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Turbulence and Navier Stokes Equations


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Table of Contents

Finite-time regularity for bounded and unbounded ideal incompressible fluids using holder estimates.- Modified dissipativity for a non linear evolution equation arising in turbulence.- A generic property of the set of stationary solutions of Navier stokes equations.- Two strange attractors with a simple structure.- Direct bifurcation of a steady solution of the Navier-stokes equations into an invariant torus.- Factorization theorems for the stability of bifurcating solutions.- Mesures et dimensions.- Singular perturbation and semigroup theory.- Les equations spectrales en turbulence homogene et isotrope. Quelques resultats theoriques et numeriques.- Intermittent turbulence and fractal dimension: Kurtosis and the spectral exponent 5/3+B.- The Lorenz attractor and the problem of turbulence.- Pattern formation in convective phenomena.- Turbulence and Hausdorff dimension.- Local existence of ?? solutions of the euler equations of incompressible perfect fluids.

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