Waves in Continuous Media (Paperback, 1st ed. 2017)

Starting with the basic notions and facts of the mathematical theory of waves illustrated by numerous examples, exercises, and methods of solving typical problems Chapters 1 & 2 show e.g. how to recognize the hyperbolicity property, find characteristics, Riemann invariants and conservation laws for quasilinear systems of equations, construct and analyze solutions with weak or strong discontinuities, and how to investigate equations with dispersion and to construct travelling wave solutions for models reducible to nonlinear evolution equations. Chapter 3 deals with surface and internal waves in an incompressible fluid. The efficiency of mathematical methods is demonstrated on a hierarchy of approximate submodels generated from the Euler equations of homogeneous and non-homogeneous fluids. The self-contained presentations of the material is complemented by 200+ problems of different level of difficulty, numerous illustrations, and bibliographical recommendations.

General

Imprint:	Springer International Publishing AG
Country of origin:	Switzerland
Series:	Lecture Notes in Geosystems Mathematics and Computing
Release date:	February 2017
First published:	2017
Authors:	S. L. Gavrilyuk • N.I. Makarenko • S.V. Sukhinin
Dimensions:	235 x 155 x 8mm (L x W x T)
Format:	Paperback
Pages:	141
Edition:	1st ed. 2017
ISBN-13:	978-3-319-49276-6
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Differential equations Books > Science & Mathematics > Physics > Classical mechanics > Sound, vibration & waves (acoustics) Books > Science & Mathematics > Physics > Quantum physics (quantum mechanics) > General
LSN:	3-319-49276-4
Barcode:	9783319492766

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