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Record Nr. |
UNICAMPANIAVAN00123727 |
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Autore |
Gavrilyuk, Sergey L. |
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Titolo |
Waves in Continuous Media / S. L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin |
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Pubbl/distr/stampa |
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Cham, : Birkhäuser, 2017 |
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Titolo uniforme |
Waves in Continuous Media |
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Descrizione fisica |
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viii, 141 p. : ill. ; 24 cm |
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Altri autori (Persone) |
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Makarenko, Nikolay I. |
Sukhinin, Sergei V. |
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Soggetti |
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74-XX - Mechanics of deformable solids [MSC 2020] |
76-XX - Fluid mechanics [MSC 2020] |
76B70 - Stratification effects in inviscid fluids [MSC 2020] |
76D33 - Waves for incompressible viscous fluids [MSC 2020] |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Nota di contenuto |
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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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