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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

Sergio Albeverio, Franco Flandoli, Yakov G. Sinai (Autoren)

Giuseppe Da Prato, Michael Röckner (Herausgeber)

Buch | Softcover

VIII, 174 Seiten

2008 | 2008
Springer Berlin (Verlag)
978-3-540-78492-0 (ISBN)

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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.

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.

Erscheint lt. Verlag	14.4.2008
Reihe/Serie	C.I.M.E. Foundation Subseries
Reihe/Serie	Lecture Notes in Mathematics
Zusatzinfo	VIII, 174 p.
Verlagsort	Berlin
Sprache	englisch
Maße	155 x 235 mm
Gewicht	268 g
Themenwelt	Mathematik / Informatik ► Mathematik ► Analysis
Schlagworte	76D03, 35Q05, 76F02, 60H15 • Euler equations • Fluid Dynamics • Infinite dimensional analysis • Navier-Stokes Equation • navier-stokes equations • Partial differential equations • Stochastic PDEs • Turbulence
ISBN-10	3-540-78492-6 / 3540784926
ISBN-13	978-3-540-78492-0 / 9783540784920
Zustand	Neuware