Group Properties of Equations of the Kinetic Theory of Coagulation
- Authors: Grigoriev Y.N.1, Meleshko S.V.2, Suriyawichitseranee A.2
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Affiliations:
- Institute of Computational Technologies, Siberian Branch
- School of Mathematics, Institute of Science
- Issue: Vol 60, No 2 (2019)
- Pages: 350-364
- Section: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/161504
- DOI: https://doi.org/10.1134/S0021894419020160
- ID: 161504
Cite item
Abstract
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.
About the authors
Yu. N. Grigoriev
Institute of Computational Technologies, Siberian Branch
Author for correspondence.
Email: grigor@ict.nsc.ru
Russian Federation, Novosibirsk, 630090
S. V. Meleshko
School of Mathematics, Institute of Science
Author for correspondence.
Email: amornratjulie@gmail.com
Thailand, Nakhon Ratchasima, 30000
A. Suriyawichitseranee
School of Mathematics, Institute of Science
Author for correspondence.
Email: sergey@math.sut.ac.th
Thailand, Nakhon Ratchasima, 30000