On dimension and metric properties of trajectory attractors

DOI10.1007/s10884-005-8270-0zbMath1085.37055OpenAlexW2034473429MaRDI QIDQ818885

Stefan Siegmund, Igor D. Chueshov

Publication date: 21 March 2006

Published in: Journal of Dynamics and Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10884-005-8270-0

zbMATH Keywords

dimensionreaction-diffusion systemNavier-Stokes equationfractal dimensiontrajectory attractorfunctional dimensionmetric order

Mathematics Subject Classification ID

Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Reaction-diffusion equations (35K57) Navier-Stokes equations (35Q30) Fractals (28A80) Dimension theory of smooth dynamical systems (37C45)

Cites Work

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• Chemically reacting fluid flows: Weak solutions and global attractors
• Weak solutions and attractors for three-dimensional Navier-Stokes equations with nonregular force
• Global attractors for the three-dimensional Navier-Stokes equations
• Finite-dimensionality of bounded invariant sets for Navier-Stokes systems and other dissipative systems

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