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Waves in continuous media

Gavrilyuk, S.L.

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Waves in continuous media

Record Type:	Electronic resources : Monograph/item
Title/Author:	Waves in continuous media/ by S.L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin.
Author:	Gavrilyuk, S.L.
other author:	Makarenko, N.I.
Published:	Cham :Springer International Publishing : : 2017.,
Description:	viii, 141 p. :ill., digital ;24 cm.
[NT 15003449]:	1. Hyperbolic waves -- 2. Dispersive waves -- 3. Water waves.
Contained By:	Springer eBooks
Subject:	Wave mechanics. -
Online resource:	http://dx.doi.org/10.1007/978-3-319-49277-3
ISBN:	9783319492773

Waves in continuous media
Gavrilyuk, S.L.

Waves in continuous media[electronic resource] /by S.L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin. - Cham :Springer International Publishing :2017. - viii, 141 p. :ill., digital ;24 cm. - Lecture notes in geosystems mathematics and computing. - Lecture notes in geosystems mathematics and computing..

1. Hyperbolic waves -- 2. Dispersive waves -- 3. Water waves.

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.

ISBN: 9783319492773

Standard No.: 10.1007/978-3-319-49277-3doiSubjects--Topical Terms:

560128
Wave mechanics.

LC Class. No.: QC174.2

Dewey Class. No.: 530.124

Waves in continuous media
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100 1 $a Gavrilyuk, S.L. $3 3221969
245 1 0 $a Waves in continuous media $h [electronic resource] / $c by S.L. Gavrilyuk, N.I. Makarenko, S.V. Sukhinin.
260 $a Cham : $b Springer International Publishing : $b Imprint: Springer, $c 2017.
300 $a viii, 141 p. : $b ill., digital ; $c 24 cm.
490 1 $a Lecture notes in geosystems mathematics and computing
505 0 $a 1. Hyperbolic waves -- 2. Dispersive waves -- 3. Water waves.
520 $a 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.
650 0 $a Wave mechanics. $3 560128
650 0 $a Continuum mechanics. $3 535472
650 1 4 $a Mathematics. $3 515831
650 2 4 $a Partial Differential Equations. $3 890899
700 1 $a Makarenko, N.I. $3 3221970
700 1 $a Sukhinin, S.V. $3 3221971
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830 0 $a Lecture notes in geosystems mathematics and computing. $3 2157931
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950 $a Mathematics and Statistics (Springer-11649)