caa a22 4500 467948011 CHVBK 20180405193739.0 cr unu---uuuuu 170328e20050101xx s 000 0 eng 10.1007/PL00022158 doi (NATIONALLICENCE)springer-10.1007/PL00022158 (NATIONALLICENCE)springer-10.1007/s11236-005-0026-3 Mathematical modeling of unstable mass transfer complicated by chemical reactions [Elektronische Daten] [L. Kholpanov, L. Prokudina] A general nonlinear parabolic equation for the complex perturbation amplitude, which describes the diffusion complicated by chemical transformations, is derived by reduction of the diffusion equation with a nonlinear source written in the general form and also by reduction of the Brusselator model. For both cases, analytical solutions accurate to å 3 are found. It is shown that the results of the previous analysis of the numerical solution of the general nonlinear parabolic equation for a large class of unstable physical, hydrodynamic, physicochemical, and chemically reactive systems are applicable to studying the diffusion accompanied by chemical transformations. MAIK "Nauka/Interperiodica”, 2005 Kholpanov L. Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, 142432, Moscow oblast, Russia aut Prokudina L. South Ural State University, pr. Lenina 76, 454080, Chelyabinsk, Russia aut Theoretical Foundations of Chemical Engineering Nauka/Interperiodica 39/1(2005-01-01), 36-46 0040-5795 39:1<36 2005 39 11236 https://doi.org/10.1007/PL00022158 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/PL00022158 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Kholpanov L. Institute of Problems of Chemical Physics, Russian Academy of Sciences, Chernogolovka, 142432, Moscow oblast, Russia aut NATIONALLICENCE 700 1- Prokudina L. South Ural State University, pr. Lenina 76, 454080, Chelyabinsk, Russia aut NATIONALLICENCE 773 0- Theoretical Foundations of Chemical Engineering Nauka/Interperiodica 39/1(2005-01-01), 36-46 0040-5795 39:1<36 2005 39 11236 NATIONALLICENCE 856 40 https://doi.org/10.1007/s11236-005-0026-3 text/html Onlinezugriff via DOI Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer NATIONALLICENCE NATIONALLICENCE NL-springer