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

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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.
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Editorial Reviews

From the Publisher

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 volume is typeset so beautifully in a unified format, that it is satisfying to hold the book and pleasing to look at the articles, as well as to read them. … The volume is worth serious study, and it was well worth the long wait … ." (Darryl Holm, UK Nonlinear News, March, 2003)

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Product Details

  • ISBN-13: 9781441930347
  • Publisher: Springer New York
  • Publication date: 10/9/2011
  • Edition description: Softcover reprint of hardcover 1st ed. 2002
  • Edition number: 1
  • Pages: 571
  • Product dimensions: 6.14 (w) x 9.21 (h) x 1.20 (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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