Attractors and a “strange term” in homogenized equation
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.
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| Format: | Article |
| Language: | English |
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Académie des sciences
2020-11-01
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| Series: | Comptes Rendus. Mécanique |
| Subjects: | |
| Online Access: | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.1/ |
| _version_ | 1827785272271568896 |
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| author | Bekmaganbetov, Kuanysh A. Chechkin, Gregory A. Chepyzhov, Vladimir V. |
| author_facet | Bekmaganbetov, Kuanysh A. Chechkin, Gregory A. Chepyzhov, Vladimir V. |
| author_sort | Bekmaganbetov, Kuanysh A. |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-03-11T16:16:49Z |
| format | Article |
| id | doaj.art-f943e0992b3b45099467cc84b5f1af4e |
| institution | Directory Open Access Journal |
| issn | 1873-7234 |
| language | English |
| last_indexed | 2024-03-11T16:16:49Z |
| publishDate | 2020-11-01 |
| publisher | Académie des sciences |
| record_format | Article |
| series | Comptes Rendus. Mécanique |
| spelling | doaj.art-f943e0992b3b45099467cc84b5f1af4e2023-10-24T14:20:42ZengAcadémie des sciencesComptes Rendus. Mécanique1873-72342020-11-01348535135910.5802/crmeca.110.5802/crmeca.1Attractors and a “strange term” in homogenized equationBekmaganbetov, Kuanysh A.0Chechkin, Gregory A.1Chepyzhov, Vladimir V.2Institute 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, KazakhstanInstitute 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, RussiaInstitute for Information Transmission Problems, Russian Academy of Sciences, Bolshoy Karetniy 19, Moscow 127994, Russia; National Research University Higher School of Economics, Moscow 101000, RussiaWe study the behavior of attractors of the reaction–diffusion equation in a perforated domain as the small parameter characterizing the perforation tends to zero.https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.1/HomogenizationAttractorsReaction–diffusion equationBoundary value problemPerforated domain |
| spellingShingle | Bekmaganbetov, Kuanysh A. Chechkin, Gregory A. Chepyzhov, Vladimir V. Attractors and a “strange term” in homogenized equation Comptes Rendus. Mécanique Homogenization Attractors Reaction–diffusion equation Boundary value problem Perforated domain |
| title | Attractors and a “strange term” in homogenized equation |
| title_full | Attractors and a “strange term” in homogenized equation |
| title_fullStr | Attractors and a “strange term” in homogenized equation |
| title_full_unstemmed | Attractors and a “strange term” in homogenized equation |
| title_short | Attractors and a “strange term” in homogenized equation |
| title_sort | attractors and a strange term in homogenized equation |
| topic | Homogenization Attractors Reaction–diffusion equation Boundary value problem Perforated domain |
| url | https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.1/ |
| work_keys_str_mv | AT bekmaganbetovkuanysha attractorsandastrangeterminhomogenizedequation AT chechkingregorya attractorsandastrangeterminhomogenizedequation AT chepyzhovvladimirv attractorsandastrangeterminhomogenizedequation |