On smoothness of a slow surface in a mathematical model of the catalytic reactor of ideal intermixing (Q2714007)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On smoothness of a slow surface in a mathematical model of the catalytic reactor of ideal intermixing |
scientific article; zbMATH DE number 1603265
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On smoothness of a slow surface in a mathematical model of the catalytic reactor of ideal intermixing |
scientific article; zbMATH DE number 1603265 |
Statements
10 June 2001
0 references
chemical kinetics
0 references
catalytic reactor
0 references
mathematical modeling
0 references
singularly perturbed system
0 references
method of integral manifolds
0 references
On smoothness of a slow surface in a mathematical model of the catalytic reactor of ideal intermixing (English)
0 references
The aim of the article is to study certain topological properties of the integral manifolds generated by the singular perturbed system of nonlinear ordinary differential equations which arise in mathematical modeling of the catalytic reactor of ideal intermixing. The mathematical model was suggested by \textit{V.~M.~Goldshtein, L.~I.~Kononenko, M.~Z.~Lazman, V.~A.~Sobolev,} and \textit{G.~S.~Yablonskij} [Mathematical problems of chemical kinetics, Nauka, Novosibirsk, 176-204 (1989)]. In detail, the smoothness of slow integral manifolds of zero order of approximation is analyzed and some properties of the so-called cusp catastrophe is discussed.
0 references
