Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity
Buch in deiner Nähe kaufen
Beschreibung
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.
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.
Constructs a rigorous mathematical approach to linear hereditary problems of wave propagation theory Opens unforeseen applications to fractal environments Presents a classification of near-front asymptotics of solutions to considered equations
Autor*in
Alexander A. Lokshin
Themen in »Tauberian Theory of Wave Fronts in Linear Hereditary Elasticity«
Tauberian theorem Fourier transform Laplace transform Paley-Wiener theorem elasticity viscoelasticity wave-front asymptotics