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Includes supplementary material: sn.pub/extras
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)
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Front Matter
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Back Matter
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.
Keywords
- Euler equations
- Navier-Stokes equation
- Navier-Stokes equations
- fluid dynamics
- infinite dimensional analysis
- stochastic PDEs
- turbulence
- partial differential equations
Authors, Editors and Affiliations
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Scuola Normale Superiore, Italy
Giuseppe Prato
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Universitat Bielefeld, Germany
Michael Rückner
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Universität Bonn, 53115, Germany
Sergio Albeverio
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Università di Pisa, 56127, Italy
Franco Flandoli
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Princeton University, Princeton, USA
Yakov G. Sinai
Bibliographic Information
Book Title: SPDE in Hydrodynamics: Recent Progress and Prospects
Book Subtitle: Lectures given at the C.I.M.E. Summer School held in Cetraro, Italy, August 29 - September 3, 2005
Authors: Sergio Albeverio, Franco Flandoli, Yakov G. Sinai
Editors: Giuseppe Prato, Michael Rückner
Series Title: Lecture Notes in Mathematics
DOI: https://doi.org/10.1007/978-3-540-78493-7
Publisher: Springer Berlin, Heidelberg
eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)
Copyright Information: Springer-Verlag Berlin Heidelberg 2008
Softcover ISBN: 978-3-540-78492-0Published: 14 April 2008
eBook ISBN: 978-3-540-78493-7Published: 01 April 2008
Series ISSN: 0075-8434
Series E-ISSN: 1617-9692
Edition Number: 1
Number of Pages: VIII, 174
Topics: Analysis, Probability Theory, Classical and Continuum Physics, Differential Equations, Mathematical Methods in Physics