Geodesic
Domain effect on the behavior of solutions of a distributed kinetic system
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 6, pp. 988-999 
E. P. Kubyshkin. Domain effect on the behavior of solutions of a distributed kinetic system. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 54 (2014) no. 6, pp. 988-999. http://geodesic.mathdoc.fr/item/ZVMMF_2014_54_6_a9/
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     title = {Domain effect on the behavior of solutions of a distributed kinetic system},
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Voir la notice de l'article provenant de la source Math-Net.Ru

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.

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