附註:Volume in honor of the 60th birthday of J.E. Marsden.
Includes bibliographical references and index.
Some open problems in elasticity / John Ball -- Finite elastoplasticity lie groups and geodesics on SL(d) / Alexander Mielke -- Asynchronous variational integrators / Adrian Lew, Michael Ortiz -- Euler-Poincaré dynamics of perfect complex fluids / Darryl D. Holm -- The Lagrangian Averaged Euler (LAE- ) equations with free-slip or mixed boundary conditions / Steve Shkoller -- Nearly inviscid Faraday waves / Edgar Knobloch, José M. Vega -- The variational multiscale formulation of LES with application to turbulent channel flows / Thomas J.R. Hughes, Assad A. Oberai -- Patterns of oscillation in coupled cell systems / Martin Golubitsky, Ian Stewart -- Simple choreographic motions of N bodies: a preliminary study / Alain Chenciner [and others] -- On normal form computations / Jürgen Scheurle, Sebastian Walcher -- The optimal momentum map / Juan-Pablo Ortega, Tudor S. Ratiu -- Combinatorial formulas for products of Thom Classes / Victor Guillemin, Catalin Zara -- Gauge theory of small vibrations in polyatomic molecules / Robert G. Littlejohn, Kevin A. Mitchell -- Symmetries, conservation laws, and control / Anthony M. Bloch, Naomi E. Leonard -- Conformal volume collapse of 3-manifolds and the reduced Einstein flow / Arthur E. Fischer, Vincent Moncrief -- On quantizing semisimple basic algebras, I: sl(2,R) / Mark J. Gotay.
摘要: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.
