Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations

DOI10.1007/BF02218532zbMath0810.34056MaRDI QIDQ1332187

Basil Nicolaenko, Alp Eden, Ciprian Foias

Publication date: 18 April 1995

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

zbMATH Keywords

fractal dimensionexponential attractorscontrol of Lyapunov exponentsNavier-Stokes systems

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Navier-Stokes equations (35Q30) Characteristic and Lyapunov exponents of ordinary differential equations (34D08) Attractors of solutions to ordinary differential equations (34D45)

Related Items (4)

Singular limits of Voigt models in fluid dynamics ⋮ THE EXISTENCE OF PULLBACK EXPONENTIAL ATTRACTORS FOR NONAUTONOMOUS DYNAMICAL SYSTEM AND APPLICATIONS TO NONAUTONOMOUS REACTION DIFFUSION EQUATIONS ⋮ Necessary and sufficient conditions for the existence of exponential attractors for semigroups, and applications ⋮ Perturbations of normally hyperbolic manifolds with applications to the Navier-Stokes equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the dimension of the attractors in two-dimensional turbulence
• Some analytic and geometric properties of the solutions of the evolution Navier-Stokes equations
• Infinite-dimensional dynamical systems in mechanics and physics
• Integral manifolds and inertial manifolds for dissipative partial differential equations
• Finite dimensional exponential attractors for semilinear wave equations with damping
• Negatively invariant sets of compact maps and an extension of a theorem of Cartwright
• Embedology
• Exponential attractors for a doubly nonlinear equation
• Exponential attractors and their relevance to fluid dynamics systems
• Local and global Lyapunov exponents
• Global lyapunov exponents, kaplan-yorke formulas and the dimension of the attractors for 2D navier-stokes equations
• Local exponential attractors for models of phase change for compressible gas dynamics
• On Burgers' original model of turbulence
• Exponential attractors for extensible beam equations

This page was built for publication: Exponential attractors of optimal Lyapunov dimension for Navier-Stokes equations