Measures describing a turbulent flow
STABILITE
PERTURBATION
PROCESSUS STOCHASTIQUES
TEMPS
Abstract :Recent attempts at understanding hydrodynamic turbulence have used the ideas of strange attractors, characteristic exponents and stable manifolds for differentiable dynamical systems in finite dimensional spaces. This use was somewhat metophorical, because hydrodynamic evolution is defined in infinite dimensional functional spaces. A recent study indicates that many results in infinite dimensional Hilbert spaces under certain compactness assumptions. This is the case in particular for the time evolution defined by the Navier-Stokes equations in a bounded region of R2 or R3.
RUELLE
P/79/313
IHES
11/1979
A4
9 f.
EN
TEXTE
PREPUBLICATION
P_79_313.pdf
1979
Dynamical systems with turbulent behavior
CONGRES ET CONFERENCES
SYSTEMES DYNAMIQUES
ENTROPIE
RADON
[Text of a talk presented at the International Mathematical Physics Conference in Rome, 1977]
RUELLE
P/77/189
IHES
10/1977
A4
13 f.
EN
TEXTE
PREPUBLICATION
P_77_189.pdf
1977