Tauberian Theory Of Wave Fronts In Linear Hereditary Elasticity

Download or read book Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity written by Alexander A. Lokshin and published by Springer Nature. This book was released on 2020-10-21 with total page 146 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.