Инд. авторы:	Suriyawichitseranee A., Grigoriev Yu.N., Meleshko S.V.
Заглавие:	Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term
Библ. ссылка:	Suriyawichitseranee A., Grigoriev Yu.N., Meleshko S.V. Group analysis of the Fourier transform of the spatially homogeneous and isotropic Boltzmann equation with a source term // Communications in Nonlinear Science and Numerical Simulation. - 2015. - Vol.20. - Iss. 3. - P.719-730. - ISSN 1007-5704. - EISSN 1878-7274.
Внешние системы:	DOI: 10.1016/j.cnsns.2014.06.047; РИНЦ: 23956816; SCOPUS: 2-s2.0-84908655660; WoS: 000341358200011;
Реферат:	eng: The paper is devoted to group analysis of the spatially homogeneous and isotropic Boltzmann equation with a source term. In fact, the Fourier transform of the Boltzmann equation with respect to the molecular velocity variable is considered. Using a particular class of solutions, the determining equation for the admitted Lie group is reduced to a partial differential equation for the source function. The latter equation is analyzed by an algebraic method. A complete group classification of the Fourier transform of the Boltzmann equation is given. All invariant solutions of this equation are also presented in the paper.
Издано:	2015
Физ. характеристика:	с.719-730