Measures describing a turbulent flow

Ruelle, David



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.




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RUELLE, “Measures describing a turbulent flow,” Archives de l'IHES, consulté le 30 mai 2024,