Actions for Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity [electronic resource]

Email RIS file
Bookmark
Report an Issue

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

Author
Lokshin, Alexander A.
Published
Singapore : Springer Singapore : Imprint: Springer, 2020.
Edition
1st ed. 2020.
Physical Description
XI, 136 pages 10 illustrations : online resource
Additional Creators
SpringerLink (Online service)
Access Online

Availability

I Want It
I Want It

Finding items...

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.
Summary
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.
Subject(s)
ISBN
9789811585784
Digital File Characteristics
PDF
text file
Part Of
Springer Nature eBook
View MARC record | catkey: 32206110