigor@ict.nsc.ru
Россия, Novosibirsk, 630090; Novosibirsk, 630090
S. Meleshko
School of Mathematics, Institute of Science
Email: grigor@ict.nsc.ru
Таиланд, Nakhon Ratchasima, 30000
A. Suriyawichitseranee
School of Mathematics, Institute of Science
Email: grigor@ict.nsc.ru
Таиланд, Nakhon Ratchasima, 30000