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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.
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
Linking options:
https://www.mathnet.ru/eng/zvmmf10051 https://www.mathnet.ru/eng/zvmmf/v54/i6/p988
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