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Coherent structures in granular crys...

Chong, Christopher.

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Coherent structures in granular crystals = from experiment and modelling to computation and mathematical analysis /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Coherent structures in granular crystals/ by Christopher Chong, Panayotis G. Kevrekidis.
Reminder of title:	from experiment and modelling to computation and mathematical analysis /
Author:	Chong, Christopher.
other author:	Kevrekidis, Panayotis G.
Published:	Cham :Springer International Publishing : : 2018.,
Description:	xii, 94 p. :ill., digital ;24 cm.
[NT 15003449]:	Introduction and Motivation of Models -- Shock Waves -- Traveling Solitary Waves -- Discrete (Dark) Breathers -- Heterogeneous Media -- Variations on the Theme -- Conclusions and Outlook.
Contained By:	Springer eBooks
Subject:	Granular materials - Mechanical properties. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-77884-6
ISBN:	9783319778846

Coherent structures in granular crystals = from experiment and modelling to computation and mathematical analysis /
Chong, Christopher.

Coherent structures in granular crystalsfrom experiment and modelling to computation and mathematical analysis /[electronic resource] :by Christopher Chong, Panayotis G. Kevrekidis. - Cham :Springer International Publishing :2018. - xii, 94 p. :ill., digital ;24 cm. - SpringerBriefs in physics,2191-5423. - SpringerBriefs in physics..

Introduction and Motivation of Models -- Shock Waves -- Traveling Solitary Waves -- Discrete (Dark) Breathers -- Heterogeneous Media -- Variations on the Theme -- Conclusions and Outlook.

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.

ISBN: 9783319778846

Standard No.: 10.1007/978-3-319-77884-6doiSubjects--Topical Terms:

833714
Granular materials
--Mechanical properties.

LC Class. No.: TA418.78 / .C466 2018

Dewey Class. No.: 620.43

Coherent structures in granular crystals = from experiment and modelling to computation and mathematical analysis /
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245 1 0 $a Coherent structures in granular crystals $h [electronic resource] : $b from experiment and modelling to computation and mathematical analysis / $c by Christopher Chong, Panayotis G. Kevrekidis.
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505 0 $a Introduction and Motivation of Models -- Shock Waves -- Traveling Solitary Waves -- Discrete (Dark) Breathers -- Heterogeneous Media -- Variations on the Theme -- Conclusions and Outlook.
520 $a 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.
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