Mathematical Aspects of Fluid Mechanics

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James C. Robinson (University of Warwick) José L. Rodrigo (University of Warwick)

Mathematical Aspects of Fluid Mechanics

James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland)

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English

Cambridge University Press
18 October 2012

Differential calculus & equations; Integral calculus & equations; Fluid mechanics; Engineering thermodynamics; Mechanics of fluids

Series: London Mathematical Society Lecture Note Series

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.

Edited by: James C. Robinson (University of Warwick), José L. Rodrigo (University of Warwick), Witold Sadowski (Uniwersytet Warszawski, Poland)
Imprint: Cambridge University Press
Country of Publication: United Kingdom
Volume: 402
Dimensions: Height: 226mm, Width: 152mm, Spine: 18mm
Weight: 410g
ISBN: 9781107609259
ISBN 10: 1107609259
Series: London Mathematical Society Lecture Note Series
Pages: 276
Publication Date: 18 October 2012
Audience: Professional and scholarly , Undergraduate
Format: Paperback
Publisher's Status: Active

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. 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.

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. José L. Rodrigo is an Associate Professor in Mathematics at the University of Warwick. Witold Sadowksi is an Assistant Professor at the University of Warsaw.