| Full text | |
| Author(s): |
Neyra, Jackeline Huaccha
;
Lopez-Lazaro, Heraclio
;
Rubio, Obidio
;
Takaessu Junior, Carlos R.
Total Authors: 4
|
| Document type: | Journal article |
| Source: | Journal of Mathematical Analysis and Applications; v. 547, n. 2, p. 30-pg., 2025-07-15. |
| Abstract | |
In this work, we present a way of approaching the theory of pullback exponential attractors for dynamical systems on time-dependent phase spaces (or dynamical systems associated with non-cylindrical problems). We will show that these types of dynamical systems satisfying the smoothing property have a pullback exponential attractor, extending the results for dynamical systems defined on a fixed phase space, e.g. [5,15,25]. Furthermore, we will apply this theory to show that the dynamical system associated with the 2D-Navier-Stokes equations on some non- cylindrical domain has a pullback exponential attractor on a suitable tempered universe that depends on the time integrability of the external force and the behavior of the initial conditions. (c) 2025 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies. (AU) | |
| FAPESP's process: | 21/01931-4 - Pullback attractor for non-linear parabolic equations with subdifferential principal part |
| Grantee: | Heraclio Ledgar López Lázaro |
| Support Opportunities: | Scholarships in Brazil - Post-Doctoral |
| FAPESP's process: | 20/14353-6 - Hyperbolicity for quasilinear parabolic problems |
| Grantee: | Carlos Roberto Takaessu Junior |
| Support Opportunities: | Scholarships in Brazil - Doctorate |
| FAPESP's process: | 22/13001-4 - Finite fractal dimension for non-linear parabolic equations with subdifferential principal part |
| Grantee: | Heraclio Ledgar López Lázaro |
| Support Opportunities: | Scholarships abroad - Research Internship - Post-doctor |
| FAPESP's process: | 22/02172-2 - Shadowing and hyperbolicity for quasilinear parabolic problems |
| Grantee: | Carlos Roberto Takaessu Junior |
| Support Opportunities: | Scholarships abroad - Research Internship - Doctorate |