Lecture Notes in Mathematics

Homogenization in Time of Singularly Perturbed Mechanical Systems

Authors: Bornemann, Folkmar

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About this book

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.

Table of contents (4 chapters)

  • Introduction

    Bornemann, Folkmar

    Pages 1-16

  • Homogenization of natural mechanical systems with a strong constraining potential

    Bornemann, Folkmar

    Pages 17-72

  • Applications

    Bornemann, Folkmar

    Pages 73-88

  • Adiabatic results in quantum theory and quantum-classical coupling

    Bornemann, Folkmar

    Pages 89-114

Buy this book

eBook $29.99
price for USA (gross)
  • ISBN 978-3-540-69784-8
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $39.00
price for USA
  • ISBN 978-3-540-64447-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Homogenization in Time of Singularly Perturbed Mechanical Systems
Authors
Series Title
Lecture Notes in Mathematics
Series Volume
1687
Copyright
1998
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-69784-8
DOI
10.1007/BFb0092091
Softcover ISBN
978-3-540-64447-7
Series ISSN
0075-8434
Edition Number
1
Number of Pages
XIV, 158
Topics