caa a22 4500 445850442 CHVBK 20180317145411.0 cr unu---uuuuu 170323e20110801xx s 000 0 eng 10.1134/S004057951104004X doi (NATIONALLICENCE)springer-10.1134/S004057951104004X Methods for refining the models of steady-state chemical kinetics on the basis of perturbation theory [Elektronische Daten] [V. Gorskii, M. Zeinalov, T. Shvetsova-Shilovskaya, Z. Gadzhibalaeva, U. Magometbekov] The relation between Tikhonov's theorem on the differential equations with a small parameter and the mathematical models of steady-state chemical kinetics is traced. A new algorithm for the construction of kinetic models with the use of the degrees of completeness of steps as the state variables is presented. Anomalous cases taking place in the formation of the subsystem of algebraic equations relative to the fast variables are considered, and procedures for refining the models of quasi-equilibrium and quasi-stationary approximations on the basis of perturbation theory are described. Pleiades Publishing, Ltd., 2011 Gorskii V. State Research Institute of Organic Chemistry and Technology, sh. Entuziastov 23, 111024, Moscow, Russia aut Zeinalov M. Dagestan State University, ul. Gadzhieva 43a, 367025, Makhachkala, Russia aut Shvetsova-Shilovskaya T. State Research Institute of Organic Chemistry and Technology, sh. Entuziastov 23, 111024, Moscow, Russia aut Gadzhibalaeva Z. Dagestan State University, ul. Gadzhieva 43a, 367025, Makhachkala, Russia aut Magometbekov U. Dagestan State University, ul. Gadzhieva 43a, 367025, Makhachkala, Russia aut Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/4(2011-08-01), 368-376 0040-5795 45:4<368 2011 45 11236 https://doi.org/10.1134/S004057951104004X text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S004057951104004X text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Gorskii V. State Research Institute of Organic Chemistry and Technology, sh. Entuziastov 23, 111024, Moscow, Russia aut NATIONALLICENCE 700 1- Zeinalov M. Dagestan State University, ul. Gadzhieva 43a, 367025, Makhachkala, Russia aut NATIONALLICENCE 700 1- Shvetsova-Shilovskaya T. State Research Institute of Organic Chemistry and Technology, sh. Entuziastov 23, 111024, Moscow, Russia aut NATIONALLICENCE 700 1- Gadzhibalaeva Z. Dagestan State University, ul. Gadzhieva 43a, 367025, Makhachkala, Russia aut NATIONALLICENCE 700 1- Magometbekov U. Dagestan State University, ul. Gadzhieva 43a, 367025, Makhachkala, Russia aut NATIONALLICENCE 773 0- Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/4(2011-08-01), 368-376 0040-5795 45:4<368 2011 45 11236 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer