| Description |
1 online resource (xi, 136 pages) : illustrations |
| 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 |
| Notes |
Description based on online resource; title from digital title page (viewed on January 05, 2021) |
| Subject |
Wave-motion, Theory of.
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Mathematical physics -- Asymptotic theory.
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Tauberian theorems.
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Fourier analysis.
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Wave-motion, Theory of
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Tauberian theorems
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Mathematical physics -- Asymptotic theory
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Calculus, Operational
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Fourier analysis
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Mathematical physics
|
| Form |
Electronic book
|
| ISBN |
9789811585784 |
|
9811585784 |
|
