Finite-dimensional negatively invariant subsets of Banach spaces

DOI10.1016/j.jmaa.2021.125945zbMath1494.37047OpenAlexW4200217562MaRDI QIDQ2075189

James C. Robinson, Arthur C. Cunha, José Antonio Langa, Alexandre Nolasco De Carvalho

Publication date: 14 February 2022

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.125945

zbMATH Keywords

smoothingglobal attractorsbox-counting dimensionnegatively invariant sets

Mathematics Subject Classification ID

Contents, measures, outer measures, capacities (28A12) Attractors and repellers of smooth dynamical systems and their topological structure (37C70) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Navier-Stokes equations (35Q30) Fractals (28A80) Nonlinear evolution equations (47J35) Dimension theory of smooth dynamical systems (37C45) Semilinear parabolic equations (35K58)

Related Items (1)

Existence and stability of pullback exponential attractors for a nonautonomous semilinear evolution equation of second order

Cites Work

• Attractors for infinite-dimensional non-autonomous dynamical systems
• Finite-dimensional global attractors in Banach spaces
• Geometric theory of semilinear parabolic equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
• Fractal dimension, attractors, and the Boussinesq approximation in three dimensions
• Pullback exponential attractors for evolution processes in Banach spaces: theoretical results
• Random pullback exponential attractors: general existence results for random dynamical systems in Banach spaces
• Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
• Exponential attractors for a nonlinear reaction-diffusion system in
• Exponential attractors in Banach spaces.
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