Fluid Mechanics: A Geometrical Point of View

— —

S. G. Rajeev (Professor of Physics and Mathematics, Professor of Physics and Mathematics, University of Rochester)

Fluid Mechanics

A Geometrical Point of View

S. G. Rajeev (Professor of Physics and Mathematics, Professor of Physics and Mathematics, University of Rochester)

$167.95

Hardback

Not in-store but you can order this
How long will it take?

Availability Information

We source books from suppliers in Australia and overseas. For books we don't currently have in stock, the time it takes to get them from our suppliers can vary widely - from a few days to a few months - so we check each book with each supplier to determine the expected time it will take to be supplied to us.

We then advise you accordingly. If the time taken to get any book is too long for you, you can let us know and we will cancel or adjust your order, and refund as required.

To find out the anticipated arrival time for specific items prior to ordering, please contact us by phone or email:

Phone +61 2 9264 3111, or 1800 4 BOOKS (1800 4 26657) if outside Sydney:
option 1 Abbey's Bookshop (Crime, History, Science, Kids & more) • info@abbeys.com.au
option 2 Language Book Centre (ESL & Foreign Languages) • language@abbeys.com.au
option 3 Galaxy Bookshop (Sci-fi, Fantasy, Romance, Graphic Novels) • sf@galaxybooks.com.au

QTY:

English

Oxford University Press
13 September 2018

Geometry; Fluid mechanics; Quantum physics (quantum mechanics & quantum field theory); Mathematical physics; Mechanics of fluids

Fluid Mechanics:

A Geometrical Point of View

emphasizes general principles of physics illustrated by simple examples in fluid mechanics. Advanced mathematics (e.g., Riemannian geometry and

Lie groups) commonly used in other parts of theoretical physics (e.g. General Relativity or High Energy Physics) are explained and applied to fluid mechanics.

This follows on from the author's book Advanced Mechanics (Oxford University Press, 2013).

After introducing the fundamental equations (Euler and Navier-Stokes), the book provides particular cases: ideal and viscous flows, shocks, boundary layers, instabilities, and transients.

A

restrained look at integrable systems (KdV) leads into a formulation of an ideal fluid as a hamiltonian system. Arnold's deep idea, that the instability of a fluid can be understood using the

curvature of the diffeomorphism group, will be explained. Leray's work on regularity of Navier-Stokes solutions, and the modern developments arising from it, will be explained in language for physicists.

Although this is a book on theoretical physics, readers will learn basic numerical methods: spectral and finite difference methods, geometric integrators for ordinary differential equations.

Readers will take a deep dive into chaotic dynamics, using the Smale horse shoe as an example. Aref's work on chaotic advection is explained. The book concludes with a self-contained introduction to renormalization, an idea from high energy physics which is expected to be useful in developing a theory of turbulence.

By: S. G. Rajeev (Professor of Physics and Mathematics Professor of Physics and Mathematics University of Rochester)
Imprint: Oxford University Press
Country of Publication: United Kingdom
Dimensions: Height: 249mm, Width: 176mm, Spine: 20mm
Weight: 676g
ISBN: 9780198805021
ISBN 10: 0198805020
Pages: 272
Publication Date: 13 September 2018
Audience: College/higher education , A / AS level
Format: Hardback
Publisher's Status: Active

S. G. Rajeev was born in Trivandrum, India. He has a B.Sc. degree from the University of Kerala and a Ph. D. from Syracuse University. After a stint as a Postdoctoral Fellow at MIT, he has been on the faculty at the University of Rochester, where he is a Professor of Physics and of Mathematics. He has done research on several topics in high energy physics and quantum gravity: soliton models for hadrons, string theory, renormalization, quantum field theory, and Yang-Mills theories -- but fluid mechanics was his first love.

Reviews for Fluid Mechanics: A Geometrical Point of View

The book is an introduction to fluid mechanics from a theoretical viewpoint. It starts with very basic concepts and proceeds to Euler flow, viscous (Navier-Stokes) flow, shocks, boundary layers, etc. One chapter describes geometric integrators for ordinary differential equations, which preserve symmetries and, therefore, useful properties like conservation laws. * Ilya A. Chernov, zbMath * [This book] resides at the very highest level as an exposition for graduate students in physics and engineering who seek a unified account of classical fluid dynamics and at least pointers into research topics. * Clark D. Jeffries, MathSciNet * Suitable for graduate students in mathematics and physics, this book would serve any student well who is looking for a survey of the field of fluid mechanics or a rigorous review of mathematical techniques in physics. RECOMMENDED * E. Kincanon, Gonzaga University, CHOICE connect *