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Prikladnaya Mekhanika i Tekhnicheskaya Fizika, 2019, Volume 60, Issue 2, Pages 190–206
DOI: https://doi.org/10.15372/PMTF20190216 (Mi pmtf470) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Group properties of equations of the kinetic theory of coagulation

Yu. N. Grigor'eva, S. V. Meleshkob, A. Suriyawichitseraneeb

a Institute of Computational Technologies, Siberian Branch, Russian Academy of Sciences, Novosibirsk, 630090, Russia
b Suranaree University of Technology, Nakhon Ratchasima, 30000, Thailand
Full-text PDF (273 kB) Citations (1)
DOI: https://doi.org/10.15372/PMTF20190216
Abstract: Nonlocal equations of the coagulation theory are studied by methods of group analysis. In addition to the integrodifferential 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. Admissible Lie groups for the considered equations are found, their relationships are studied, and the corresponding invariant solutions are analyzed.
Keywords: Smoluchowski equation, Laplace transform, power moments, group analysis, invariant solutions.
Funding agency Grant number
Russian Foundation for Basic Research 17-01-00209а
Received: 28.09.2018
Revised: 28.09.2018
Accepted: 29.10.2018
English version:
Journal of Applied Mechanics and Technical Physics, 2019, Volume 60, Issue 2, Pages 350–364
DOI: https://doi.org/10.1134/S0021894419020160
Bibliographic databases:
Document Type: Article
UDC: 517.9
Language: Russian
Citation: Yu. N. Grigor'ev, S. V. Meleshko, A. Suriyawichitseranee, “Group properties of equations of the kinetic theory of coagulation”, Prikl. Mekh. Tekh. Fiz., 60:2 (2019), 190–206; J. Appl. Mech. Tech. Phys., 60:2 (2019), 350–364
Citation in format AMSBIB
\Bibitem{GriMelSur19}
\by Yu.~N.~Grigor'ev, S.~V.~Meleshko, A.~Suriyawichitseranee
\paper Group properties of equations of the kinetic theory of coagulation
\jour Prikl. Mekh. Tekh. Fiz.
\yr 2019
\vol 60
\issue 2
\pages 190--206
\mathnet{http://mi.mathnet.ru/pmtf470}
\crossref{https://doi.org/10.15372/PMTF20190216}
\elib{https://elibrary.ru/item.asp?id=37248721}
\transl
\jour J. Appl. Mech. Tech. Phys.
\yr 2019
\vol 60
\issue 2
\pages 350--364
\crossref{https://doi.org/10.1134/S0021894419020160}
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  • https://www.mathnet.ru/eng/pmtf/v60/i2/p190
    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Prikladnaya Mekhanika i Tekhnicheskaya Fizika Prikladnaya Mekhanika i Tekhnicheskaya Fizika
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