Group Properties of Equations of the Kinetic Theory of Coagulation
- Авторлар: Grigoriev Y.1, Meleshko S.2, Suriyawichitseranee A.2
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Мекемелер:
- Institute of Computational Technologies, Siberian Branch
- School of Mathematics, Institute of Science
- Шығарылым: Том 60, № 2 (2019)
- Беттер: 350-364
- Бөлім: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/161504
- DOI: https://doi.org/10.1134/S0021894419020160
- ID: 161504
Дәйексөз келтіру
Аннотация
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.
Негізгі сөздер
Авторлар туралы
Yu. Grigoriev
Institute of Computational Technologies, Siberian Branch
Хат алмасуға жауапты Автор.
Email: grigor@ict.nsc.ru
Ресей, Novosibirsk, 630090
S. Meleshko
School of Mathematics, Institute of Science
Хат алмасуға жауапты Автор.
Email: amornratjulie@gmail.com
Таиланд, Nakhon Ratchasima, 30000
A. Suriyawichitseranee
School of Mathematics, Institute of Science
Хат алмасуға жауапты Автор.
Email: sergey@math.sut.ac.th
Таиланд, Nakhon Ratchasima, 30000