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Titlebook: Coherent Structures in Granular Crystals; From Experiment and Christopher Chong,Panayotis G. Kevrekidis Book 2018 The Author(s) 2018 Trave

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書目名稱Coherent Structures in Granular Crystals
副標(biāo)題From Experiment and
編輯Christopher Chong,Panayotis G. Kevrekidis
視頻videohttp://file.papertrans.cn/230/229229/229229.mp4
概述Focuses on the junction between mathematical analysis, numerical computation and physical experiments on wave structures.Combines mathematical physics and materials engineering.Accessible to both rese
叢書名稱SpringerBriefs in Physics
圖書封面Titlebook: Coherent Structures in Granular Crystals; From Experiment and  Christopher Chong,Panayotis G. Kevrekidis Book 2018 The Author(s) 2018 Trave
描述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 emphasis 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 book appeals to researchers in the field, as well as for graduate and advanced undergraduate students. It will be of interest to mathematicians,
出版日期Book 2018
關(guān)鍵詞Traveling Waves; Discrete Breathers; Shock Waves; Fermi-Pasta-Ulam Models; Heterogeneous Media; Hertzian
版次1
doihttps://doi.org/10.1007/978-3-319-77884-6
isbn_softcover978-3-319-77883-9
isbn_ebook978-3-319-77884-6Series ISSN 2191-5423 Series E-ISSN 2191-5431
issn_series 2191-5423
copyrightThe Author(s) 2018
The information of publication is updating

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Discrete (Dark) Breathers,ted that they might be generic for nonlinear lattices of the Klein–Gordon (i.e., onsite nonlinearity) and FPUT (i.e., intersite nonlinearity) types. Then, the work of?(MacKay, Aubry in Nonlinearity 7:1623, 1994) provided a mathematical foundation for this expectation illustrating that under (fairly
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