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Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity [electronic resource] / by Alexander A. Lokshin.

By: Lokshin, Alexander A [author.]Contributor(s): SpringerLink (Online service)Material type: Text

TextPublisher: Singapore : Springer Singapore : Imprint: Springer, 2020Edition: 1st ed. 2020Description: XI, 136 p. 10 illus. online resourceContent type: text Media type: computer Carrier type: online resourceISBN: 9789811585784Subject(s): Mathematical physics | Mechanics | Mechanics, Applied | Fourier analysis | Integral transforms | Operational calculus | Mathematical Physics | Theoretical and Applied Mechanics | Fourier Analysis | Integral Transforms, Operational CalculusAdditional physical formats: Printed edition:: No title; Printed edition:: No title; Printed edition:: No titleDDC classification: 530.15 LOC classification: QA401-425QC19.2-20.85Online resources: Click here to access online

Contents:

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.

In: Springer Nature eBookSummary: 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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Item type	Current library	Call number	Status	Date due	Barcode
Ebooks	Mysore University Main Library		Not for loan

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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