On the fractal dimension of invariant sets: Applications to Navier-Stokes equations.

DOI10.3934/dcds.2004.10.117zbMath1049.37047OpenAlexW2065882052MaRDI QIDQ1433909

Vladimir V. Chepyzhov, Alexei A. Ilyin

Publication date: 1 July 2004

Published in: Discrete and Continuous Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcds.2004.10.117

zbMATH Keywords

invariant setHilbert spacetwo-dimensional Navier-Stokes systemestimation on fractal and Hausdorff dimensionssemigroup of continuous operators

Mathematics Subject Classification ID

Navier-Stokes equations for incompressible viscous fluids (76D05) Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems (37L30) Nonlinear differential equations in abstract spaces (34G20) Navier-Stokes equations (35Q30) Dimension theory of smooth dynamical systems (37C45)

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