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.

hyperbolic waves
dispersive waves
surface
internal waves
waves
partial differential equations

1. Introduction: The Detective in Popular Culture

2. The Golden Age of Detective Fiction

3. Hardboiled Detectives and Noir Tradition

4. Police Procedurals and Crime Scene Investigators

5. Amateur Sleuths and Cozy Mysteries

6. Psychological Profilers and Criminal Minds

7. Detective Films: From Noir to Neo-Noir

8. Television Detectives: Iconic Characters and Series

9. International Detectives: Global Crime Solvers

10. Female Detectives: Breaking the Mold

11. Parody and Satire in Detective Fiction

12. The Future of Detective Stories

• Aix-Marseille University, Marseille, France

  S. L. Gavrilyuk

• Russian Academy of Sciences Lavrentyev Institute of Hydrodynamics, Novosibirsk State University, Novosibirsk, Russia

  N.I. Makarenko, S.V. Sukhinin

Book Title
Waves in Continuous Media

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

Series Title
Lecture Notes in Geosystems Mathematics and Computing

DOI
https://doi.org/10.1007/978-3-319-49277-3

eBook Packages
Mathematics and Statistics, Mathematics and Statistics (R0)

Softcover ISBN
978-3-319-49276-6
Published: 03 February 2017

eBook ISBN
978-3-319-49277-3
Published: 27 January 2017

Series ISSN
2730-5996

Series E-ISSN
2512-3211

Edition Number
1

Number of Pages
VIII, 141

Number of Illustrations
15 b/w illustrations

Topics
Partial Differential Equations