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Diffraction by an Immersed Elastic Wedge

$Diffraction by an Immersed Elastic Wedge PDF$

Author: Jean-Pierre Croisille

Publisher: Springer

Published: 2006-11-15

Total Pages: 138

ISBN-13: 3540466983

This monograph presents the mathematical description and numerical computation of the high-frequency diffracted wave by an immersed elastic wave with normal incidence. The mathematical analysis is based on the explicit description of the principal symbol of the pseudo-differential operator connected with the coupled linear problem elasticity/fluid by the wedge interface. This description is subsequently used to derive an accurate numerical computation of diffraction diagrams for different incoming waves in the fluid, and for different wedge angles. The method can be applied to any problem of coupled waves by a wedge interface. This work is of interest for any researcher concerned with high frequency wave scattering, especially mathematicians, acousticians, engineers.

Diffraction by an Immersed Elastic Wedge

$Diffraction by an Immersed Elastic Wedge PDF$

Author: Jean-Pierre Croisille

Publisher:

Published: 2014-01-15

Total Pages: 150

ISBN-13: 9783662168318

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Scattering and Diffraction by Wedges 2

$Scattering and Diffraction by Wedges 2 PDF$

Author: Vito G. Daniele

Publisher: John Wiley & Sons

Published: 2020-10-29

Total Pages: 240

ISBN-13: 111977943X

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The book has a dual purpose. The first is to expose a general methodology to solve problems of electromagnetism in geometries constituted of angular regions. The second is to bring the solutions of some canonical problems of fundamental importance in modern electromagnetic engineering with the use of the Wiener-Hopf technique. In particular, the general mathematical methodology is very ingenious and original. It is based on sophisticated and attractive procedures exploiting simple and advanced properties of analytical functions. Once the reader has acquired the methodology, she/he can easily obtain the solution of the canonical problems reported in the book. The book can be appealing also to readers who are not directly interested in the detailed mathematical methodology and/ or in electromagnetics. In fact the same methodology can be extended to acoustics and elasticity problems. Moreover, the proposed practical problems with their solutions constitute a list of reference solutions and can be of interests in engineering production in the field of radio propagations, electromagnetic compatibility and radar technologies.

Attractivity and Bifurcation for Nonautonomous Dynamical Systems

Author: Martin Rasmussen

Publisher: Springer

Published: 2007-05-26

Total Pages: 222

ISBN-13: 3540712259

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Although, bifurcation theory of equations with autonomous and periodic time dependence is a major object of research in the study of dynamical systems since decades, the notion of a nonautonomous bifurcation is not yet established. In this book, two different approaches are developed which are based on special definitions of local attractivity and repulsivity. It is shown that these notions lead to nonautonomous Morse decompositions.

The Method of Approximate Inverse: Theory and Applications

Author: Thomas Schuster

Publisher: Springer

Published: 2007-04-26

Total Pages: 193

ISBN-13: 3540712275

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This book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings. It demonstrates the performance and functionality of the method on several examples from medical imaging and non-destructive testing, such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography.

Consistency Problems for Heath-Jarrow-Morton Interest Rate Models

Author: Damir Filipovic

Publisher: Springer

Published: 2004-11-02

Total Pages: 141

ISBN-13: 354044548X

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Bond markets differ in one fundamental aspect from standard stock markets. While the latter are built up to a finite number of trade assets, the underlying basis of a bond market is the entire term structure of interest rates: an infinite-dimensional variable which is not directly observable. On the empirical side, this necessitates curve-fitting methods for the daily estimation of the term structure. Pricing models, on the other hand, are usually built upon stochastic factors representing the term structure in a finite-dimensional state space. Written for readers with knowledge in mathematical finance (in particular interest rate theory) and elementary stochastic analysis, this research monograph has threefold aims: to bring together estimation methods and factor models for interest rates, to provide appropriate consistency conditions and to explore some important examples.

Forward-Backward Stochastic Differential Equations and their Applications

Author: Jin Ma

Publisher: Springer

Published: 2007-04-24

Total Pages: 285

ISBN-13: 3540488316

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This volume is a survey/monograph on the recently developed theory of forward-backward stochastic differential equations (FBSDEs). Basic techniques such as the method of optimal control, the 'Four Step Scheme', and the method of continuation are presented in full. Related topics such as backward stochastic PDEs and many applications of FBSDEs are also discussed in detail. The volume is suitable for readers with basic knowledge of stochastic differential equations, and some exposure to the stochastic control theory and PDEs. It can be used for researchers and/or senior graduate students in the areas of probability, control theory, mathematical finance, and other related fields.

Construction of Global Lyapunov Functions Using Radial Basis Functions

Author: Peter Giesl

Publisher: Springer

Published: 2007-04-11

Total Pages: 175

ISBN-13: 3540699090

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The basin of attraction of an equilibrium of an ordinary differential equation can be determined using a Lyapunov function. A new method to construct such a Lyapunov function using radial basis functions is presented in this volume intended for researchers and advanced students from both dynamical systems and radial basis functions. Besides an introduction to both areas and a detailed description of the method, it contains error estimates and many examples.

Sharp Real-Part Theorems

Author: Gershon Kresin

Publisher: Springer

Published: 2007-03-05

Total Pages: 153

ISBN-13: 3540695745

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This volume contains a coherent point of view on various sharp pointwise inequalities for analytic functions in a disk in terms of the real part of the function on the boundary circle or in the disk itself. Inequalities of this type are frequently used in the theory of entire functions and in the analytic number theory.

Variational Methods for Problems from Plasticity Theory and for Generalized Newtonian Fluids

Author: Martin Fuchs

Publisher: Springer Science & Business Media

Published: 2000-12-12

Total Pages: 284

ISBN-13: 9783540413974

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Variational methods are applied to prove the existence of weak solutions for boundary value problems from the deformation theory of plasticity as well as for the slow, steady state flow of generalized Newtonian fluids including the Bingham and Prandtl-Eyring model. For perfect plasticity the role of the stress tensor is emphasized by studying the dual variational problem in appropriate function spaces. The main results describe the analytic properties of weak solutions, e.g. differentiability of velocity fields and continuity of stresses. The monograph addresses researchers and graduate students interested in applications of variational and PDE methods in the mechanics of solids and fluids.