Turbulence and Navier Stokes Equations: Proceedings of the Conference Held at the University of Paris-Sud, Orsay, June 12 - 13, 1975 - ISBN:3540080600

Turbulence and Navier Stokes Equations: Proceedings of the Conference Held at the University of Paris-Sud, Orsay, June 12 - 13, 1975

Date: 13 April 2011, 03:07

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There has been a strong renewed interest in the mathematical aspects of Turbulence during recent years :
- Topological and differential geometrical approaches to the asymptotic properties of solutions of dissipative equations of evolution (attractors, ...)
- New existence and regularity results during a finite time for the three dimensional Euler equations.
- Direct and function-space approaches to the random Navier-Stokes equations.
- Mathematical investigation of stochastic models in Turbulence leading at vanishing viscosity, to singularities after a finite time and to power law spectra.
- Introduction of geometric objects with fractional Hausdorff dimension to represent the dissipative part of a turbulent flow at vanishing viscosity.
- Parallel to this, direct numerical simulation techniques for the random Navier-Stokes equations have been developed.

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