{"title":"Attractors and a “strange term” in homogenized equation","authors":"K. Bekmaganbetov, G. Chechkin, V. Chepyzhov","doi":"10.5802/crmeca.1","DOIUrl":null,"url":null,"abstract":"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. Résumé. Nous étudions le comportement des attracteurs de l’équation de réaction–diffusion dans le domaine perforé car le petit paramètre caractérisant la perforation tend vers zéro.","PeriodicalId":50997,"journal":{"name":"Comptes Rendus Mecanique","volume":"27 1","pages":"351-359"},"PeriodicalIF":1.0000,"publicationDate":"2020-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"5","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus Mecanique","FirstCategoryId":"5","ListUrlMain":"https://doi.org/10.5802/crmeca.1","RegionNum":4,"RegionCategory":"工程技术","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MECHANICS","Score":null,"Total":0}
引用次数: 5
Abstract
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. Résumé. Nous étudions le comportement des attracteurs de l’équation de réaction–diffusion dans le domaine perforé car le petit paramètre caractérisant la perforation tend vers zéro.
(We the behavior of attractors of the study in a反应—传播方程perforated domain as the small参数characterizing the穿孔山野to zero。摘要。我们研究了反应扩散方程吸引子在穿孔区域的行为,因为表征穿孔的小参数趋向于零。
期刊介绍:
The Comptes rendus - Mécanique cover all fields of the discipline: Logic, Combinatorics, Number Theory, Group Theory, Mathematical Analysis, (Partial) Differential Equations, Geometry, Topology, Dynamical systems, Mathematical Physics, Mathematical Problems in Mechanics, Signal Theory, Mathematical Economics, …
The journal publishes original and high-quality research articles. These can be in either in English or in French, with an abstract in both languages. An abridged version of the main text in the second language may also be included.