Coherent Structures in Granular Crystals: From Experiment and Modelling to Computation and Mathematical Analysis

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Download Coherent Structures in Granular Crystals: From Experiment and Modelling to Computation and Mathematical Analysis written by Christopher Chong, Panayotis G. Kevrekidis in PDF format. This book is under the category Physics and bearing the isbn/isbn13 number 3319778838/9783319778839. You may reffer the table below for additional details of the book.

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Description

Coherent Structures in Granular Crystals: From Experiment and Modelling to Computation and Mathematical Analysis (PDF) summarizes many 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 combination 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 evaluate them. While the emphsis is on principal one-dimensional solutions such as traveling waves; shock waves; and discrete breathers; numerous extensions of the discussed patterns; e.g.; in two dimensions; heterogeneous settings; chains with defects; and other recent developments are discussed. The focus on the subject was motivated by models in condensed matter physics; ferroelectrics; high energy physics; and statistical mechanics; leading to developments in mathematical analysis; numerical computation and insights on the physical aspects of the model. The ebook appeals to researchers in the field; and also for graduate and advanced undergraduate students. It will be of interest to physicists; mathematicians and engineers alike.

NOTE: The product only includes the ebook; Coherent Structures in Granular Crystals: From Experiment and Modelling to Computation and Mathematical Analysis in PDF. No access codes are included.

Additional information

book-author

Christopher Chong, Panayotis G. Kevrekidis

publisher

Springer

file-type

PDF

pages

108 pages

language

English

asin

B07BSYNHRL

isbn10

3319778838

isbn13

9783319778839

Table of contents


Table of contents :
Front Matter ….Pages i-xii
Introduction and Motivation of Models (Christopher Chong, Panayotis G. Kevrekidis)….Pages 1-11
Dispersive Shock Waves (Christopher Chong, Panayotis G. Kevrekidis)….Pages 13-22
Traveling Waves (Christopher Chong, Panayotis G. Kevrekidis)….Pages 23-39
Discrete (Dark) Breathers (Christopher Chong, Panayotis G. Kevrekidis)….Pages 41-49
Heterogeneous Media (Christopher Chong, Panayotis G. Kevrekidis)….Pages 51-67
Media with Onsite Forces: The Newton’s Cradle and Beyond (Christopher Chong, Panayotis G. Kevrekidis)….Pages 69-76
Higher Dimensional Lattices (Christopher Chong, Panayotis G. Kevrekidis)….Pages 77-83
Back Matter ….Pages 85-94

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