Searching for just a few words should be enough to get started. If you need to make more complex queries, use the tips below to guide you.
Article type: Research Article
Authors: Su, Keqina | Yang, Xin-Guangb; c | Miranville, Alainb; c; * | Yang, Hed
Affiliations: [a] College of Information and Management Science, Henan Agricultural University, Zhengzhou 450046, P.R. China | [b] Department of Mathematics and Information Science, Henan Normal University, Xinxiang, 453007, P.R. China | [c] Laboratoire de Mathématiques et Applications, Université de Poitiers, Site du Futuroscope-Téléport 2, 11 Boulevard Marie et Pierre Curie, Bâtiment H3, TSA 61125, 86073 Poitiers Cedex 9, France | [d] College of Mathematics and Statistics, Northwest Normal University, Lanzhou, 730070, P.R. China
Correspondence: [*] Corresponding author. E-mail: Alain.Miranville@math.univ-poitiers.fr.
Abstract: This paper is concerned with the dynamics of the two-dimensional Navier–Stokes equations with multi-delays in a Lipschitz-like domain, subject to inhomogeneous Dirichlet boundary conditions. The regularity of global solutions and of pullback attractors, based on tempered universes, is established, extending the results of Yang, Wang, Yan and Miranville (Discrete Contin. Dyn. Syst. 41 (2021) 3343–3366). Furthermore, the robustness of pullback attractors when the delays, considered as small perturbations, disappear is also derived. The key technique in the proofs is the application of a retarded Gronwall inequality and a variable index for the tempered pullback dynamics, allowing to obtain uniform estimates and the compactness of the process.
Keywords: Navier–Stokes equations, multi-delays, Lipschitz-like domain, robustness
DOI: 10.3233/ASY-231845
Journal: Asymptotic Analysis, vol. 134, no. 3-4, pp. 513-552, 2023
IOS Press, Inc.
6751 Tepper Drive
Clifton, VA 20124
USA
Tel: +1 703 830 6300
Fax: +1 703 830 2300
sales@iospress.com
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
IOS Press
Nieuwe Hemweg 6B
1013 BG Amsterdam
The Netherlands
Tel: +31 20 688 3355
Fax: +31 20 687 0091
info@iospress.nl
For editorial issues, permissions, book requests, submissions and proceedings, contact the Amsterdam office info@iospress.nl
Inspirees International (China Office)
Ciyunsi Beili 207(CapitaLand), Bld 1, 7-901
100025, Beijing
China
Free service line: 400 661 8717
Fax: +86 10 8446 7947
china@iospress.cn
For editorial issues, like the status of your submitted paper or proposals, write to editorial@iospress.nl
如果您在出版方面需要帮助或有任何建, 件至: editorial@iospress.nl