Mathematical problems in chemical kinetics.
The thirteen papers in this collection, all in Russian, include the following:\ Section I. Macro- and microscopic equations in chemical kinetics:\ I. V. Karlin, Relaxation of the rate of a chemical reaction in gas mixtures (pp. 7-42, 334); V. I. Verbitskij and A. N. Gorban, Thermodynamic constraints and conditions for being quasithermodynamic in chemical kinetics (pp. 42-83, 334). NEWLINENEWLINENEWLINESection II. A qualitative and numerical study of equations in chemical kinetics:\ V. M. Goldshtein and V. A. Sobolev, A method for an approximate qualitative study of models in chemical kinetics and combustion (pp. 84-108, 334); V. M. Goldshtein, V. A. Sobolev and G. S. Yablonskij, Relaxation oscillations in chemical kinetics (pp. 108-124, 334); V. I. Bykov, A. M. Kytmanov, M. Z. Lazman and G. S. Yablonskij, A kinetic polynomial for a single-route \(n\)-stage catalytic reaction (pp.\ 125-148, 335); E. P. Volokitin and S. A. Treskov, Qualitative analysis of a mathematical model for the reaction of catalytic oxidation (pp. 149-175, 335); V. M. Goldshtein, L. I. Kononenko, M. Z. Lazman, V. A. Sobolev and G. S. Yablonskij, Qualitative analysis of dynamic properties of a catalytic isothermal reactor of an ideal mixture (pp. 176-204, 335); V. I. Bykov and T. P. Pushkareva, Bifurcations in the simplest models of chemical oscillations in the kinetic domain (pp. 204-215, 335); V. I. Bykov and B. S. Dobronets, On interval analysis of equations in chemical kinetics (pp. 226-232, 336). NEWLINENEWLINENEWLINESection III. Theoretical analysis and modeling of surface reactions:\ V. A. Bir and G. S. Yablonskij, Island processes on the surface of a catalyzer. Description of the kinetics of adsorption-desorption from the perspective of the theory of topochemical reactions (pp. 233-287, 336); I. A. Zolotarskij and V. A. Toponogov, The effectiveness of nonstationary control for a class of catalytic reactions (pp. 319-331, 336). NEWLINENEWLINENEWLINEThe articles of this volume will be reviewed individually.NEWLINENEWLINEIndexed articles:NEWLINENEWLINE\textit{Karlin, I. V.}, Relaxation of the rate of a chemical reaction in gas mixtures, 7-42 [Zbl 0967.80505]NEWLINENEWLINE\textit{Verbitskij, V. I.; Gorban', A. N.}, Thermodynamic constraints and conditions for being quasithermodynamic in chemical kinetics, 42-83 [Zbl 0967.80503]NEWLINENEWLINE\textit{Gol'dshtejn, V. M.; Sobolev, V. A.}, A method for an approximate qualitative study of models in chemical kinetics and combustion, 84-108 [Zbl 0967.80502]NEWLINENEWLINE\textit{Gol'dshtejn, V. M.; Sobolev, V. A.; Yablonskij, G. S.}, Relaxation oscillations in chemical kinetics, 108-124 [Zbl 0967.37504]NEWLINENEWLINE\textit{Bykov, V. I.; Kytmanov, A. M.; Lazman, M. Z.; Yablonskij, G. S.}, A kinetic polynomial for a single-route \(n\)-stage catalytic reaction, 125-148 [Zbl 0967.80501]NEWLINENEWLINE\textit{Gol'dshtejn, V. M.; Kononenko, L. I.; Lazman, M. Z.; Sobolev, V. A.; Yablonskij, G. S.}, Qualitative analysis of dynamic properties of a catalytic isothermal reactor of an ideal mixture, 176-204 [Zbl 0967.80504]NEWLINENEWLINE\textit{Bykov, V. I.; Pushkareva, T. P.}, Bifurcations in the simplest models of chemical oscillations in the kinetic domain, 204-215 [Zbl 0967.37503]NEWLINENEWLINE\textit{Bykov, V. I.; Dobronets, B. S.}, On interval analysis of equations in chemical kinetics, 226-232 [Zbl 0967.65501]NEWLINENEWLINE\textit{Bir, V. A.; Yablonskij, G. S.}, Island processes on the surface of a catalyzer. Description of the kinetics of adsorption-desorption from the perspective of the theory of topochemical reactions, 233-287 [Zbl 0967.92501]NEWLINENEWLINE\textit{Zolotarskij, I. A.; Toponogov, V. A.}, The effectiveness of nonstationary control for a class of catalytic reactions, 319-331 [Zbl 0967.92502]
scientific article; zbMATH DE number 1634456