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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

  • Book
  • © 2008

Overview

Part of the book series: Lecture Notes in Mathematics (LNM, volume 1942)

Part of the book sub series: C.I.M.E. Foundation Subseries (LNMCIME)

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Table of contents (3 chapters)

Keywords

About this book

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.

Authors, Editors and Affiliations

  • Scuola Normale Superiore, Italy

    Giuseppe Prato

  • Universitat Bielefeld, Germany

    Michael Rückner

  • Universität Bonn, 53115, Germany

    Sergio Albeverio

  • Università di Pisa, 56127, Italy

    Franco Flandoli

  • Princeton University, Princeton, USA

    Yakov G. Sinai

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