{"title":"Existence of time-dependent attractor of wave equation in locally uniform space","authors":"Xudong Luo, Qiaozhen Ma","doi":"10.1177/10812865231219199","DOIUrl":null,"url":null,"abstract":"In this article, we study non-autonomous dynamical behavior of weakly damped wave equation in unbounded domain. First of all, we introduce the time-dependent locally uniform space. After that, the pullback asymptotical compactness is proved by applying the contractive function method. Eventually, we obtain the existence of [Formula: see text]-time-dependent attractor of wave equation.","PeriodicalId":502792,"journal":{"name":"Mathematics and Mechanics of Solids","volume":"6 5","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-01-24","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Mathematics and Mechanics of Solids","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1177/10812865231219199","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
In this article, we study non-autonomous dynamical behavior of weakly damped wave equation in unbounded domain. First of all, we introduce the time-dependent locally uniform space. After that, the pullback asymptotical compactness is proved by applying the contractive function method. Eventually, we obtain the existence of [Formula: see text]-time-dependent attractor of wave equation.