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SPDE in Hydrodynamics: Recent Progress and Prospects

2008-04-14 Mathematics
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Release : 2008-04-14
Genre : Mathematics
Kind : eBook
Book Rating : 926/5 ( reviews)

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Book Synopsis SPDE in Hydrodynamics: Recent Progress and Prospects by : Sergio Albeverio

Download or read book SPDE in Hydrodynamics: Recent Progress and Prospects written by Sergio Albeverio. This book was released on 2008-04-14. Available in PDF, EPUB and Kindle. Book excerpt: 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.

SPDE in Hydrodynamics: Recent Progress and Prospects

2009-09-03 Mathematics
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Release : 2009-09-03
Genre : Mathematics
Kind : eBook
Book Rating : 731/5 ( reviews)

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Book Synopsis SPDE in Hydrodynamics: Recent Progress and Prospects by : Sergio Albeverio

Download or read book SPDE in Hydrodynamics: Recent Progress and Prospects written by Sergio Albeverio. This book was released on 2009-09-03. Available in PDF, EPUB and Kindle. Book excerpt: 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.

SPDE in Hydrodynamic

2008 Hydrodynamics
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Author :
Release : 2008
Genre : Hydrodynamics
Kind : eBook
Book Rating : /5 ( reviews)

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Book Synopsis SPDE in Hydrodynamic by :

Download or read book SPDE in Hydrodynamic written by . This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt:

Hydrodynamic stability theory

2013-04-17 Mathematics
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Release : 2013-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 148/5 ( reviews)

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Book Synopsis Hydrodynamic stability theory by : A. Georgescu

Download or read book Hydrodynamic stability theory written by A. Georgescu. This book was released on 2013-04-17. Available in PDF, EPUB and Kindle. Book excerpt: The great number of varied approaches to hydrodynamic stability theory appear as a bulk of results whose classification and discussion are well-known in the literature. Several books deal with one aspect of this theory alone (e.g. the linear case, the influence of temperature and magnetic field, large classes of globally stable fluid motions etc.). The aim of this book is to provide a complete mathe matical treatment of hydrodynamic stability theory by combining the early results of engineers and applied mathematicians with the recent achievements of pure mathematicians. In order to ensure a more operational frame to this theory I have briefly outlined the main results concerning the stability of the simplest types of flow. I have attempted several definitions of the stability of fluid flows with due consideration of the connections between them. On the other hand, as the large number of initial and boundary value problems in hydrodynamic stability theory requires appropriate treat ments, most of this book is devoted to the main concepts and methods used in hydrodynamic stability theory. Open problems are expressed in both mathematical and physical terms.

Analysis of Hydrodynamic Models

2017-04-25 Mathematics
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Release : 2017-04-25
Genre : Mathematics
Kind : eBook
Book Rating : 801/5 ( reviews)

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Book Synopsis Analysis of Hydrodynamic Models by : Peter Constantin

Download or read book Analysis of Hydrodynamic Models written by Peter Constantin. This book was released on 2017-04-25. Available in PDF, EPUB and Kindle. Book excerpt: Analysis of Hydrodynamic Models presents a concise treatment of a number of partial differential equations of hydrodynamic origin, including the incompressible Euler equations, SQG, Boussinesq, incompressible porous medium, and Oldroyd-B. The author?s approach is based on properties of the particle trajectory maps and on analysis of the back-and-forth passage between the Lagrangian and the Eulerian descriptions. This concise, unified approach brings readers up to date on current open problems. This book is intended for graduate students and junior researchers in mathematics. This book is intended for graduate students and junior researchers in mathematics.

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