Asymptotic behavior of pullback attractors for non-autonomous micropolar fluid flows in 2D unbounded domains
| dc.contributor.author | Sun, Wenlong | |
| dc.contributor.author | Li, Yeping | |
| dc.date.accessioned | 2021-12-17T14:14:11Z | |
| dc.date.available | 2021-12-17T14:14:11Z | |
| dc.date.issued | 2018-01-04 | |
| dc.description.abstract | In this article, we investigate the pullback asymptotic behavior of solutions for a non-autonomous micropolar fluid flows in 2D unbounded channel-like domains. First, applying the technique of truncation functions, decomposition of spatial domain, and the energy method, we show the existence of the pullback attractor in the space Ĥ(Ω) (has L2-regularity). In fact, we can deduce the existence of pullback attractor in space V̂(Ω) (has H1-regularity). Also the tempered behavior of the pullback attractor is verified. Moreover, when the spatial domain varies from Ωm({Ωm}∞m=1 be an expanding sequence of simply connected, bounded and smooth subdomains of Ω such that ∪∞m=1 Ωm = Ω) to Ω, the upper semicontinuity of the pullback attractor is discussed. | |
| dc.description.department | Mathematics | |
| dc.format | Text | |
| dc.format.extent | 21 pages | |
| dc.format.medium | 1 file (.pdf) | |
| dc.identifier.citation | Sun, W., & Li, Y. (2018). Asymptotic behavior of pullback attractors for non-autonomous micropolar fluid flows in 2D unbounded domains. <i>Electronic Journal of Differential Equations, 2018</i>(03), pp. 1-21. | |
| dc.identifier.issn | 1072-6691 | |
| dc.identifier.uri | https://hdl.handle.net/10877/15058 | |
| dc.language.iso | en | |
| dc.publisher | Texas State University, Department of Mathematics | |
| dc.rights | Attribution 4.0 International | |
| dc.rights.holder | This work is licensed under a Creative Commons Attribution 4.0 International License. | |
| dc.rights.uri | https://creativecommons.org/licenses/by/4.0/ | |
| dc.source | Electronic Journal of Differential Equations, 2018, San Marcos, Texas: Texas State University and University of North Texas. | |
| dc.subject | Micropolar fluid flow | |
| dc.subject | Pullback attractor | |
| dc.subject | Truncation function | |
| dc.subject | Tempered behavior | |
| dc.subject | Upper semicontinuity | |
| dc.title | Asymptotic behavior of pullback attractors for non-autonomous micropolar fluid flows in 2D unbounded domains | |
| dc.type | Article |