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 /

• Main Authors: Albeverio, Sergio (Author), Flandoli, Franco (Author), Sinai, Yakov G. (Author)
• Corporate Author: SpringerLink (Online service)
• Other Authors: Prato, Giuseppe Da (Editor), Rückner, Michael (Editor)
• Format: Electronic eBook
• Language: English
• Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2008.
• Series: Lecture Notes in Mathematics, 1942
• Subjects: Mathematics.; Mathematical analysis.; Analysis (Mathematics).; Partial differential equations.; Probabilities.; Physics.; Continuum physics.; Analysis.; Probability Theory and Stochastic Processes.; Classical Continuum Physics.; Partial Differential Equations.; Mathematical Methods in Physics.

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...

Table of Contents:

• Some Methods of Infinite Dimensional Analysis in Hydrodynamics: An Introduction
• An Introduction to 3D Stochastic Fluid Dynamics
• Mathematical Results Related to the Navier–Stokes System.