SPDE in Hydrodynamic: Recent Progress and Prospects

Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy August 29–September 3, 2005

  • Sergio Albeverio
  • Franco Flandoli
  • Yakov G. Sinai
  • Giuseppe Da Prato
  • Michael Rückner

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

Table of contents

  1. Front Matter
    Pages i-viii
  2. Back Matter
    Pages 165-174

About this book

Introduction

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.

Keywords

Euler equations Navier-Stokes equation Navier-Stokes equations fluid dynamics infinite dimensional analysis stochastic PDEs turbulence

Authors and affiliations

  • Sergio Albeverio
    • 1
  • Franco Flandoli
    • 2
  • Yakov G. Sinai
    • 3
  1. 1.Universität Bonn53115Germany
  2. 2.Università di Pisa56127Italy
  3. 3.Princeton UniversityPrincetonUSA

Editors and affiliations

  • Giuseppe Da Prato
    • 1
  • Michael Rückner
    • 2
  1. 1.Scuola Normale SuperioreItaly
  2. 2.Universitat BielefeldGermany

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-78493-7
  • Copyright Information Springer Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-78492-0
  • Online ISBN 978-3-540-78493-7
  • Series Print ISSN 0075-8434
  • About this book