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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2014, Volume 54, Number 6, Pages 988–999
DOI: https://doi.org/10.7868/S0044466914060118
(Mi zvmmf10051)
 

Domain effect on the behavior of solutions of a distributed kinetic system

E. P. Kubyshkin

Yaroslavl State University, ul. Sovetskaya 14, Yaroslavl, 150000, Russia
References:
Abstract: A distributed kinetic system that is in homogeneous equilibrium in a flat circular reactor is considered. Its behavior under deformations of the circular domain is studied. It is shown that a domain deformation may lead to the formation of stable spatially inhomogeneous oscillatory solutions in the neighborhood of the homogeneous equilibrium. The possibility of developing chaotic oscillations is discussed. This mechanism of creating spatially inhomogeneous nonlinear oscillations in the distributed kinetic system is called the domain effect.
Key words: distributed kinetic system, deformation of domain, nonlinear oscillations of distributed systems, spatially inhomogeneous oscillations.
Received: 28.05.2013
Revised: 30.10.2013
English version:
Computational Mathematics and Mathematical Physics, 2014, Volume 54, Issue 6, Pages 994–1004
DOI: https://doi.org/10.1134/S0965542514060116
Bibliographic databases:
Document Type: Article
UDC: 519.626
Language: Russian
Citation: E. P. Kubyshkin, “Domain effect on the behavior of solutions of a distributed kinetic system”, Zh. Vychisl. Mat. Mat. Fiz., 54:6 (2014), 988–999; Comput. Math. Math. Phys., 54:6 (2014), 994–1004
Citation in format AMSBIB
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