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Zh. Vychisl. Mat. Mat. Fiz., 2014, Volume 54, Number 6, Pages 988–999 (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

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.

DOI: https://doi.org/10.7868/S0044466914060118

Full text: PDF file (412 kB)
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English version:
Computational Mathematics and Mathematical Physics, 2014, 54:6, 994–1004

Bibliographic databases:

UDC: 519.626
MSC: 35K58 (35B25 35K20)
Received: 28.05.2013
Revised: 30.10.2013

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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  • Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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