Global lyapunov exponents, kaplan‐yorke formulas and the dimension of the attractors for 2D navier‐stokes equations

Lecture Notes in Mathematics

Stéphane Crépey, Olivier Guéant, David Hobson et al. · HAL (Le Centre pour la Communication Scientifique Directe) · 2011 · 10.1K citations

Theoretical Mathematics, Mathematics Curriculum, Lecture Notes +2

Chaotic attractors of an infinite-dimensional dynamical system

J. Doyne Farmer · Physica D Nonlinear Phenomena · 1982 · 891 citations

Attractor, Deterministic Dynamical System, Chaotic Attractors +1

SOME ANALYTIC AND GEOMETRIC PROPERTIES OF THE SOLUTIONS OF THE EVOLUTION NAVIER-STOKES EQUATIONS

Ciprian Foiaş, Roger Témam · 1979 · 282 citations

Engineering, Geometric Partial Differential Equation, Fluid Mechanics +6

Asymptotic analysis of the navier-stokes equations

Ciprian Foiaş, O. P. Manley, Roger Témam et al. · Physica D Nonlinear Phenomena · 1983 · 182 citations

Numerical Analysis, Compressible Flow, Engineering +4

Negatively invariant sets of compact maps and an extension of a theorem of Cartwright

John Mallet‐Paret · Journal of Differential Equations · 1976 · 168 citations

Invariant Sets, Topological Dynamic, Set-theoretic Topology +5