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Инд. авторы: Grigoriev Y.N., Meleshko S.V., Suriyawichitseranee A.
Заглавие: Group Properties of Equations of the Kinetic Theory of Coagulation
Библ. ссылка: Grigoriev Y.N., Meleshko S.V., Suriyawichitseranee A. Group Properties of Equations of the Kinetic Theory of Coagulation // Journal of Applied Mechanics and Technical Physics. - 2019. - Vol.60. - Iss. 2. - P.350-364. - ISSN 0021-8944. - EISSN 1573-8620.
Внешние системы: DOI: 10.1134/S0021894419020160; SCOPUS: 2-s2.0-85066470656; WoS: 000470672500016;
Реферат: eng: Nonlocal equations of the coagulation theory are studied by the group analysis methods. In addition to the integro-differential Smoluchowski equation, equivalent models are also considered, including the equation for the Laplace transform of the original equation, an infinite system of equations for the power moments of its solution, and the equation for the generating function of the power moments. Admitted Lie groups for the considered equations are found, their relationships are studied, and the corresponding invariant solutions are analyzed. © 2019, Pleiades Publishing, Ltd.
Ключевые слова: Power moments; Non-local equations; Invariant solutions; Group properties; Group analysis; Generating functions; Admitted Lie group; Group theory; Coagulation; Smoluchowski equation; power moments; Laplace transform; invariant solutions; group analysis; Laplace transforms; Smoluchowski equation;
Издано: 2019
Физ. характеристика: с.350-364