| Full text | |
| Author(s): |
Li, Juntao
;
Wang, Yadi
;
Yang, Xin-Guang
Total Authors: 3
|
| Document type: | Journal article |
| Source: | MATHEMATICAL METHODS IN THE APPLIED SCIENCES; v. 39, n. 12, p. 3186-3203, AUG 2016. |
| Web of Science Citations: | 0 |
| Abstract | |
In this present paper, the existence of pullback attractors for the 2D Navier-Stokes equation with weak damping, distributed delay, and continuous delay has been considered, by virtue of classical Galerkin's method, we derived the existence and uniqueness of global weak and strong solutions. Using the Aubin-Lions lemma and some energy estimate in the Banach space with delay, we obtained the uniform bounded and existence of uniform pullback absorbing ball for the solution semi-processes; we concluded the pullback attractors via verifying the pullback asymptotical compactness by the generalized Arzela-Ascoli theorem. Copyright (c) 2016 John Wiley \& Sons, Ltd. (AU) | |
| FAPESP's process: | 14/17080-0 - Nonautonomous dynamical systems of evolution equations on domains with moving boundary |
| Grantee: | Xinguang Yang |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |