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SPDE in Hydrodynamics: Recent Progress and Prospects

SPDE in Hydrodynamics: Recent Progress and Prospects

By Sergio Albeverio, Giuseppe Da Prato, Franco Flandoli, Michael Rockner & Yakov G. Sinai Mathematics 01/04/2008

Of the three lecture courses making up the CIME summer school on Fluid Dynamics at Cetraro in 2005 reflected in this volume, the first, due to Sergio Albeverio describes deterministic and stochastic models of hydrodynamics.
In the second course, Franco Flandoli starts from 3D Navier-Stokes equations and ends with turbulence.
Finally,Yakov Sinai, in the 3rd course, describes some rigorous mathematical results for multidimensional Navier-Stokes systems and some recent results on the one-dimensional Burgers equation with random forcing.

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