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
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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.

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