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Waves in Continuous Media (Paperback) (Sergey Gavrilyuk & Nikolai Makarenko & Sergey Sukhinin)

Waves in Continuous Media (Paperback) (Sergey Gavrilyuk & Nikolai Makarenko & Sergey Sukhinin) - image 1 of 1

About this item

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.

Genre: Mathematics
Series Title: Lecture Notes in Geosystems Mathematics and Computing
Format: Paperback
Publisher: Springer Verlag
Author: Sergey Gavrilyuk & Nikolai Makarenko & Sergey Sukhinin
Language: English
Street Date: February 3, 2017
TCIN: 51969969
UPC: 9783319492766
Item Number (DPCI): 248-37-7497
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