Coherent Structures in Granular Crystals
From Experiment and Modelling to Computation and Mathematical Analysis
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Beschreibung
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.
Focuses on the junction between mathematical analysis, numerical computation and physical experiments on wave structures
Combines mathematical physics and materials engineering
Accessible to both researchers and graduate students, and even advanced undergraduates
Reports on recent key developments of the field
Focuses on the junction between mathematical analysis, numerical computation and physical experiments on wave structures Combines mathematical physics and materials engineering Accessible to both researchers and graduate students, and even advanced undergraduates Reports on recent key developments of the field
Autor*in
Christopher Chong
Themen in »Coherent Structures in Granular Crystals«
Traveling Waves Discrete Breathers Shock Waves Fermi-Pasta-Ulam Models Heterogeneous Media Hertzian Contacts