{"title":"有延迟的二维不可压缩纳维-斯托克斯方程的回拉吸引力的鲁棒性","authors":"Keqin SU null, Xinguang Yang","doi":"10.4208/jpde.v37.n1.2","DOIUrl":null,"url":null,"abstract":". This paper is concerned with the pullback dynamics and robustness for the 2D incompressible Navier-Stokes equations with delay on the convective term in bounded domain. Under appropriate assumption on the delay term, we establish the existence of pullback attractors for the fluid flow model, which is dependent on the past state. Inspired by the idea in Zelati and Gal’s paper (JMFM, 2015), the robustness of pullback attractors has been proved via upper semi-continuity in last section","PeriodicalId":43504,"journal":{"name":"Journal of Partial Differential Equations","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2024-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay\",\"authors\":\"Keqin SU null, Xinguang Yang\",\"doi\":\"10.4208/jpde.v37.n1.2\",\"DOIUrl\":null,\"url\":null,\"abstract\":\". This paper is concerned with the pullback dynamics and robustness for the 2D incompressible Navier-Stokes equations with delay on the convective term in bounded domain. Under appropriate assumption on the delay term, we establish the existence of pullback attractors for the fluid flow model, which is dependent on the past state. Inspired by the idea in Zelati and Gal’s paper (JMFM, 2015), the robustness of pullback attractors has been proved via upper semi-continuity in last section\",\"PeriodicalId\":43504,\"journal\":{\"name\":\"Journal of Partial Differential Equations\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.3000,\"publicationDate\":\"2024-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Partial Differential Equations\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.4208/jpde.v37.n1.2\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q4\",\"JCRName\":\"MATHEMATICS, APPLIED\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Partial Differential Equations","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.4208/jpde.v37.n1.2","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS, APPLIED","Score":null,"Total":0}
引用次数: 0
摘要
.本文关注有界域中对流项有延迟的二维不可压缩纳维-斯托克斯方程的回拉动力学和鲁棒性。在延迟项的适当假设下，我们建立了流体流动模型的回拉吸引子的存在性，它取决于过去的状态。受 Zelati 和 Gal 论文（JMFM，2015 年）的启发，上一节通过上半连续性证明了回拉吸引子的稳健性
Robustness of Pullback Attractors for 2D Incompressible Navier-Stokes Equations with Delay
. This paper is concerned with the pullback dynamics and robustness for the 2D incompressible Navier-Stokes equations with delay on the convective term in bounded domain. Under appropriate assumption on the delay term, we establish the existence of pullback attractors for the fluid flow model, which is dependent on the past state. Inspired by the idea in Zelati and Gal’s paper (JMFM, 2015), the robustness of pullback attractors has been proved via upper semi-continuity in last section
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