检索结果-南通市图书馆

Robustness of pullback attractors for 2D Incompressible Navier-Stokes Equations with Delay

Journal of Partial Differential Equations 2024年第1期37卷 25-46页

作者： SU Keqin YANG Xinguang College of Information and Management Science Henan Agricultural UniversityZhengzhou 450046China. Department of Mathematics and Information Science Henan Normal UniversityXinxiang 453007China

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.

关键词： Navier-Stokes equations pullback attractors delay upper semi-continuity

来源：

维普期刊数据库评论

在线全文

维普期刊数据库

学校读者我要写书评

暂无评论

THEORETICAL RESULTS ON THE EXISTENCE,REGULARITY AND ASYMPTOTIC STABILITY OF ENHANCED pullback attractors:APPLICATIONS TO 3D PRIMITIVE EQUATIONS

引用

Acta Mathematica Scientia 2023年第6期43卷 2493-2518页

作者：王仁海郭柏灵黄代文 School of Mathematical Sciences Guizhou Normal UniversityGuiyang 550001China Institute of Applied Physics and Computational Mathematics Beijing 100088China

Several new concepts of enhanced pullback attractors for nonautonomous dynamical systems are introduced here by uniformly enhancing the compactness and attraction of the usual pullback attractors over an infinite forward time-interval under strong and weak topologies.Then we provide some theoretical results for the existence,regularity and asymptotic stability of these enhanced pullback attractors under general theoretical frameworks which can be applied to a large class of PDEs.The existence of these enhanced attractors is harder to obtain than the backward case[33],since it is difficult to uniformly control the long-time pullback behavior of the systems over the forward time-interval.As applications of our theoretical results,we consider the famous 3D primitive equations modelling the large-scale ocean and atmosphere dynamics,and prove the existence,regularity and asymptotic stability of the enhanced pullback attractors in V×V and H^(2)×H^(2) for the time-dependent forces which satisfy some weak conditions.

关键词： 3D primitive equations pullback attractors regularity fattening stability

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

pullback attractors for a Damped Semilinear Wave Equation with Delays

引用

Acta Mathematica Sinica,English Series 2018年第7期34卷 1131-1150页

作者： Kai Xuan ZHU Yong Qin XIE Feng ZHOU Hu'nan Province Cooperative Innovation Center for the Construction and Development of Dongting Lake Ecological Economic Zone College of Mathematics and Computational Science Hu'nan University of Arts and Science Changde 415000 P. R. China School of Mathematics and Statistics Changsha University of Science and Technology Changsha 410114 P. R. China College of Science China University of Petroleum (East China) Qingdao 266580 P. R. China

In this paper, we consider the weakly damped wave equations with hereditary effects, and the nonlinearity f satisfies critical growth. The delay term g（t, ut） may be driven by a function with very weak assumptions, namely, just measurability. We analyze the well-posedness of solutions and verify the existence of the pullback ：D-attractor in CH01（Ω） × CL2 （Ω） by constructing the energy functional and combining with the idea of the contractive function.

关键词： Wave equations critical nonlinearity delays pullback attractors

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

EQUI-ATTRACTION AND BACKWARD COMPACTNESS OF pullback attractors FOR POINT-DISSIPATIVE GINZBURG-LANDAU EQUATIONS

引用

Acta Mathematica Scientia 2018年第2期38卷 591-609页

作者：李扬荣佘连兵尹金艳 School of Mathematics and Statistics Southwest University Chongqing 400715 China Department of Mathematics Liupanshui normal college Liupanshui 553004 China School of Mathematics and Information China West Normal University Nanchong 637002 China

A new concept of an equi-attractor is introduced, and defined by the minimal compact set that attracts bounded sets uniformly in the past, for a non-autonomous dynam- ical system. It is shown that the compact equi-attraction implies the backward compactness of a pullback attractor. Also, an eventually equi-continuous and strongly bounded process has an equi-attractor if and only if it is strongly point dissipative and strongly asymptotically compact. Those results primely strengthen the known existence result of a backward bounded pullback attractor in the literature. Finally, the theoretical criteria are applied to prove the existence of both equi-attractor and backward compact attractor for a Ginzburg-Landau equation with some varying coefficients and a backward tempered external force.

关键词： Non-autonomous systems point dissipative processes pullback attractors backward compact attractors equi-attractors Ginzburg-Landau equations

来源：

维普期刊数据库

同方期刊数据库评论

在线全文

学校读者我要写书评

暂无评论

欢迎您,

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案：

请选择收藏分类：

通借通还

欢迎您,

建议与咨询 留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

时间限定

文献类型

馆藏选择

核心期刊

语言

文献类型

帮助

文字说明：

检索规则说明：

检索范例：

分类表

所选分类

限定检索结果

文献类型

馆藏范围

日期分布

学科分类号

主题

机构

作者

语言

在线全文

在线全文

在线全文

在线全文

请选择保存的检索档案： 新增检索档案 确定 取消

请选择收藏分类： 新增自定义分类 确定 取消

通借通还

建议与咨询留下您的常用邮箱和电话号码，以便我们向您反馈解决方案和替代方法

请选择保存的检索档案：

请选择收藏分类：