|
|
|
|
|
|
|
|
1. |
Record Nr. |
UNINA9910146301603321 |
|
|
Autore |
Bornemann Folkmar <1967-> |
|
|
Titolo |
Homogenization in time of singularly perturbed mechanical system / / Folkmar Bornemann |
|
|
|
|
|
|
|
Pubbl/distr/stampa |
|
|
Berlin : , : Springer-Verlag, , [1998] |
|
©1998 |
|
|
|
|
|
|
|
|
|
ISBN |
|
|
|
|
|
|
Edizione |
[1st ed. 1998.] |
|
|
|
|
|
Descrizione fisica |
|
1 online resource (XIV, 158 p.) |
|
|
|
|
|
|
Collana |
|
Lecture notes in mathematics ; ; 1687 |
|
|
|
|
|
|
Disciplina |
|
|
|
|
|
|
Soggetti |
|
Differentiable dynamical systems |
Homogenization (Differential equations) |
|
|
|
|
|
|
|
|
Lingua di pubblicazione |
|
|
|
|
|
|
Formato |
Materiale a stampa |
|
|
|
|
|
Livello bibliografico |
Monografia |
|
|
|
|
|
Note generali |
|
Bibliographic Level Mode of Issuance: Monograph |
|
|
|
|
|
|
Nota di bibliografia |
|
Includes bibliographical references and index. |
|
|
|
|
|
|
Nota di contenuto |
|
Homogenization of natural mechanical systems with a strong constraining potential -- Applications -- Adiabatic results in quantum theory and quantum-classical coupling. |
|
|
|
|
|
|
|
|
Sommario/riassunto |
|
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. |
|
|
|
|
|
|
|