Acoustics, Mechanics, and the Related Topics of Mathematical Analysis: CAES Du CNRS, Frejus, France, 18-22 June 2002

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World Scientific, Jan 13, 2003 - Mathematical analysis - 286 pages
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This book concerns the mathematical analysis OCo modeling physical concepts, existence, uniqueness, stability, asymptotics, computational schemes, etc. OCo 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."
 

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Contents

Paen R P Gilbert
1
Imaging methods in random media
14
Resonances of an elastic plate in a duct in the presence of a uniform
21
First order asymptotic modeling of a nuclear waste repository
28
Exact axisymmetric solution for temperaturedependent compressible
34
Recovery of the poroelastic parameters of cancellous bone using low
41
Mathematical model of the interaction problem between
48
Bore evolution in inhomogeneous channels
55
An inverse spectral problem for a Schrbdinger operator with an
64
Dispersion identification using the Fourier analysis of resonances in
229
the shape
243
Seismic response in a city
258
Hadamard singular integral equations for the Stokes problem and
272
Author Index
285
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