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Tauberian theory of wave fronts in l...

Lokshin, Alexander A.

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Tauberian theory of wave fronts in linear hereditary elasticity

Record Type:	Electronic resources : Monograph/item
Title/Author:	Tauberian theory of wave fronts in linear hereditary elasticity/ by Alexander A. Lokshin.
Author:	Lokshin, Alexander A.
Published:	Singapore :Springer Singapore : : 2020.,
Description:	xi, 136 p. :ill., digital ;24 cm.
[NT 15003449]:	Chapter 1. The Problem of Hyperbolicity in Linear Hereditary Elasticity -- Chapter 2. General Hyperbolic Operators with Memory -- Chapter 3. The Wave Equation with Memory -- Appendix: Near Source Behaviour of Fundamental Solutions for Wave Operators with Memory -- References.
Contained By:	Springer Nature eBook
Subject:	Wave-motion, Theory of. -
Online resource:	https://doi.org/10.1007/978-981-15-8578-4
ISBN:	9789811585784

Tauberian theory of wave fronts in linear hereditary elasticity
Lokshin, Alexander A.

Tauberian theory of wave fronts in linear hereditary elasticity[electronic resource] /by Alexander A. Lokshin. - Singapore :Springer Singapore :2020. - xi, 136 p. :ill., digital ;24 cm.

Chapter 1. The Problem of Hyperbolicity in Linear Hereditary Elasticity -- Chapter 2. General Hyperbolic Operators with Memory -- Chapter 3. The Wave Equation with Memory -- Appendix: Near Source Behaviour of Fundamental Solutions for Wave Operators with Memory -- References.

The objective of this book is to construct a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics. By using both real end complex Tauberian techniques for the Laplace transform, a classification of near-front asymptotics of solutions to considered equations is given-depending on the singularity character of the memory function. The book goes on to derive the description of the behavior of these solutions and demonstrates the importance of nonlinear Laplace transform in linear hereditary elasticity. This book is of undeniable value to researchers working in areas of mathematical physics and related fields.

ISBN: 9789811585784

Standard No.: 10.1007/978-981-15-8578-4doiSubjects--Topical Terms:

705440
Wave-motion, Theory of.

LC Class. No.: QA935 / .L873 2020

Dewey Class. No.: 530.15

Tauberian theory of wave fronts in linear hereditary elasticity
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100 1 $a Lokshin, Alexander A. $3 3527178
245 1 0 $a Tauberian theory of wave fronts in linear hereditary elasticity $h [electronic resource] / $c by Alexander A. Lokshin.
260 $a Singapore : $b Springer Singapore : $b Imprint: Springer, $c 2020.
300 $a xi, 136 p. : $b ill., digital ; $c 24 cm.
505 0 $a Chapter 1. The Problem of Hyperbolicity in Linear Hereditary Elasticity -- Chapter 2. General Hyperbolic Operators with Memory -- Chapter 3. The Wave Equation with Memory -- Appendix: Near Source Behaviour of Fundamental Solutions for Wave Operators with Memory -- References.
520 $a The objective of this book is to construct a rigorous mathematical approach to linear hereditary problems of wave propagation theory and demonstrate the efficiency of mathematical theorems in hereditary mechanics. By using both real end complex Tauberian techniques for the Laplace transform, a classification of near-front asymptotics of solutions to considered equations is given-depending on the singularity character of the memory function. The book goes on to derive the description of the behavior of these solutions and demonstrates the importance of nonlinear Laplace transform in linear hereditary elasticity. This book is of undeniable value to researchers working in areas of mathematical physics and related fields.
650 0 $a Wave-motion, Theory of. $3 705440
650 0 $a Mathematical physics $x Asymptotic theory. $3 1567839
650 0 $a Tauberian theorems. $3 612603
650 0 $a Fourier analysis. $3 532730
650 1 4 $a Mathematical Physics. $3 1542352
650 2 4 $a Theoretical and Applied Mechanics. $3 896500
650 2 4 $a Fourier Analysis. $3 891095
650 2 4 $a Integral Transforms, Operational Calculus. $3 897325
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856 4 0 $u https://doi.org/10.1007/978-981-15-8578-4
950 $a Physics and Astronomy (SpringerNature-11651)