Strong convergence of attractors of reaction-diffusion system with rapidly oscillating

K. A. Bekmaganbetov ; V. V. Chepyzhov ; G. A. Chechkin

Izvestiya. Mathematics , Tome 86 (2022) no. 6, pp. 1072-1101.

Résumé

A system of reaction-diffusion equations in a perforated domain with rapidly oscillating terms in the equations and in the boundary conditions is considered. It is not assumed that the uniqueness theorem conditions are satisfied for the corresponding initial-boundary value problem. We have proved the strong convergence of the trajectory attractors of this system to the trajectory attractors of the homogenized reaction-diffusion system with a ‘strange term’ (potential).

Détail

Keywords: attractors, homogenization, reaction-diffusion systems, energy identity, nonlinear equations, weak convergence, strong convergence, perforated domain, rapidly oscillating terms
Mots-clés : strange term.

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