Attractors and a “strange term” in homogenized equation

Bekmaganbetov, Kuanysh A.; Chechkin, Gregory A.; Chepyzhov, Vladimir V.

doi:10.5802/crmeca.1

Comptes Rendus. Mécanique (Nov 2020)

Attractors and a “strange term” in homogenized equation

Bekmaganbetov, Kuanysh A.,
Chechkin, Gregory A.,
Chepyzhov, Vladimir V.

Affiliations

Bekmaganbetov, Kuanysh A.: Institute of Mathematics and Mathematical Modeling, Pushkin st. 125, Almaty, 050010, Kazakhstan; M. V. Lomonosov Moscow State University, Kazakhstan Branch, Kazhymukan st. 11, Nur-Sultan, 010010, Kazakhstan
Chechkin, Gregory A.: Institute of Mathematics with Computing Center - Subdivision of the Ufa Federal Research Center of Russian Academy of Sciences, Chernyshevskogo st., 112, Ufa, 450008, Russia; M. V. Lomonosov Moscow State University, Leninskie Gory, 1, Moscow, 119991, Russia
Chepyzhov, Vladimir V.: Institute for Information Transmission Problems, Russian Academy of Sciences, Bolshoy Karetniy 19, Moscow 127994, Russia; National Research University Higher School of Economics, Moscow 101000, Russia

DOI: https://doi.org/10.5802/crmeca.1
Journal volume & issue: Vol. 348, no. 5
pp. 351 – 359

Abstract

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We study the behavior of attractors of the reaction–diffusion equation in a perforated domain as the small parameter characterizing the perforation tends to zero.

Published in Comptes Rendus. Mécanique

ISSN: 1631-0721 (Print); 1873-7234 (Online)
Publisher: Académie des sciences
Country of publisher: France
LCC subjects: Technology: Electrical engineering. Electronics. Nuclear engineering: Materials of engineering and construction. Mechanics of materials
Website: https://comptes-rendus.academie-sciences.fr/mecanique/

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