9789812382641

Acoustics, Mechanics, and the Related Topics of Mathematical Analysis: Proceedings of the International Conference to Celebrate Robert P Gilbert's 70th Birthday Caes Du Cnrs, Frejus, France 18 - 22 June 2002

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  • ISBN13:

    9789812382641

  • ISBN10:

    981238264X

  • Format: Hardcover
  • Copyright: 2003-04-01
  • Publisher: World Scientific Pub Co Inc

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Summary

This book concerns the mathematical analysis -- modeling physical concepts, existence, uniqueness, stability, asymptotics, computational schemes, etc. -- involved in predicting complex mechanical/acoustical behavior/response and identifying or optimizing mechanical/acoustical systems giving rise to phenomena that are either observed or aimed at. The forward problems consist in solving generally coupled, nonlinear systems of integral or partial (integer or fractional) differential equations with nonconstant coefficients. The identification/optimization of the latter, of the driving terms and/or of the boundary conditions, all of which are often affected by random perturbations, forms the class of related inverse or control problems.

Table of Contents

Preface
Paen R. P. Gilbertp. 1
About Bob Gilbertp. 4
Representation formulas in Clifford analysisp. 8
Imaging methods in random mediap. 14
Resonances of an elastic plate in a duct, in the presence of a uniform flowp. 21
First order asymptotic modeling of a nuclear waste repositoryp. 28
Exact axisymmetric solution for temperature-dependent compressible Navier-Stokes Equationsp. 34
Recovery of the poroelastic parameters of cancellous bone using low frequency acoustic interrogationp. 41
Mathematical model of the interaction problem between electromagnetic field and elastic bodyp. 48
Bore evolution in inhomogeneous channelsp. 55
An inverse spectral problem for a Schrodinger operator with an unbounded potentialp. 64
Trapping regions for discontinuously coupled dynamic systemsp. 71
Differential calculip. 78
Reconstruction problem for a periodic boundary between two mediap. 85
A note on generalized Cesaro operatorsp. 92
On the boundedness of functions from an anisotropic weighted space satisfying some integral inequalitiesp. 100
Homogenizing a flow of an incompressible inviscid fluid through an elastic porous mediap. 108
Approximation of a dynamic unilateral contact problem for a cracked viscoelastic bodyp. 116
Principles of signal based ray tracing for 2D and 3D complex tectonicsp. 123
Regularity up to the boundary for a class of solutions of a functional-differential systemp. 130
On the Hardy spaces of harmonic and monogenic functions in the unit ball of R[superscript M+1]p. 137
Time domain wave equations for lossy media obeying a frequency power law: application to the porous materialsp. 143
A model for porous ductile viscoplastic solids including void shape effectsp. 150
Acoustic wave propagation in a composite of two different poroelastic materials with a very rough periodic interface: a homogenization approachp. 157
Effective acoustic equations for a nonconsolidated medium with microstructurep. 164
A domain decomposition method for the Helmholtz equation in an unbounded waveguidep. 171
Support function method for inverse obstacle scattering problemsp. 178
Heat polynomial analogsp. 185
Blow-up, shock formation, and acceleration waves in hyperelastic mediap. 192
Summability of solutions of Dirichlet problemp. 199
On isophonic surfacesp. 207
A survey of pointwise interpolation inequalities for integer and fractional derivativesp. 212
Non-uniqueness in connection with methods for the reconstruction of the shape of cylindrical bodies from acoustic scattering datap. 222
Dispersion identification using the Fourier analysis of resonances in elastic and viscoelastic rodsp. 229
Application of the likelihood method of the analysis of waves in elastic and viscoelastic rodsp. 236
On the controlled evolution of level sets and like methods: the shape and contrast reconstructionp. 243
Recent progress in the theoretical and numerical modeling of thin-layer flowp. 251
Seismic response in a cityp. 258
Transmission of ultrasonic waves in cancellous bone and evaluation of osteoporosisp. 265
Hadamard singular integral equations for the Stokes problem and Hermite waveletsp. 272
List of Communicationsp. 281
Author Indexp. 285
Table of Contents provided by Blackwell. All Rights Reserved.

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