NDLI: Mathematical modeling of spatial-temporal structures in a heterogeneous catalytic system

Content Provider	Springer Nature Link
Author	Kurkina, E. S. Semendyaeva, N. L.
Copyright Year	2012
Abstract	The article focuses on mathematical modeling of the spatial-temporal structures that appear in a heterogeneous catalytic reaction on the surface of a catalyst. A system of consistent mathematical models has been developed for a three-component reaction, describing self-organization phenomena on macro, meso, and micro levels. Qualitative analysis of the solutions of the ODE system (macro level) produces the existence regions of spatial-temporal structures of various types in distributed meso- and micro-level models. A point model is applied to predict the shape of traveling impulses and fronts; the switching direction in a bistable medium is determined analytically. Solutions constructed and investigated for a PDE multicomponent reaction-diffusion system describe trigger waves, single traveling impulses, phase and spiral waves. Spatial-temporal structures on the atomic level are investigated by the Monte Carlo method. Direct and inverse trigger waves are implemented, as well as single traveling impulses and spiral waves. The effect of internal fluctuations in the reaction system is investigated.
Starting Page	133
Ending Page	157
Page Count	25
File Format	PDF
ISSN	1046283X
Journal	Computational Mathematics and Modeling
Volume Number	23
Issue Number	2
e-ISSN	1573837X
Language	English
Publisher	Springer US
Publisher Date	2012-04-18
Publisher Place	Boston
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	mathematical modeling spatial-temporal structures reaction-diffusion systems bifurcation analysis master equations Monte-Carlo method heterogeneous catalysis Applications of Mathematics Optimization Mathematical Modeling and Industrial Mathematics Computational Mathematics and Numerical Analysis
Content Type	Text
Resource Type	Article
Subject	Computational Mathematics

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