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Technical Turbulence and Navier Stokes Equations
Posted on 2010-07-27
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More Turbulence and Navier Stokes Equations 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. My Links To thank me use my links, please!
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