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Geometry, mechanics, and dynamics : volume in honor of the 60th birthday of J.E. Marsden

Author: Jerrold E Marsden; Paul K Newton; Philip Holmes; Alan Weinstein
Publisher: New York : Springer, ©2002.
Edition/Format:   eBook : Document : Conference publication : EnglishView all editions and formats
Summary:
This volume aims to acknowledge J.E. Marsden's influence as a teacher, propagator of new ideas, and mentor of young talent. It presents both survey articles and research articles in the fields that represent the main themes of his work, including elesticity and analysis, fluid mechanics, dynamical systems theory, geometric mechanics, geometric control theory, and relativity and quantum mechanics. The common thread  Read more...
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Genre/Form: Electronic books
Conference papers and proceedings
Congresses
Additional Physical Format: Print version:
Geometry, mechanics, and dynamics.
New York : Springer, ©2002
(DLC) 2002070740
Material Type: Conference publication, Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Jerrold E Marsden; Paul K Newton; Philip Holmes; Alan Weinstein
ISBN: 9780387955186 0387955186 0387217916 9780387217918 1280009888 9781280009884
OCLC Number: 55663863
Description: 1 online resource (xvii, 571 pages) : illustrations
Contents: Elasticity and Analysis --
Some Open Problems in Elasticity --
Finite Elastoplasticity Lie Groups and Geodesics on SL(d) --
Asynchronous Variational Integrators --
Fluid Mechanics --
Euler-Poincaré Dynamics of Perfect Complex Fluids --
The Lagrangian Averaged Euler (LAE-?) Equations with Free-Slip or Mixed Boundary Conditions --
Nearly Inviscid Faraday Waves --
The Variational Multiscale Formulation of LES with Application to Turbulent Channel Flows --
Dynamical Systems --
Patterns of Oscillation in Coupled Cell Systems --
Simple Choreographic Motions of N Bodies: A Preliminary Study --
On Normal Form Computations --
Geometric Mechanics --
The Optimal Momentum Map --
Combinatorial Formulas for Products of Thom Classes --
Gauge Theory of Small Vibrations in Polyatomic Molecules --
Geometric Control --
Symmetries, Conservation Laws, and Control --
Relativity and Quantum Mechanics --
Conformal Volume Collapse of 3-Manifolds and the Reduced Einstein Flow --
On Quantizing Semisimple Basic Algebras, I: sl(2, R).
Responsibility: Paul Newton, Philip Holmes, Alan Weinstein, editors.

Abstract:

It presents both survey and research articles in the several ?elds that represent the main themes of Jerry's work, including elasticity and analysis, ?uid mechanics, dynamical systems theory, g-  Read more...

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From the reviews:"Geometric Mechanics (GM) is a basic way of thinking ... . most of the papers are very accessible with long introductions and good surveys of other contributions. ... Finally, the Read more...

 
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