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SPDE in hydrodynamic[s] : 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 ; editors, Giuseppe Da Prato, Michael Röckner.

By: CIME Session "Enumerative Invariants in Algebraic Geometry and String Theory" (2005 : Cetraro, Italy)Contributor(s): Albeverio, Sergio | Da Prato, Giuseppe | Sinaĭ, I︠A︡. G. (I︠A︡kov Grigorʹevich), 1935- | Flandoli, Franco | Röckner, Michael, 1956- | Centro internazionale matematico estivoMaterial type: TextTextSeries: Lecture notes in mathematics (Springer-Verlag) ; 1942.Publication details: Berlin ; London : Springer, ©2008. Description: 1 online resource (viii, 166 pages)Content type: text Media type: computer Carrier type: online resourceISBN: 9783540784937; 3540784934; 3540784926; 9783540784920Subject(s): Hydrodynamics -- Congresses | Hydrodynamics -- Mathematical models -- Congresses | Stochastic processes -- Congresses | Hydrodynamics | Hydrodynamics -- Mathematical models | Stochastic processes | wiskunde | mathematics | fysica | physics | stochastische processen | stochastic processes | toegepaste wiskunde | applied mathematics | partial differential equations | waarschijnlijkheidstheorie | probability theory | Mathematics (General) | Wiskunde (algemeen)Genre/Form: Electronic books. | Conference papers and proceedings. Additional physical formats: Print version:: SPDE in hydrodynamic[s].DDC classification: 532.5 LOC classification: QA911 | .C56 2008ebQA3 | .L28 no. 1942ebOnline resources: Click here to access online
Contents:
Some methods of infinite dimensional analysis in hydrodynamics : an introduction / Sergio Albeverio and Benedetta Ferrario -- An introduction to 3D stochastic fluid dynamics / Franco Flandoli -- Mathematical results related to the Navier-Stokes system / Yakov G. Sinai.
Summary: 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.
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Some methods of infinite dimensional analysis in hydrodynamics : an introduction / Sergio Albeverio and Benedetta Ferrario -- An introduction to 3D stochastic fluid dynamics / Franco Flandoli -- Mathematical results related to the Navier-Stokes system / Yakov G. Sinai.

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.

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