Lecture Notes in Geosystems Mathematics and Computing / Waves in Continuous Media
(Sprache: Englisch)
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...
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Klappentext zu „Lecture Notes in Geosystems Mathematics and Computing / Waves in Continuous Media “
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.
Inhaltsverzeichnis zu „Lecture Notes in Geosystems Mathematics and Computing / Waves in Continuous Media “
1. Hyperbolic waves.- 2. Dispersive waves.- 3. Water waves.Autoren-Porträt von Sergey Gavrilyuk, Nikolai Makarenko, Sergey Sukhinin
Sergey Gavrilyuk is professor at the Aix-Marseille III University, Marseille, FranceNikolai MAKARENKO is professor at the Lavrentyev Institute of Hydrodynamics Siberian Branch of the Russian Academy, Novosibirsk, Russia
Sergey SUKHININ is professor at the Lavrentyev Institute of Hydrodynamics Russian Academy of Sciences, Novosibirsk, Russia
Bibliographische Angaben
- Autoren: Sergey Gavrilyuk , Nikolai Makarenko , Sergey Sukhinin
- 2017, 1st ed. 2017, VIII, 141 Seiten, Maße: 15,5 x 23,5 cm, Kartoniert (TB), Englisch
- Verlag: Springer, Berlin
- ISBN-10: 3319492764
- ISBN-13: 9783319492766
- Erscheinungsdatum: 03.02.2017
Sprache:
Englisch
Pressezitat
"This book is a graduate level text based upon a lecture course on waves in continuous media with particular emphasis on fluid media. It is aimed at students of applied mathematics, mechanics and geophysics. ... Waves in a stratified fluid and stability of such waves are also discussed. A number of instructive examples and exercises are given that may be useful for the targeted audience." (Fiazud Din Zaman, zbMATH 1364.76003, 2017)Kommentar zu "Lecture Notes in Geosystems Mathematics and Computing / Waves in Continuous Media"
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