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Coherent Structures in Granular Crystals

From Experiment and Modelling to Computation and Mathematical Analysis

  • Christopher Chong
  • Panayotis G. Kevrekidis

Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Christopher Chong, Panayotis G. Kevrekidis
    Pages 1-11
  3. Christopher Chong, Panayotis G. Kevrekidis
    Pages 13-22
  4. Christopher Chong, Panayotis G. Kevrekidis
    Pages 23-39
  5. Christopher Chong, Panayotis G. Kevrekidis
    Pages 41-49
  6. Christopher Chong, Panayotis G. Kevrekidis
    Pages 51-67
  7. Christopher Chong, Panayotis G. Kevrekidis
    Pages 69-76
  8. Christopher Chong, Panayotis G. Kevrekidis
    Pages 77-83
  9. Back Matter
    Pages 85-94

About this book

Introduction

This book summarizes a number of fundamental developments at the interface of granular crystals and the mathematical and computational analysis of some of their key localized nonlinear wave solutions. The subject presents a blend of the appeal of granular crystals as a prototypical engineering tested for a variety of diverse applications, the novelty in the nonlinear physics of its coherent structures, and the tractability of a series of mathematical and computational techniques to analyse them. While the focus is on principal one-dimensional solutions such as shock waves, traveling waves, and discrete breathers, numerous extensions of the discussed patterns, e.g., in two dimensions, chains with defects, heterogeneous settings, and other recent developments are discussed. The book appeals to researchers in the field, as well as for graduate and advanced undergraduate students. It will be of interest to mathematicians, physicists and engineers alike.

Keywords

Traveling Waves Discrete Breathers Shock Waves Fermi-Pasta-Ulam Models Heterogeneous Media Hertzian Contacts

Authors and affiliations

  • Christopher Chong
    • 1
  • Panayotis G. Kevrekidis
    • 2
  1. 1.Bowdoin CollegeBrunswickUSA
  2. 2.University of MassachusettsAmherstUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-319-77884-6
  • Copyright Information The Author(s) 2018
  • Publisher Name Springer, Cham
  • eBook Packages Physics and Astronomy
  • Print ISBN 978-3-319-77883-9
  • Online ISBN 978-3-319-77884-6
  • Series Print ISSN 2191-5423
  • Series Online ISSN 2191-5431
  • Buy this book on publisher's site
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