Geometry, Mechanics, and Dynamics

Edited by Paul Newton (), Philip Holmes () and Alan Weinstein ()

in Springer Books from Springer

Date: 2002
ISBN: 978-0-387-21791-8
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Chapters in this book:

Ch 1 Some Open Problems in Elasticity

John M. Ball

Ch 2 Finite Elastoplasticity Lie Groups and Geodesics on SL(d)

Alexander Mielke

Ch 3 Asynchronous Variational Integrators

A. Lew and M. Ortiz

Ch 4 Euler-Poincaré Dynamics of Perfect Complex Fluids

Darryl D. Holm

Ch 5 The Lagrangian Averaged Euler (LAE-α) Equations with Free-Slip or Mixed Boundary Conditions

Steve Shkoller

Ch 6 Nearly Inviscid Faraday Waves

Edgar Knobloch and José M. Vega

Ch 7 The Variational Multiscale Formulation of LES with Application to Turbulent Channel Flows

Thomas J. R. Hughes and Assad A. Oberai

Ch 8 Patterns of Oscillation in Coupled Cell Systems

Martin Golubitsky and Ian Stewart

Ch 9 Simple Choreographic Motions of N Bodies: A Preliminary Study

Alain Chenciner, Joseph Gerver, Richard Montgomery and Carles Simó

Ch 10 On Normal Form Computations

Jürgen Scheurle and Sebastian Walcher

Ch 11 The Optimal Momentum Map

Juan-Pablo Ortega and Tudor S. Ratiu

Ch 12 Combinatorial Formulas for Products of Thom Classes

Victor Guillemin and Catalin Zara

Ch 13 Gauge Theory of Small Vibrations in Polyatomic Molecules

Robert G. Littlejohn and Kevin A. Mitchell

Ch 14 Symmetries, Conservation Laws, and Control

Anthony M. Bloch and Naomi Ehrich Leonard

Ch 15 Conformal Volume Collapse of 3-Manifolds and the Reduced Einstein Flow

Arthur E. Fischer and Vincent Moncrief

Ch 16 On Quantizing Semisimple Basic Algebras, I: sl(2, R)

Mark J. Gotay

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DOI: 10.1007/b97525

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