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The N-vortex problem : analytical techniques

Author: Paul K Newton
Publisher: New York : Springer, ©2001.
Series: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 145.
Edition/Format:   Print book : EnglishView all editions and formats
Summary:
"This book is an introduction to current research on the N-vortex problem of fluid mechanics. Its goal is to describe the Hamiltonian aspects of vortex dynamics so that graduate students and researchers can use the book as an entry point into the rather large literature on integrable and nonintegrable vortex problems within the broader context of dynamical systems theory. It is as self-contained as possible; the  Read more...
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Material Type: Internet resource
Document Type: Book, Internet Resource
All Authors / Contributors: Paul K Newton
ISBN: 0387952268 9780387952260 1441929169 9781441929167
OCLC Number: 45393004
Description: xvii, 415 pages : illustrations ; 25 cm.
Contents: Introduction --
N vortices in the plane --
Domains with boundaries --
Vortex motion on a sphere --
Geometric phases --
Statistical point vortex theories --
Vortex patch models --
Vortex filament models.
Series Title: Applied mathematical sciences (Springer-Verlag New York Inc.), v. 145.
Responsibility: Paul K. Newton.
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Abstract:

This text is an introduction to current research on the N- vortex problem of fluid mechanics. It describes the Hamiltonian aspects of vortex dynamics as an entry point into the rather large  Read more...

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From the reviews:ZENTRALBLATT MATH"Exercises given at the end of each chapter could be very useful to the readers to enhance their knowledge...the first three chapters deal with the basic classical Read more...

 
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