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Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity / by Alexander A. Lokshin.
- Format:
- Book
- Author/Creator:
- Lokshin, Alexander A, author.
- Series:
- Physics and Astronomy (SpringerNature-11651)
- Language:
- English
- Subjects (All):
- Mathematical physics.
- Mechanics.
- Mechanics, Applied.
- Fourier analysis.
- Integral transforms.
- Calculus, Operational.
- Mathematical Physics.
- Theoretical and Applied Mechanics.
- Fourier Analysis.
- Integral Transforms, Operational Calculus.
- Local Subjects:
- Mathematical Physics.
- Theoretical and Applied Mechanics.
- Fourier Analysis.
- Integral Transforms, Operational Calculus.
- Physical Description:
- 1 online resource (XI, 136 pages) : 10 illustrations
- Edition:
- First edition 2020.
- Contained In:
- Springer Nature eBook
- Place of Publication:
- Singapore : Springer Singapore : Imprint: Springer, 2020.
- System Details:
- text file PDF
- 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.
- 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.
- Other Format:
- Printed edition:
- ISBN:
- 978-981-15-8578-4
- 9789811585784
- Access Restriction:
- Restricted for use by site license.
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