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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2022, Volume 62, Number 3, Pages 462–477
DOI: https://doi.org/10.31857/S0044466922030048 (Mi zvmmf11375) 		 
Mathematical physics

Cauchy problem for a new aggregation–fragmentation model in the case of equal reaction rate constants

Ya. G. Batishcheva

Federal Research Center Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, 125047, Moscow, Russia
DOI: https://doi.org/10.31857/S0044466922030048
Abstract: The existence and uniqueness of a solution to the Cauchy problem for a new aggregation–fragmentation model in the case of equal reaction rate constants are proved. The eigenstates of the right-hand side operator that correspond to real eigenvalues are studied, and an evolution operator is constructed.
Key words: aggregation–fragmentation process, kinetic equations, infinite-dimensional systems of ODEs, linear operator, evolution operator, Cauchy problem.
Received: 07.06.2021
Revised: 15.08.2021
Accepted: 17.11.2021
English version:
Computational Mathematics and Mathematical Physics, 2022, Volume 62, Issue 3, Pages 452–466
DOI: https://doi.org/10.1134/S0965542522030046
Bibliographic databases:
Document Type: Article
UDC: 517.95
Language: Russian
Citation: Ya. G. Batishcheva, “Cauchy problem for a new aggregation–fragmentation model in the case of equal reaction rate constants”, Zh. Vychisl. Mat. Mat. Fiz., 62:3 (2022), 462–477; Comput. Math. Math. Phys., 62:3 (2022), 452–466
Citation in format AMSBIB
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