具有非线性强阻尼项的高阶kirchhoff型方程的全局吸引子

现代非线性理论与应用(英文) Pub Date : 2016-11-10 DOI:10.4236/IJMNTA.2016.54019

Yuting Sun, Yunlong Gao, Guoguang Lin

{"title":"具有非线性强阻尼项的高阶kirchhoff型方程的全局吸引子","authors":"Yuting Sun, Yunlong Gao, Guoguang Lin","doi":"10.4236/IJMNTA.2016.54019","DOIUrl":null,"url":null,"abstract":"We investigate the global well-posedness and the global attractors of the solutions for the Higher-order Kirchhoff-type wave equation with nonlinear strongly damping: . For strong nonlinear \ndamping σ and ?, we make assumptions (H1) \n- (H4). Under of the proper assume, the main results are existence and uniqueness of the solution in proved by Galerkin method, and deal with the global attractors.","PeriodicalId":69680,"journal":{"name":"现代非线性理论与应用(英文)","volume":"05 1","pages":"203-217"},"PeriodicalIF":0.0000,"publicationDate":"2016-11-10","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":"{\"title\":\"The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term\",\"authors\":\"Yuting Sun, Yunlong Gao, Guoguang Lin\",\"doi\":\"10.4236/IJMNTA.2016.54019\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We investigate the global well-posedness and the global attractors of the solutions for the Higher-order Kirchhoff-type wave equation with nonlinear strongly damping: . For strong nonlinear \\ndamping σ and ?, we make assumptions (H1) \\n- (H4). Under of the proper assume, the main results are existence and uniqueness of the solution in proved by Galerkin method, and deal with the global attractors.\",\"PeriodicalId\":69680,\"journal\":{\"name\":\"现代非线性理论与应用(英文)\",\"volume\":\"05 1\",\"pages\":\"203-217\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2016-11-10\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"3\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"现代非线性理论与应用(英文)\",\"FirstCategoryId\":\"1093\",\"ListUrlMain\":\"https://doi.org/10.4236/IJMNTA.2016.54019\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"现代非线性理论与应用(英文)","FirstCategoryId":"1093","ListUrlMain":"https://doi.org/10.4236/IJMNTA.2016.54019","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 3

摘要

研究了一类具有非线性强阻尼的高阶kirchhoff型波动方程解的全局适定性和全局吸引子。对于强非线性阻尼σ和?，我们假设(H1) - (H4)。在适当的假设下，用伽辽金方法证明了解的存在唯一性，并处理了全局吸引子。

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

微信好友朋友圈 QQ好友复制链接

本刊更多论文

The Global Attractors for the Higher-Order Kirchhoff-Type Equation with Nonlinear Strongly Damped Term

We investigate the global well-posedness and the global attractors of the solutions for the Higher-order Kirchhoff-type wave equation with nonlinear strongly damping: . For strong nonlinear damping σ and ?, we make assumptions (H1) - (H4). Under of the proper assume, the main results are existence and uniqueness of the solution in proved by Galerkin method, and deal with the global attractors.

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

现代非线性理论与应用(英文)

自引率

0.00%

发文量

111