ENGLISH

Homogenization in Time of Singularly Perturbed Mechanical Systems

By Folkmar Bornemann (auth.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
1998
ISBN
3540644474, 9783540644477
DOI
10.1007/BFb0092091
ISSN
0075-8434
LCC
QA3 .L28 no. 1687,QA614.8 .L28 no. 1687
Open Library ID
OL360262M
Language
english
Format
DJVU
Filesize
997 kB (1021037 bytes)
Series
Lecture Notes in Mathematics 1687
Edition
1
Pages
158\165
Topic
Physics
Library
Kolxo3
DPI
300
Scanned
yes
Time added
2009-07-20 03:45:11
Dynamical Systems and Ergodic Theory; Complexity;

Description

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.

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