On the Measures which describe turbulence


Ruelle, David



Abstract : One expects that the average behavior (over large times) for hydordynamics and other natural phenomena is described by certain asymptotic measures on phase space. If initial conditions in a set of zero Lebesgu measure ar discarded, the asymptotic measures can be characterized on the basis of heuristic arguments. The requirement of stability under small stochastic perturbations produces measures with the same characterizations. We give here a critical discussion of the heuristic arguments and of the possible use of the characterizations of the asymptotic measures in the study of turbulence.




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RUELLE, “On the Measures which describe turbulence,” Archives de l'IHES, consulté le 20 mai 2024, https://omeka.ihes.fr/document/P_78_245.pdf.