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Article type: Research Article
Authors: Li, Lua | Yang, Xin-Guanga; * | Li, Xuezhia | Yan, Xingjieb | Lu, Yongjinc
Affiliations: [a] Department of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, Henan, P. R. China. E-mails: [email protected], [email protected], [email protected] | [b] College of Science, China University of Mining and Technology, Xuzhou, 221008, P. R. China. E-mail: [email protected] | [c] Department of Mathematics and Economics, Virginia State University, Petersburg, VA 23806, USA. E-mail: [email protected]
Correspondence: [*] Corresponding author. E-mail: [email protected].
Abstract: The tempered pullback dynamics of the 3D Brinkman–Forchheimer equation with variable delay has been studied in this paper. With the different universes which has some topology property, the existence of minimal and unique family of pullback attractors were obtained. Moreover, the convergence of pullback attractors for the 3D Brinkman–Forchheimer equation as delay term vanishes is also been proved, i.e., the upper semi-continuity of attractors.
Keywords: Brinkman–Forchheimer equation, delay, upper semi-continuity, universe, tempered pullback attractors
DOI: 10.3233/ASY-181512
Journal: Asymptotic Analysis, vol. 113, no. 3, pp. 167-194, 2019
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