عنوان

Coherent structures in granular crystals :

شابک

3319778846

شابک

9783319778846

شابک اشتباه

3319778838

شابک اشتباه

9783319778839

عنوان اصلي

Coherent structures in granular crystals :

نام عام مواد

[Book]

ساير اطلاعات عنواني

from experiment and modelling to computation and mathematical analysis /

نام نخستين پديدآور

Christopher Chong, Panayotis G. Kevrekidis.

محل نشرو پخش و غیره

Cham, Switzerland :

نام ناشر، پخش کننده و غيره

Springer,

تاریخ نشرو بخش و غیره

2018.

نام خاص و کميت اثر

1 online resource

عنوان فروست

SpringerBriefs in physics

متن يادداشت

Includes bibliographical references.

متن يادداشت

Intro; Preface; Acknowledgements; Contents; 1 Introduction and Motivation of Models; 1.1 Dynamics of Hertzian Beads; 1.2 The Linear Discrete Wave Equation; 1.3 The Nonlinear States: Dispersive Shock Waves, Traveling Solitary Waves, and Discrete Breathers; References; 2 Dispersive Shock Waves; 2.1 Overview; 2.2 Theoretical Analysis of Shock Waves; 2.3 Prototypical Numerical Computations; 2.4 Outlook; References; 3 Traveling Waves; 3.1 Overview; 3.2 Traveling Waves With Precompression: The KdV and Toda Limits; 3.3 Traveling Waves Without Precompression I: The Continuum Limit.

متن يادداشت

3.4 Traveling Waves Without Precompression II: Asymptotic and Numerically Exact ResultsReferences; 4 Discrete (Dark) Breathers; 4.1 Discrete Breathers: Overview and Theoretical Analysis; 4.2 Connection with Experimental Results; References; 5 Heterogeneous Media; 5.1 Overview; 5.2 Traveling Solitary Waves in Heterogeneous Chains; 5.3 From Isolated Defect Modes to Bright Breathers in Dimer Chains; References; 6 Media with Onsite Forces: The Newton's Cradle and Beyond; 6.1 Breathers in the Newton's Cradle; 6.2 Solitary Waves and Breathers in Locally Resonant Granular Chains; References.

متن يادداشت

7 Higher Dimensional Lattices7.1 Overview; 7.2 Conical Diffraction in the Hexagonal Packing; 7.3 Other Work in Higher Dimensional Lattices and Future Directions; References; Appendix; A.1 Numerical Computation of Traveling Solitary Waves and Their Stability; A.2 Numerical Computation of Breathers and Their Stability; A.3 Derivation of the Nonlinear Schrödinger Equation; References.

بدون عنوان

0

بدون عنوان

8

بدون عنوان

8

متن يادداشت

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.

منبع سفارش / آدرس اشتراک

Springer Nature

شماره انبار

com.springer.onix.9783319778846

عنوان

Coherent structures in granular crystals.

شماره استاندارد بين المللي کتاب و موسيقي

9783319778839

موضوع مستند نشده

Crystals-- Mechanical properties.

موضوع مستند نشده

Granular materials-- Mechanical properties.

موضوع مستند نشده

Granular materials-- Mechanical properties.

موضوع مستند نشده

Materials science.

موضوع مستند نشده

Materials-- States of matter.

موضوع مستند نشده

Mathematical modelling.

موضوع مستند نشده

Mathematical physics.

موضوع مستند نشده

Maths for engineers.

موضوع مستند نشده

TECHNOLOGY & ENGINEERING-- Engineering (General)

موضوع مستند نشده

TECHNOLOGY & ENGINEERING-- Reference.

موضوع مستند نشده

PHF

موضوع مستند نشده

TEC-- 009000

موضوع مستند نشده

TEC-- 035000

شماره

ويراست

شماره رده

مستند نام اشخاص تاييد نشده

Chong, Christopher

مستند نام اشخاص تاييد نشده

Kevrekidis, Panayotis G.

تاريخ عمليات

20200823112655.0

قواعد فهرست نويسي ( بخش توصيفي )

pn

نام الکترونيکي

نوع ماده

[Book]

تكميل شده

Y