Elastic Waves by Vassily Babich
This book is concerned with mathematical aspects of theory of high-frequency elastic waves, which is also known as the ray method. The aim of the book is to present a clear systematic description of the ray method, and at the same time to emphasize its mathematical beauty.-
Spectral Geometry of Partial Differential Operators
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Summable Spaces and Their Duals, Matrix Transformations and Geometric Properties
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Nonlinear Reaction-Diffusion-Convection Equations
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Symmetry and Quantum Mechanics
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Extending Structures
- Abstract Calculus
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Inequalities and Integral Operators in Function Spaces
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Finite Element Methods for Eigenvalue Problems
- Computation with Linear Algebraic Groups
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Abstract Cauchy Problems
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Monomial Algebras
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Introduction to the Potential Theory for the Time-Dependent Stokes System
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Differential Modules over Differential Rings
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Set Theoretical Aspects of Real Analysis
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Lineability
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Spectral Methods Using Multivariate Polynomials On The Unit Ball
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Partial Differential Equations with Variable Exponents
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Localized Dynamics of Thin-Walled Shells
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Morrey Spaces
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Signal Processing
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Iterative Methods without Inversion
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Diagram Genus, Generators, and Applications
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Iterative Methods and Preconditioning for Large and Sparse Linear Systems with Applications
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Analysis on Function Spaces of Musielak-Orlicz Type
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Integration and Cubature Methods
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Separate and Joint Continuity
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Inverse Scattering Problems and Their Application to Nonlinear Integrable Equations
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Constructive Analysis of Semicircular Elements
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Spectral and Scattering Theory for Second Order Partial Differential Operators
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Modeling and Inverse Problems in the Presence of Uncertainty
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Dictionary of Inequalities
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Cremona Groups and the Icosahedron
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Markov Random Flights
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Willmore Energy and Willmore Conjecture
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Mathematical Modelling of Waves in Multi-Scale Structured Media
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Semigroups of Bounded Operators and Second-Order Elliptic and Parabolic Partial Differential Equations
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Tools for Infinite Dimensional Analysis
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Applications of Homogenization Theory to the Study of Mineralized Tissue
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Matrix Inequalities and Their Extensions to Lie Groups
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Calculus of Variations and Control Theory
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A Course on Malliavin-Skorohod Calculus for Additive Processes with Applications to Finance
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Beyond the Gibbs Paradigm
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Unbounded Operators and Subnormality
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Free Random Variables
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Non-Newtonian Sequence Spaces with Applications
"The present book treats high-frequency elastic waves, which occur in many contexts such as in seismic science, acoustics, mathematical physics, variational and tensor calculus, Riemannian and Finsler geometry, functional analysis, etc[. . . .] All in all, the book presents the state-of-the-art of the mathematical theory of high-frequency elastic waves."
-Angela Slavova, Institute of Mathematics, Bulgarian Academy of Sciences, Sofia, Bulgaria
Vassily M. Babich is a leading Russian expert in mathematical theory of diffraction and wave propagation. He is a co-author of ten monographs, and is the head of the laboratory of Mathematical Methods in Geophysics in the St. Petersburg branch of the Steklov Institute of Mathematics, as well as a part-time Professor at the Mathematical Faculty of St. Petersburg State University.
Aleksei P. Kiselev has authored around 100 papers in diffraction and propagation of waves. He previously worked in seismic exploration, and in mechanical engineering at Leningrad (St. Petersburg). He is now a leading researcher in the Babich Laboratory, a part-time Professor at the Physical Faculty of St. Petersburg State University and a part-time researcher in the Institute of Mechanical Engineering.
| SKU | Unavailable |
| ISBN 13 | 9781138033061 |
| ISBN 10 | 1138033065 |
| Title | Elastic Waves |
| Author | Vassily Babich |
| Series | Chapman And Hall Crc Monographs And Research Notes In Mathematics |
| Condition | Unavailable |
| Binding Type | Hardback |
| Publisher | Taylor & Francis Ltd |
| Year published | 2018-03-27 |
| Number of pages | 306 |
| Cover note | Book picture is for illustrative purposes only, actual binding, cover or edition may vary. |
| Note | Unavailable |