caa a22 4500 445849932 CHVBK 20180317145410.0 cr unu---uuuuu 170323e20111201xx s 000 0 eng 10.1134/S0040579511050277 doi (NATIONALLICENCE)springer-10.1134/S0040579511050277 Moshinskii A. St. Petersburg State Chemical Pharmaceutical Academy, St. Petersburg, Russia aut Limiting kinetic equation for describing a first-order chemical reaction with spatially nonuniform diffusion and kinetic coefficients [Elektronische Daten] [A. Moshinskii] A spatially nonuniform system in which a first-order chemical reaction occurs is considered. Both the diffusion coefficient and the kinetic coefficient of the reaction are assumed to be dependent on spatial coordinates. An asymptotically valid method is proposed for reducing a diffusion equation (under the described conditions) in the presence of a source (a reaction) to a simple kinetic equation containing a constant kinetic coefficient. A functional is derived that makes it possible to use variational methods for determining the kinetic coefficient. Pleiades Publishing, Ltd., 2011 Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/6(2011-12-01), 868-875 0040-5795 45:6<868 2011 45 11236 https://doi.org/10.1134/S0040579511050277 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1134/S0040579511050277 text/html Onlinezugriff via DOI NATIONALLICENCE 100 1- Moshinskii A. St. Petersburg State Chemical Pharmaceutical Academy, St. Petersburg, Russia aut NATIONALLICENCE 773 0- Theoretical Foundations of Chemical Engineering SP MAIK Nauka/Interperiodica 45/6(2011-12-01), 868-875 0040-5795 45:6<868 2011 45 11236 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer