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
2008
ISBN: 978-3-540-78492-0
Verlag: Springer Berlin Heidelberg

Buch, Englisch, Band 1942, 174 Seiten, Format (B × H): 155 mm x 235 mm, Gewicht: 289 g

Reihe: Lecture Notes in Mathematics

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.

Zielgruppe

Research

Autoren/Hrsg.

Albeverio, Sergio

Flandoli, Franco

Sinai, Yakov G.

Da Prato, Giuseppe

Röckner, Michael

Fachgebiete

• Mathematik | Informatik Mathematik Stochastik Stochastische Prozesse
• Mathematik | Informatik Mathematik Stochastik Wahrscheinlichkeitsrechnung
• Naturwissenschaften Physik Physik Allgemein Theoretische Physik, Mathematische Physik, Computerphysik
• Mathematik | Informatik Mathematik Stochastik Mathematische Statistik
• Technische Wissenschaften Maschinenbau | Werkstoffkunde Technische Mechanik | Werkstoffkunde Strömungslehre
• Mathematik | Informatik Mathematik Stochastik Elementare Stochastik
• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen
• Naturwissenschaften Physik Mechanik Kontinuumsmechanik, Strömungslehre

Inhaltsverzeichnis

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.