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Mathematics - Analysis | Homogenization in Time of Singularly Perturbed Mechanical Systems

Homogenization in Time of Singularly Perturbed Mechanical Systems

Series: Lecture Notes in Mathematics, Vol. 1687

Bornemann, Folkmar

1998, XIV, 158 p.

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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.

Content Level » Research

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

Related subjects » Analysis - Chemistry - Complexity - Computational Science & Engineering - Dynamical Systems & Differential Equations

Table of contents 

Homogenization of natural mechanical systems with a strong constraining potential.- Applications.- Adiabatic results in quantum theory and quantum-classical coupling.

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