Geometry, Mechanics, and Dynamics: Volume in Honor of the 60th Birthday of J. E. Marsden / Edition 1

Geometry, Mechanics, and Dynamics: Volume in Honor of the 60th Birthday of J. E. Marsden / Edition 1

by Paul Newton
     
 

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ISBN-10: 0387955186

ISBN-13: 9780387955186

Pub. Date: 07/31/2002

Publisher: Springer New York

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

Overview

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 throughout is the use of geometric methods that serve to unify diverse disciplines and bring a wide variety of scientists and mathematicians together in a way that enhances dialogue and encourages cooperation. This book may serve as a guide to rapidly evolving areas as well as a resource both for students who want to work in one of these fields and practitioners who seek a broader view.

Product Details

ISBN-13:
9780387955186
Publisher:
Springer New York
Publication date:
07/31/2002
Edition description:
2002
Pages:
571
Product dimensions:
6.10(w) x 9.25(h) x 0.05(d)

Table of Contents

I Elasticity and Analysis
• Some Open Problems
• Finite Elastoplasticity Lie Groups and Geodesics on SL *Asynchronous Variational Integrators
• II Fluid Mechanics
• Euler-Poincare' Dynamics of Perfect Complex Fluids
• The Lagrangian Averaged Euler Equations with Free-Slip or Mixed Boundary Conditions
• Nearly Inviscid Faraday Waves
• The Variational Multiscale Formulation of LES with Application to Turbulent Channel Flows
• III Dynamical Systems
• Patterns of Oscillation in Coupled Cell Systems
• Simple Choreographic Motions of N Bodies: A Preliminary Study
• On Normal Form Computations
• IV Geometric Mechanics
• The Optimal Momentum Map
• Combinatorial Formulas for Products of Thom Classes
• Gauge Theory of Small Vibrations in Polyatomic Molecules
• V 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
• VII Jerrold Marsden, 1942-
• Curriculum Vitae
• Some Research Highlights
• Graduate Students and Post Doctoral Scholars
• Publications
• Contributors

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