Waves in Continuous Media - Couverture souple

Gavrilyuk, S. L.; Makarenko, N.I.; Sukhinin, S.V.

Couverture souple

ISBN 10 : 3319492764 ISBN 13 : 9783319492766

Editeur : Springer, 2017

Synopsis

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.

A propos du livre

À propos de l?auteur

Sergey Gavrilyuk is professor at the Aix-Marseille III University, Marseille, France

Nikolai 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

Détails de l'édition

• Éditeur: Springer
• Date d'édition: 2017
• Langue: anglais
• ISBN 10: 3319492764
• ISBN 13: 9783319492766
• Reliure: Broché
• Nombre de pages: 152
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne