Existence of global attractors for two-dimensional Newton–Boussinesq equation. (July 2017)

• Record Type: Journal Article
• Authors: Song, Xue-li; Wu, Jian-hua
• Is Part Of: Nonlinear analysis. Volume 157(2017)
• Page Start: 1
• Page End: 19
• Publication Date: 2017-07
• Subjects: 35B40 -- 35B41 -- 37L30; Newton–Boussinesq equation -- Global attractor -- Asymptotic compactness; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2017.03.002
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper, we study global attractors of two-dimensional Newton–Boussinesq equation. We obtain the existence of H 0 1 ( Ω ) × H 0 1 ( Ω ) -global attractors and H 2 ( Ω ) × H 2 ( Ω ) -global attractors in two-dimensional bounded domains. Meanwhile, we get the existence of H 0 1 ( Ω ) × H 0 1 ( Ω ) -global attractors in two-dimensional channels.