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Zh. Vychisl. Mat. Mat. Fiz., 2018, Volume 58, Number 9, Pages 1517–1530 (Mi zvmmf10786)  

This article is cited in 2 scientific papers (total in 2 papers)

$H$-theorem for continuous- and discrete-time chemical kinetic systems and a system of nucleosynthesis equations

S. Z. Adzhieva, V. V. Vedenyapinbc, S. S. Filippovb

a Faculty of Mechanics and Mathematics, Moscow State University, Moscow, Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, Russia
c RUDN University, Moscow, Russia

Abstract: An $H$-theorem is proved for generalizations of continuous- and discrete-time chemical kinetic equations. A mathematical model of heavy nuclei formation based on neutron capture in astrophysical conditions is constructed. The model describes both rapid and slow processes with allowance for radiative capture and photodetachment of neutrons and $\beta$-decay. An $H$-theorem for this model is proved.

Key words: $H$-theorem, chemical kinetic equations, nucleosynthesis.

Funding Agency Grant Number
Ministry of Education and Science of the Russian Federation
Russian Academy of Sciences - Federal Agency for Scientific Organizations 1.3.1


DOI: https://doi.org/10.31857/S004446690002530-4

References: PDF file   HTML file

English version:
Computational Mathematics and Mathematical Physics, 2018, 58:9, 1462–1476

Bibliographic databases:

UDC: 517.635
Received: 17.08.2017
Revised: 05.02.2018

Citation: S. Z. Adzhiev, V. V. Vedenyapin, S. S. Filippov, “$H$-theorem for continuous- and discrete-time chemical kinetic systems and a system of nucleosynthesis equations”, Zh. Vychisl. Mat. Mat. Fiz., 58:9 (2018), 1517–1530; Comput. Math. Math. Phys., 58:9 (2018), 1462–1476

Citation in format AMSBIB
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    Citing articles on Google Scholar: Russian citations, English citations
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    This publication is cited in the following articles:
    1. V. V. Vedenyapin, I. S. Pershin, “Vlasov–Maxwell–Einstein equation and Einstein lambda”, Preprinty IPM im. M. V. Keldysha, 2019, 039, 17 pp.  mathnet  crossref
    2. S. A. Konev, “$B$-ryady dlya polnogo $(m,k)$-metoda”, Preprinty IPM im. M. V. Keldysha, 2020, 045, 29 pp.  mathnet  crossref
  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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