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Matematicheskoe modelirovanie, 2005, Volume 17, Number 8, Pages 106–110 (Mi mm2786)  

This article is cited in 16 scientific papers (total in 16 papers)

The 2-nd low of thermodynamics for chemical kinetics

Ya. G. Batishcheva, V. V. Vedenyapin

M. V. Keldysh Institute for Applied Mathematics, Russian Academy of Sciences
References:
Abstract: The general kinetic equations for chemical reactions are under consideration. For these equations the classification was made, decreasing functionals and convergence to the steady state were investigated.
Bibliographic databases:
Language: Russian
Citation: Ya. G. Batishcheva, V. V. Vedenyapin, “The 2-nd low of thermodynamics for chemical kinetics”, Mat. Model., 17:8 (2005), 106–110
Citation in format AMSBIB
\Bibitem{BatVed05}
\by Ya.~G.~Batishcheva, V.~V.~Vedenyapin
\paper The 2-nd low of thermodynamics for chemical kinetics
\jour Mat. Model.
\yr 2005
\vol 17
\issue 8
\pages 106--110
\mathnet{http://mi.mathnet.ru/mm2786}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2189399}
\zmath{https://zbmath.org/?q=an:1089.80503}
Linking options:
  • https://www.mathnet.ru/eng/mm2786
  • https://www.mathnet.ru/eng/mm/v17/i8/p106
  • This publication is cited in the following 16 articles:
    1. S. Z. Adzhiev, Ya. G. Batishcheva, V. V. Vedenyapin, Yu. A. Volkov, V. V. Kazantseva, I. V. Melikhov, M. A. Negmatov, Yu. N. Orlov, N. N. Fimin, V. M. Chechetkin, “S.K. Godunov and kinetic theory at the Keldysh Institute of Applied Mathematics of the Russian Academy of Sciences”, Comput. Math. Math. Phys., 60:4 (2020), 610–614  mathnet  crossref  crossref  isi  elib
    2. Ya. G. Batischeva, “Kineticheskie uravneniya i podkhody k ikh analizu v novoi modeli protsessov agregatsii-drobleniya”, Preprinty IPM im. M. V. Keldysha, 2019, 036, 19 pp.  mathnet  crossref  elib
    3. A. Gasnikov, P. Dvurechensky, M. Zhukovskii, S. Kim, S. Plaunov, D. Smirnov, F. Noskov, “About the power law of the PageRank vector distribution. Part 2. Backley–Osthus model, power law verification for this model and setup of real search engines”, Num. Anal. Appl., 11:1 (2018), 16–32  mathnet  crossref  crossref  isi  elib
    4. V. V. Vedenyapin, S. Z. Adzhiev, V. V. Kazantseva, “Entropiya po Boltsmanu i Puankare, ekstremali Boltsmana i metod Gamiltona–Yakobi v negamiltonovoi situatsii”, Differentsialnye i funktsionalno-differentsialnye uravneniya, SMFN, 64, no. 1, Rossiiskii universitet druzhby narodov, M., 2018, 37–59  mathnet  crossref
    5. 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”, Comput. Math. Math. Phys., 58:9 (2018), 1462–1476  mathnet  crossref  crossref  isi  elib
    6. A. Gasnikov, E. Gasnikova, P. Dvurechensky, A. Mohammed, E. Chernousova, “About the power law of the PageRank vector distribution. Part 1. Numerical methods for finding the PageRank vector”, Num. Anal. Appl., 10:4 (2017), 299–312  mathnet  crossref  crossref  isi  elib
    7. Adzhiev S.Z., Melikhov I.V., Vedenyapin V.V., “The H-Theorem For the Physico-Chemical Kinetic Equations With Explicit Time Discretization”, Physica A, 481 (2017), 60–69  crossref  mathscinet  isi  scopus
    8. Adzhiev S.Z., Melikhov I.V., Vedenyapin V.V., “The H-Theorem For the Physico-Chemical Kinetic Equations With Discrete Time and For Their Generalizations”, Physica A, 480 (2017), 39–50  crossref  mathscinet  isi  scopus
    9. Adzhiev S., Melikhov I., Vedenyapin V., “The H-Theorem For the Chemical Kinetic Equations With Discrete Time and For Their Generalizations”, V International Conference on Problems of Mathematical and Theoretical Physics and Mathematical Modelling, Journal of Physics Conference Series, 788, IOP Publishing Ltd, 2017, UNSP 012001  crossref  isi  scopus
    10. S. Z. Adzhiev, V. V. Vedenyapin, Yu. A. Volkov, I. V. Melikhov, “Generalized Boltzmann-type equations for aggregation in gases”, Comput. Math. Math. Phys., 57:12 (2017), 2017–2029  mathnet  crossref  crossref  isi  elib
    11. A. V. Gasnikov, E. V. Gasnikova, M. A. Mendel, K. V. Chepurchenko, “Evolyutsionnye vyvody entropiinoi modeli rascheta matritsy korrespondentsii”, Matem. modelirovanie, 28:4 (2016), 111–124  mathnet  elib
    12. Pirogov S., Rybko A., Kalinina A., Gelfand M., “Recombination Processes and Nonlinear Markov Chains”, J. Comput. Biol., 23:9 (2016), 711–717  crossref  mathscinet  isi  elib  scopus
    13. V. V. Vedenyapin, S. Z. Adzhiev, “Entropy in the sense of Boltzmann and Poincaré”, Russian Math. Surveys, 69:6 (2014), 995–1029  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    14. A. V. Gasnikov, E. V. Gasnikova, “On Entropy-Type Functionals Arising in Stochastic Chemical Kinetics Related to the Concentration of the Invariant Measure and Playing the Role of Lyapunov Functions in the Dynamics of Quasiaverages”, Math. Notes, 94:6 (2013), 854–861  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    15. S. Z. Adzhiev, V. V. Vedenyapin, “Time averages and Boltzmann extremals for Markov chains, discrete Liouville equations, and the Kac circular model”, Comput. Math. Math. Phys., 51:11 (2011), 1942–1952  mathnet  crossref  mathscinet  isi
    16. V. A. Malyshev, S. A. Pirogov, “Reversibility and irreversibility in stochastic chemical kinetics”, Russian Math. Surveys, 63:1 (2008), 1–34  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
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