Mathematical Aspects of Fluid Mechanics
Published on 18. October 2012
Book
Paperback/Softback
276 pages
978-1-107-60925-9 (ISBN)
Description
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 solutions to these fundamental equations of fluid motion. Other topics covered include new models for turbulent energy cascade, existence and uniqueness results for complex fluids and certain interesting solutions of the SQG equation. The result is an accessible collection of survey articles and more traditional research papers that will serve both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.
More details
Series
Language
English
Place of publication
Cambridge
United Kingdom
Target group
Professional and scholarly
Product notice
Paperback (trade)
Illustrations
3 Tables, black and white; 3 Halftones, unspecified; 14 Line drawings, unspecified
Dimensions
Height: 229 mm
Width: 152 mm
Thickness: 16 mm
Weight
452 gr
ISBN-13
978-1-107-60925-9 (9781107609259)
Copyright in bibliographic data and cover images is held by Nielsen Book Services Limited or by the publishers or by their respective licensors: all rights reserved.
Schweitzer Classification
Other editions
Additional editions
James C. Robinson | Jose L. Rodrigo | Witold Sadowski
Mathematical Aspects of Fluid Mechanics
E-Book
11/2012
1st Edition
Cambridge University Press
€55.99
Available for download
James C. Robinson
Mathematical Aspects of Fluid Mechanics
E-Book
10/2012
Cambridge University Press
€46.99
Available for download
Persons
James C. Robinson is a Professor of Mathematics at the University of Warwick. He is an EPSRC Leadership Fellow and has previously held a Royal Society University Research Fellowship. Jose L. Rodrigo is an Associate Professor in Mathematics at the University of Warwick. Witold Sadowksi is an Assistant Professor at the University of Warsaw.
Content
Preface; List of contributors; 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. Bulicek, P. Gwiazda, J. Malek, K. R. Rajagopal and A. Swierczewska-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. Cordoba 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.