Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations

Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations

In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent extension of the Strichartz estimate for the cas...

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Main Authors: Cuncai Liu, Fengjuan Meng, Chang Zhang
Format: Article
Language:English
Published: Hindawi Limited 2020-01-01
Series:Journal of Mathematics
Online Access:http://dx.doi.org/10.1155/2020/6293746
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spelling doaj-ecb10bdb68f7472abb324c8e52d5f9cf2020-11-25T03:53:57ZengHindawi LimitedJournal of Mathematics2314-46292314-47852020-01-01202010.1155/2020/62937466293746Strong Exponential Attractors for Weakly Damped Semilinear Wave EquationsCuncai Liu0Fengjuan Meng1Chang Zhang2School of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, ChinaSchool of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, ChinaSchool of Mathematics and Physics, Jiangsu University of Technology, Changzhou 213001, ChinaIn this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent extension of the Strichartz estimate for the case of a bounded domain. The results obtained complete some previous works.http://dx.doi.org/10.1155/2020/6293746
collection DOAJ
language English
format Article
sources DOAJ
author Cuncai Liu
Fengjuan Meng
Chang Zhang
spellingShingle Cuncai Liu
Fengjuan Meng
Chang Zhang
Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations
Journal of Mathematics
author_facet Cuncai Liu
Fengjuan Meng
Chang Zhang
author_sort Cuncai Liu
title Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations
title_short Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations
title_full Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations
title_fullStr Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations
title_full_unstemmed Strong Exponential Attractors for Weakly Damped Semilinear Wave Equations
title_sort strong exponential attractors for weakly damped semilinear wave equations
publisher Hindawi Limited
series Journal of Mathematics
issn 2314-4629
2314-4785
publishDate 2020-01-01
description In this paper, we investigate the longtime dynamics for the damped wave equation in a bounded smooth domain of ℝ3. The exponential attractor is investigated in a strong energy space for the case of subquintic nonlinearity, which is based on the recent extension of the Strichartz estimate for the case of a bounded domain. The results obtained complete some previous works.
url http://dx.doi.org/10.1155/2020/6293746
work_keys_str_mv AT cuncailiu strongexponentialattractorsforweaklydampedsemilinearwaveequations
AT fengjuanmeng strongexponentialattractorsforweaklydampedsemilinearwaveequations
AT changzhang strongexponentialattractorsforweaklydampedsemilinearwaveequations
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