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Homogenization in Time of Singularly Perturbed Mechanical Systems

  • Authors
  • Folkmar┬áBornemann

Part of the Lecture Notes in Mathematics book series (LNM, volume 1687)

Table of contents

  1. Front Matter
    Pages I-XII
  2. Folkmar Bornemann
    Pages 1-16
  3. Folkmar Bornemann
    Pages 73-88
  4. Back Matter
    Pages 115-156

About this book

Introduction

This book is about the explicit elimination of fast oscillatory scales in dynamical systems, which is important for efficient computer-simulations and our understanding of model hierarchies. The author presents his new direct method, homogenization in time, based on energy principles and weak convergence techniques. How to use this method is shown in several general cases taken from classical and quantum mechanics. The results are applied to special problems from plasma physics, molecular dynamics and quantum chemistry. Background material from functional analysis is provided and explained to make this book accessible for a general audience of graduate students and researchers.

Keywords

dynamical systems elimination of fast scales homogenization mechanical system mechanics model molecular dynamics numerical simulation perturbation simulation singular perturbation weak convergence

Bibliographic information

  • DOI https://doi.org/10.1007/BFb0092091
  • Copyright Information Springer-Verlag Berlin Heidelberg 1998
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-540-64447-7
  • Online ISBN 978-3-540-69784-8
  • Series Print ISSN 0075-8434
  • Series Online ISSN 1617-9692
  • Buy this book on publisher's site