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Tauberian theory of wave fronts in l...

Lokshin, Alexander A.

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 elasticityby Alexander A. Lokshin.
Author:	Lokshin, Alexander A.
Published:	Singapore :Springer Singapore :2020.
Description:	xi, 136 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Wave-motion, Theory of.
Online resource:	https://doi.org/10.1007/978-981-15-8578-4
ISBN:	9789811585784$q(electronic bk.)

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$q(electronic bk.)

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

208684
Wave-motion, Theory of.

LC Class. No.: QA935 / .L873 2020

Dewey Class. No.: 530.15

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245 1 0 $a Tauberian theory of wave fronts in linear hereditary elasticity $h [electronic resource] / $c by Alexander A. Lokshin.
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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.
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650 0 $a Mathematical physics $x Asymptotic theory. $3 278292
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