ENGLISH

Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity

By Alexander A. Lokshin

Book information

Publisher
Springer Singapore;Springer
Year
2020
ISBN
9789811585777, 9789811585784
DOI
10.1007/978-981-15-8578-4
Language
english
Format
PDF
Filesize
2 MB (2020629 bytes)
Edition
1st ed.
Pages
XI, 136\146
Time added
2021-01-06 05:41:07
Mathematics; Mathematical Physics; Theoretical andOperational Calculus

Description

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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