國立高雄大學圖資館 |

Language: English

Back

Waves in continuous media

Gavrilyuk, S.L.

Waves in continuous media

Record Type:	Electronic resources : Monograph/item
Title/Author:	Waves in continuous mediaby 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.
Contained By:	Springer eBooks
Subject:	Wave mechanics.
Online resource:	http://dx.doi.org/10.1007/978-3-319-49277-3
ISBN:	9783319492773$q(electronic bk.)

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$q(electronic bk.)

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

250354
Wave mechanics.

LC Class. No.: QC174.2

Dewey Class. No.: 530.124

Waves in continuous media
LDR:02046nmm a2200325 a 4500 001 507540
003 DE-He213
005 20170828155233.0
006 m d
007 cr nn 008maaau
008 171030s2017 gw s 0 eng d
020 $a 9783319492773$q(electronic bk.)
020 $a 9783319492766$q(paper)
024 7 $a 10.1007/978-3-319-49277-3 $2 doi
035 $a 978-3-319-49277-3
040 $a GP $c GP
041 0 $a eng
050 4 $a QC174.2
072 7 $a PBKJ $2 bicssc
072 7 $a MAT007000 $2 bisacsh
082 0 4 $a 530.124 $2 23
090 $a QC174.2 $b .G283 2017
100 1 $a Gavrilyuk, S.L. $3 774249
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 250354
650 0 $a Continuum mechanics. $3 190274
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Partial Differential Equations. $3 274075
700 1 $a Makarenko, N.I. $3 774250
700 1 $a Sukhinin, S.V. $3 774251
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Lecture notes in geosystems mathematics and computing. $3 728071
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-49277-3
950 $a Mathematics and Statistics (Springer-11649)