On the Kolmogorov entropy of the weak global attractor of 3D Navier-Stokes equations. I

DOI10.3934/DCDSB.2017101zbMath1373.35225OpenAlexW2596417677MaRDI QIDQ521502

Bingsheng Zhang, Yong Yang

Publication date: 11 April 2017

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

Full work available at URL: https://doi.org/10.3934/dcdsb.2017101

zbMATH Keywords

3D Navier-Stokes equationsfunctional dimensionKolomogorov entropyweak global attractor

Mathematics Subject Classification ID

Attractors (35B41) Navier-Stokes equations for incompressible viscous fluids (76D05) Nonlinear differential equations in abstract spaces (34G20) Navier-Stokes equations (35Q30) General theory of infinite-dimensional dissipative dynamical systems, nonlinear semigroups, evolution equations (37L05) Inertial manifolds and other invariant attracting sets of infinite-dimensional dissipative dynamical systems (37L25)

Cites Work

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• Metric entropy and the central limit theorem in C(S)
• Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations

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