Mathematical Foundation of Turbulent Viscous Flows

Name: Mathematical Foundation of Turbulent Viscous Flows
SKU: 5810631
Price: 170.99 AUD
Availability: InStock

Lectures given at the C.I.M.E. Summer School held in Martina Franca, Italy, September 1-5, 2003

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Format:

Paperback / softback

Series:

C.I.M.E. Foundation Subseries

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Description

Constantin presents the Euler equations of ideal incompressible fluids and the blow-up problem for the Navier-Stokes equations of viscous fluids, describing major mathematical questions of turbulence theory. These are connected to the Caffarelli-Kohn-Nirenberg theory of singularities for the incompressible Navier-Stokes equations, explained in Gallavotti's lectures. Kazhikhov introduces the theory of strong approximation of weak limits via the method of averaging, applied to Navier-Stokes equations. Y. Meyer focuses on nonlinear evolution equations and related unexpected cancellation properties, either imposed on the initial condition, or satisfied by the solution itself, localized in space or in time variable. Ukai discusses the asymptotic analysis theory of fluid equations, the Cauchy-Kovalevskaya technique for the Boltzmann-Grad limit of the Newtonian equation, the multi-scale analysis, giving compressible and incompressible limits of the Boltzmann equation, and the analysis of their initial layers.

Release date Australia

January 10th, 2006

Author

Audience

Professional & Vocational

Contributors

Edited by Marco Cannone
Edited by Tetsuro Miyakawa

Illustrations

IX, 264 p.

Pages

264

Series

C.I.M.E. Foundation Subseries

Dimensions

155x235x15

ISBN-13

9783540285861

Product ID

5810631

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