ISSN 0869-6632 (Print)
ISSN 2542-1905 (Online)

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Kuznetsov S. P. Absolute and convective instabilities and pattern formation in a model of distributed reaction - diffusion system with flow. Izvestiya VUZ. Applied Nonlinear Dynamics, 1999, vol. 7, iss. 4, pp. 3-20. DOI: 10.18500/0869-6632-1999-7-4-3-20

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Language: 
Russian
Heading: 
Autowaves. Self-organization
Article type: 
Article
UDC: 
517.9
DOI: 
10.18500/0869-6632-1999-7-4-3-20

Absolute and convective instabilities and pattern formation in a model of distributed reaction - diffusion system with flow

Autors: 
Kuznetsov Sergey Petrovich, Saratov Branch of Kotel`nikov Institute of Radiophysics and Electronics of Russian Academy of Sciences
Abstract: 

One-dimensional model of chemical reaction-diffusion system is considered with a uniform flow of the mixture of the reaction components. Transitions from convective to absolute instability of Hopf and Turing type are studied, which take place under a change of the flow rate. Connection between character of the instabilities and process of patiern formation is discussed. A possibility of «chemical Cherenkov effect» is noted, that is excitation of standing wave structure while non-equilibrium constant concentrations are pumped at the input of the reactor. Behavior of the system near threshold of the absolute instability under influence of fluctuations and possibility of noise-induced absolute in-stability is shortly discussed.

Key words: 
-
Acknowledgments: 
This work was supported by the RFBR (grant № 97-02-16414) and the Ministry of Education of the Russian Federation (grant № 97-0-8.3-88). Part of the work was done during the author's stay at the Danish Technical University, and I take this opportunity to express my gratitude for the invitation, help, and support of Prof. Erik Mosekilde.
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Received: 
28.06.1999
Accepted: 
11.08.1999
Published: 
01.10.1999
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