Longtime robustness and semi-uniform compactness of a pullback attractor via nonautonomous PDE
This paper is concerned with the robustness of a pullback attractor as the time tends to infinity. A pullback attractor is called forward (resp. backward) compact if the union over the future (resp. the past) is pre-compact.
Yangrong Li, Lian-bing She, J. Yin
semanticscholar +1 more source
Return governance and diplomacy between Türkiye and Afghanistan
Abstract There is growing scholarly and policy interest in understanding how destination and transit countries develop return migration policies and collaborate with origin countries. This study investigates the dynamics, drivers and outcomes of the collaborative process between Turkish and Afghan authorities in governing the return of Afghan migrants.
Zeynep Sahin‐Mencutek+2 more
wiley +1 more source
Upper semicontinuity of pullback attractors for a nonautonomous damped wave equation
In this paper, we study the local uniformly upper semicontinuity of pullback attractors for a strongly damped wave equation. In particular, under some proper assumptions, we prove that the pullback attractor { A ε ( t ) } t ∈ R $\{A_{\varepsilon }(t)\}_ ...
Yonghai Wang, Minhui Hu, Yuming Qin
doaj +1 more source
Time-dependent attractors for non-autonomous nonlocal reaction-diffusion equations [PDF]
In this paper, the existence and uniqueness of weak and strong solutions for a non-autonomous nonlocal reaction-diffusion equation is proved. Next, the existence of minimal pullback attractors in the L2 -norm in the frameworks of universes of fixed ...
Caraballo Garrido, Tomás+2 more
core +1 more source
On profinite rigidity amongst free‐by‐cyclic groups I: The generic case
Abstract We prove that amongst the class of free‐by‐cyclic groups, Gromov hyperbolicity is an invariant of the profinite completion. We show that whenever G$G$ is a free‐by‐cyclic group with first Betti number equal to one, and H$H$ is a free‐by‐cyclic group which is profinitely isomorphic to G$G$, the ranks of the fibres and the characteristic ...
Sam Hughes, Monika Kudlinska
wiley +1 more source
H2-boundedness of the pullback attractor for a non-nutonomous reaction-diffusion equation [PDF]
We prove some regularity results for the pullback attractor of a reaction-diffusion model. First we establish a general result about H2-boundedness of invariant sets for an evolution process.
Anguiano Moreno, María+2 more
core
Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing [PDF]
The full nonlinear dissipative quasigeostrophic model is shown to have a unique temporally almost periodic solution when the wind forcing is temporally almost periodic under suitable constraints on the spatial square-integral of the wind forcing and the $
Duan, Jinqiao, Kloeden, Peter E.
core +2 more sources
Structure of hyperbolic polynomial automorphisms of C2${\mathbb {C}^2}$ with disconnected Julia sets
Abstract For a hyperbolic polynomial automorphism of C2$\mathbb {C}^2$ with a disconnected Julia set, and under a mild dissipativity condition, we give a topological description of the components of the Julia set. Namely, there are finitely many “quasi‐solenoids” that govern the asymptotic behavior of the orbits of all nontrivial components.
Romain Dujardin, Mikhail Lyubich
wiley +1 more source
Invariant manifolds as pullback attractors of nonautonomous differential equations
We discuss the relationship between invariant manifolds of nonautonomous differential equations and pullback attractors. This relationship is essential, e.g., for the numerical approximation of these manifolds. In the first step, we show that the unstable manifold is the pullback attractor of the differential equation.
Aulbach, Bernd+2 more
openaire +3 more sources
Weak Pullback Attractors of Non-autonomous Difference Inclusions [PDF]
Weak pullback attractors are defined for non-autonomous difference inclusions and their existence and upper semi continuous convergence under perturbation is established. Unlike strong pullback attractors, invariance and pullback attraction here are required only for (at least) a single trajectory rather than all trajectories at each starting point ...
Kloeden, Peter E., Marín Rubio, Pedro
openaire +3 more sources