Lectures on Fluid Dynamics: A Particle Theorist's View of Supersymmetric, Non-Abelian, Noncommutative Fluid Mechanics and d-Branes / Edition 1

by Roman Jackiw

Overview

The Centre de recherches mathematiques (CRM) was created in 1968 by the Universite de Montreal to promote research in the mathematical sciences. It is now a national institute that hosts several groups and holds special theme years, summer schools, workshops, and a post-doctoral program. The focus of its scientific activities ranges from pure to applied mathematics and includes statistics, theoretical computer science, mathematical methods in biology and life sciences, and mathematical and theoretical physics. The CRM also promotes collaboration between mathematicians and industry. It is subsidized by the Nat­ ural Sciences and Engineering Research Council of Canada, the Fonds FCAR of the Province of Quebec, the Canadian Institute for Advanced Research, and has private endowments. Current activities, fellowships, and annual reports can be found on the CRM Web page at www. CRM. UMontreal. CA. The CRM Series in Mathematical Physics includes monographs, lecture notes, and proceedings based on research pur­ sued and on events held at the CRM. Yvan Saint-Aubin Montreal Preface This monograph is derived from a series of six lectures which were given at the Centre de recherches mathematiques (CRM) in Montreal, in March and June 2000, while the author was holder of the Aisenstadt Chair. Precis During the March 2000 meeting of the Workshop on Strings, Du­ ality, and Geometry in Montreal, Canada, three lectures were delivered on topics in fluid mechanics, while the author was holder of the Aisenstadt Chair.

Product Details

ISBN-13:	9780387954226
Publisher:	Springer New York
Publication date:	05/17/2002
Series:	CRM Series in Mathematical Physics
Edition description:	2002
Pages:	114
Product dimensions:	6.10(w) x 9.25(h) x 0.01(d)

Table of Contents

1 Introduction.- 2 Classical Equations.- 3 Specific Models.- 4 Common Ancestry: The Nambu—Goto Action.- 5 Supersymmetric Generalization.- 6 One-Dimensional Case.- 7 Toward a Non-Abelian Fluid Mechanics.- 8 Noncommutative Fluid Mechanics.- Solutions to Problems.- References.

Editorial Reviews

From the reviews:

TECHNOMETRICS

"Bringing the 1E up to date has added more than 200 pages of additional text. Anyone seriously involved with the application of [principle component analysis] will certainly want to purchase a copy…Seldom had such a wealth of material on a single topic in statistics appeared in one book. Goodall (1998) noted that there ‘should be something of interest for even the most seasoned and experiences practitioner of multivariate statistics’ (p. 352). All that material has gotten a whole lot more comprehensive here in this new edition. Goodall (1998) also labeled the book ‘a good read’. Now it may be a little heavy for that purpose, but it certainly is a fantastic reference book."

"This book by Jackiw differs significantly from what is traditionally understood as ‘lectures on fluid dynamics’. The author’s aim is to show that the apparatus, methods, language, etc. developed for physics of particles can be successfully applied to fluid mechanics. … everyone interested in fundamentals and deep theoretical approach to fluid mechanics should become acquainted with it." (K Piechor, Applied Mechanics Reviews, Vol. 56 (3), 2003)

From the Publisher