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＜電子ブック＞
Questions About Elastic Waves / by Jüri Engelbrecht

版	1st ed. 2015.
出版者	(Cham : Springer International Publishing : Imprint: Springer)
出版年	2015
大きさ	XIV, 196 p. 74 illus., 10 illus. in color : online resource
著者標目	*Engelbrecht, Jüri author SpringerLink (Online service)
件　名	LCSH:Mathematics LCSH:Mathematical physics LCSH:Differential equations LCSH:Mathematical models LCSH:Mathematics—Data processing FREE:Applications of Mathematics FREE:Theoretical, Mathematical and Computational Physics FREE:Differential Equations FREE:Mathematical Modeling and Industrial Mathematics FREE:Computational Mathematics and Numerical Analysis
一般注記	1 Introduction— What is all that about?-   2 What is wave motion -- 3 How to model waves? -- 4 What are internal variables? Arkadi Berezovski answers.- 5 What are evolution equations? . 6 What physical effects are involved? - 7 What physical mechanisms govern waves in non-conservative systems? - 8 What is complexity of waves? - References -- Index This book addresses the modelling of mechanical waves by asking the right questions about them and trying to find suitable answers. The questions follow the analytical sequence from elementary understandings to complicated cases, following a step-by-step path towards increased knowledge. The focus is on waves in elastic solids, although some examples also concern non-conservative cases for the sake of completeness. Special attention is paid to the understanding of the influence of microstructure, nonlinearity and internal variables in continua. With the help of many mathematical models for describing waves, physical phenomena concerning wave dispersion, nonlinear effects, emergence of solitary waves, scales and hierarchies of waves as well as the governing physical parameters are analysed. Also, the energy balance in waves and non-conservative models with energy influx are discussed. Finally, all answers are interwoven into the canvas of complexity HTTP:URL=https://doi.org/10.1007/978-3-319-14791-8

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