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Mathematical aspects of fluid mechanics

Author: James C Robinson; José Luis Rodrigo Diez; Witold Sadowski, (Mathematician)
Publisher: Cambridge, UK : Cambridge University Press, 2012.
Series: London Mathematical Society lecture note series, 402.
Edition/Format:   Book : EnglishView all editions and formats
Database:WorldCat
Summary:
"The rigorous mathematical theory of the equations of fluid dynamics has been a focus of intense activity in recent years. This volume is the product of a workshop held at the University of Warwick to consolidate, survey and further advance the subject. The Navier-Stokes equations feature prominently: the reader will find new results concerning feedback stabilisation, stretching and folding, and decay in norm of  Read more...
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Details

Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: James C Robinson; José Luis Rodrigo Diez; Witold Sadowski, (Mathematician)
ISBN: 9781107609259 1107609259
OCLC Number: 816481793
Description: xv, 258 p. : ill. ; 23 cm.
Contents: 1. Towards fluid equations by approximate deconvolution models / L. C. Berselli --
2. On flows of fluids described by an implicit constitutive equation characterized by a maximal monotone graph / M. Bulíček, P. Gwiazda, J. Málek, K. R. Rajagopal and A. Świerczewska-Gwiazda --
3. A continuous model for turbulent energy cascade / A. Cheskidov, R. Shvydkoy and S. Friedlander --
4. Remarks on complex fluid models / P. Constantin --
5. A naive parametrization for the vortex-sheet problem / A. Castro, D. Córdoba and F. Gancedo --
6. Sharp and almost-sharp fronts for the SQG equation / C. L. Fefferman --
7. Feedback stabilization for the Navier-Stokes equations: theory and calculations / A. V. Fursikov and A. A. Kornev --
8. Interacting vortex pairs in inviscid and viscous planar flows / T. Gallay --
9. Stretching and folding diagnostics in solutions of the three-dimensional Euler and Navier-Stokes equations / J. D. Gibbon and D. D. Holm --
10. Exploring symmetry plane conditions in numerical Euler solutions / R. M. Kerr and M. D. Bustamante --
11. On the decay of solutions of the Navier-Stokes system with potential forces / I. Kukavica --
12. Leray-Hopf solutions to Navier-Stokes equations with weakly converging initial data / G. Seregin.
Series Title: London Mathematical Society lecture note series, 402.
Responsibility: edited by James C. Robinson, José L. Rodrigo, Witold Sadowski.

Abstract:

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.  Read more...
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