Exponential attractors for weakly damped wave equation with sub-quintic nonlinearity. (1st August 2019)

• Record Type: Journal Article
• Authors: Meng, Fengjuan; Liu, Cuncai
• Is Part Of: Computers & mathematics with applications. Volume 78:issue 3(2019)
• Page Start: 1026
• Page End: 1036
• Publication Date: 2019-08-01
• Subjects: Exponential attractor -- Damped wave equation -- Strichartz estimate; Electronic data processing -- Periodicals; Mathematics -- Data processing -- Periodicals; 510.28541
• DOI: 10.1016/j.camwa.2019.03.015
• Languages: English
• ISSNs: 0898-1221

Abstract

Abstract: In this paper, we study the existence of exponential attractors for the weakly damped wave equation u t t + γ u t − Δ u + f ( u ) = g in a bounded smooth domain of R 3 . Based on the recent extension of the Strichartz estimate for the case of a bounded domain, we establish an exponential attractor in a natural energy space for the case of sub-quintic nonlinearity. The results obtained essentially improve and complete some previous works.