SPDE in Hydrodynamics: Recent Progress and Prospects: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, August 29 - September 3, 2005 (Lecture Notes in Mathematics Book 1942)

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.

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 shastic 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.

Front Matter....Pages i-viii Some Methods of Infinite Dimensional Analysis in Hydrodynamics: An Introduction....Pages 1-50 An Introduction to 3D Stochastic Fluid Dynamics....Pages 51-150 Mathematical Results Related to the Navier–Stokes System....Pages 151-164 Back Matter....Pages 165-174