Group Properties of Equations of the Kinetic Theory of Coagulation
- 作者: Grigoriev Y.1, Meleshko S.2, Suriyawichitseranee A.2
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隶属关系:
- Institute of Computational Technologies, Siberian Branch
- School of Mathematics, Institute of Science
- 期: 卷 60, 编号 2 (2019)
- 页面: 350-364
- 栏目: Article
- URL: https://journals.rcsi.science/0021-8944/article/view/161504
- DOI: https://doi.org/10.1134/S0021894419020160
- ID: 161504
如何引用文章
详细
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.
作者简介
Yu. Grigoriev
Institute of Computational Technologies, Siberian Branch
编辑信件的主要联系方式.
Email: grigor@ict.nsc.ru
俄罗斯联邦, Novosibirsk, 630090
S. Meleshko
School of Mathematics, Institute of Science
编辑信件的主要联系方式.
Email: amornratjulie@gmail.com
泰国, Nakhon Ratchasima, 30000
A. Suriyawichitseranee
School of Mathematics, Institute of Science
编辑信件的主要联系方式.
Email: sergey@math.sut.ac.th
泰国, Nakhon Ratchasima, 30000