Mathematical Aspects of Fluid Mechanics [Paperback]

A selection of surveys and original research papers in mathematical fluid mechanics arising from a 2010 workshop held in Warwick.This volume contains a selection of survey articles and original research papers concerned with the rigorous mathematical theory of fluid mechanics, written by leading researchers. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.This volume contains a selection of survey articles and original research papers concerned with the rigorous mathematical theory of fluid mechanics, written by leading researchers. The book serves both as a helpful overview for graduate students new to the area and as a useful resource for more established researchers.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 NavierStokes 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.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. Bul?1ek, P. Gwiazda, J. M?lek, K. R. Rajagopal and A. Zwierczewska-Gwiazda; 3. A continuous model for turbulent energy casclÃ9