| Инд. авторы: | Meleshko S.V., Grigoriev Y.N., Karnbanjong A., Suriyawichitseranee A. |
| Заглавие: | Invariant solutions in explicit form of the Boltzmann equation with a source term |
| Библ. ссылка: | Meleshko S.V., Grigoriev Y.N., Karnbanjong A., Suriyawichitseranee A. Invariant solutions in explicit form of the Boltzmann equation with a source term // Journal of Physics: Conference Series. - 2017. - Vol.894. - Iss. 1. - Art.012063. - ISSN 1742-6588. - EISSN 1742-6596. |
| Внешние системы: | DOI: 10.1088/1742-6596/894/1/012063; РИНЦ: 31036752; SCOPUS: 2-s2.0-85033227638; WoS: 000437964500063; |
| Реферат: | eng: This paper is devoted to applications of the group analysis method to the Boltzmann equation with a source function. Exact solutions of the nonlinear kinetic Boltzmann equation with a source function in the case of an isotropic distribution function and Maxwell model of isotropic scattering were constructed. An equivalence Lie group is used for the construction. One of the transformations of the equivalence Lie group uniquely singles out a class of source functions which allows us to find invariant solutions of the Bobylev-Krook-Wu type in an explicit form. In particular, some of these solutions have a meaningful physical interpretation. |
| Ключевые слова: | Source functions; Physical interpretation; Nonlinear kinetics; Isotropic scattering; Isotropic distributions; Invariant solutions; Exact solution; Nonlinear equations; Maxwell equations; Lie groups; Hydrodynamics; Functions; Fluid dynamics; Equivalence classes; Distribution functions; Continuum mechanics; Equivalence lie groups; Boltzmann equation; |
| Издано: | 2017 |
| Физ. характеристика: | 012063 |
| Конференция: | Название: All-Russian Conference with International Participation on Modern Problems of Continuum Mechanics and Explosion Physics: Dedicated to the 60th Anniversary of Lavrentyev Institute of Hydrodynamics SB RAS Аббревиатура: MPCMEP 2017 Город: Novosibirsk Страна: Russia Даты проведения: 2017-09-04 - 2017-09-08 |
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