Waves in Continuous Media

Nonfiction, Science & Nature, Mathematics, Differential Equations
Cover of the book Waves in Continuous Media by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin, Springer International Publishing
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin ISBN: 9783319492773
Publisher: Springer International Publishing Publication: January 27, 2017
Imprint: Springer Language: English
Author: S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
ISBN: 9783319492773
Publisher: Springer International Publishing
Publication: January 27, 2017
Imprint: Springer
Language: English

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.

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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.

More books from Springer International Publishing

Cover of the book Coherent Light-Matter Interactions in Monolayer Transition-Metal Dichalcogenides by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Psychiatric Disorders Late in Life by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book The Phenomenology of Embodied Subjectivity by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Ultrafast Biophotonics by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Prostate Cancer by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Keats's Places by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Paradoxes of Conflicts by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Applied Statistics in Biomedicine and Clinical Trials Design by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Technology and the Environment in State-Socialist Hungary by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book A Simple Introduction to the Mixed Finite Element Method by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Geographic Interpretations of the Internet by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book After–sales Service of Engineering Industrial Assets by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Number Theory – Diophantine Problems, Uniform Distribution and Applications by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Mixing and Dispersion in Flows Dominated by Rotation and Buoyancy by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
Cover of the book Operative Atlas of Laparoscopic and Robotic Reconstructive Urology by S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy