Asymptotic Regularity and Uniform Attractor for Non-autonomous Viscoelastic Equations with Memory

DOI

10.2991/ammsa-17.2017.70How to use a DOI?

Keywords

non-autonomous wave equations; asymptotic regularity; uniform attractor; memory;viscoelasticity

Abstract

In this paper, long-time behavior of a class of non-autonomous viscoelastic equations with fading memory is investigated. We establish the existence of a compact uniform attractor together with its structure in H10( )žH10( )žL2?(R+;H10( )). The compact uniform attractor is bounded in D(A)žD(A)žL2 (R+;D(A)) and attracts every bounded set of H10( )žH10( )žL2 (R+;H10( )).

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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TY  - CONF
AU  - Ye Zeng
AU  - Yanan Li
AU  - Yongqin Xie
AU  - Shuangli Luo
PY  - 2017/05
DA  - 2017/05
TI  - Asymptotic Regularity and Uniform Attractor for Non-autonomous Viscoelastic Equations with Memory
BT  - Proceedings of the 2017 International Conference on Applied Mathematics, Modelling and Statistics Application (AMMSA 2017)
PB  - Atlantis Press
SP  - 309
EP  - 318
SN  - 1951-6851
UR  - https://doi.org/10.2991/ammsa-17.2017.70
DO  - 10.2991/ammsa-17.2017.70
ID  - Zeng2017/05
ER  -