无界区域上非自治随机Brinkman-Forchheimer方程的随机吸引子

Communications on Pure & Applied Analysis Pub Date : 1900-01-01 DOI:10.3934/cpaa.2022034

Shu Wang, Mengmeng Si, Rong Yang

{"title":"无界区域上非自治随机Brinkman-Forchheimer方程的随机吸引子","authors":"Shu Wang, Mengmeng Si, Rong Yang","doi":"10.3934/cpaa.2022034","DOIUrl":null,"url":null,"abstract":"In this paper, we study the asymptotic behavior of the non-autono-mous stochastic 3D Brinkman-Forchheimer equations on unbounded domains. We first define a continuous non-autonomous cocycle for the stochastic equations, and then prove that the existence of tempered random attractors by Ball's idea of energy equations. Furthermore, we obtain that the tempered random attractors are periodic when the deterministic non-autonomous external term is periodic in time.","PeriodicalId":435074,"journal":{"name":"Communications on Pure & Applied Analysis","volume":"8 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"1900-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"4","resultStr":"{\"title\":\"Random attractors for non-autonomous stochastic Brinkman-Forchheimer equations on unbounded domains\",\"authors\":\"Shu Wang, Mengmeng Si, Rong Yang\",\"doi\":\"10.3934/cpaa.2022034\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper, we study the asymptotic behavior of the non-autono-mous stochastic 3D Brinkman-Forchheimer equations on unbounded domains. We first define a continuous non-autonomous cocycle for the stochastic equations, and then prove that the existence of tempered random attractors by Ball's idea of energy equations. Furthermore, we obtain that the tempered random attractors are periodic when the deterministic non-autonomous external term is periodic in time.\",\"PeriodicalId\":435074,\"journal\":{\"name\":\"Communications on Pure & Applied Analysis\",\"volume\":\"8 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1900-01-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"4\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Communications on Pure & Applied Analysis\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.3934/cpaa.2022034\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Communications on Pure & Applied Analysis","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.3934/cpaa.2022034","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 4

摘要

本文研究了非自治随机三维Brinkman-Forchheimer方程在无界域上的渐近行为。首先定义了随机方程的连续非自治循环，然后利用能量方程的Ball思想证明了随机吸引子的存在性。进一步，当确定性非自治外部项在时间上具有周期性时，我们得到了缓和随机吸引子是周期性的。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

查看原文本刊更多论文

Random attractors for non-autonomous stochastic Brinkman-Forchheimer equations on unbounded domains

In this paper, we study the asymptotic behavior of the non-autono-mous stochastic 3D Brinkman-Forchheimer equations on unbounded domains. We first define a continuous non-autonomous cocycle for the stochastic equations, and then prove that the existence of tempered random attractors by Ball's idea of energy equations. Furthermore, we obtain that the tempered random attractors are periodic when the deterministic non-autonomous external term is periodic in time.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

来源期刊

Communications on Pure & Applied Analysis

自引率

0.00%

发文量