Application of Fatou’s Lemma for Strong Homogenization of Attractors to Reaction–Diffusion Systems with Rapidly Oscillating Coefficients in Orthotropic Media with Periodic Obstacles

Application of Fatou’s Lemma for Strong Homogenization of Attractors to Reaction–Diffusion Systems with Rapidly Oscillating Coefficients in Orthotropic Media with Periodic Obstacles

We study reaction–diffusion systems with rapidly oscillating terms in the coefficients of equations and in the boundary conditions, in media with periodic obstacles. The non-linear terms of the equations only satisfy general dissipation conditions. We construct trajectory attractors for such systems...

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Bibliographic Details
Main Authors: Kuanysh A. Bekmaganbetov, Gregory A. Chechkin, Vladimir V. Chepyzhov
Format: Article
Language:English
Published: MDPI AG 2023-03-01
Series:Mathematics
Subjects:
trajectory attractors
homogenization
reaction–diffusion systems
non-linear equations
strong convergence
Online Access:https://www.mdpi.com/2227-7390/11/6/1448

Internet

https://www.mdpi.com/2227-7390/11/6/1448

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