Uniform Global Attractors for Non-Autonomous Dissipative Dynamical Systems
Michael Zgurovsky, Mark Gluzman, Nataliia Gorban, Pavlo Kasyanov,, Liliia Paliichuk, Olha Khomenko
TL;DR
This paper establishes conditions for the existence of uniform global attractors in non-autonomous infinite-dimensional dynamical systems, relaxing previous compactness assumptions and applying results to various evolution inclusions.
Contribution
It introduces generalized conditions for uniform attractors in non-autonomous systems without requiring restrictive compactness assumptions.
Findings
Established sufficient conditions for uniform global attractors.
Extended applicability to evolution inclusions.
Relaxed compactness requirements in infinite-dimensional spaces.
Abstract
In this paper we consider sufficient conditions for the existence of uniform compact global attractor for non-autonomous dynamical systems in special classes of infinite-dimensional phase spaces. The obtained generalizations allow us to avoid the restrictive compactness assumptions on the space of shifts of non-autonomous terms in particular evolution problems. The results are applied to several evolution inclusions.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsStability and Controllability of Differential Equations