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

285 | |

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Acoustics, Mechanics, and the Related Topics of Mathematical Analysis Armand Wirgin Limited preview - 2003 |

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acoustic algebra amplitude analysis application approximation assume asymptotic Bergman spaces boundary condition boundary value bounded cancellous bone coefficients computational consider constant convergence curvature defined denote density derivative differential Dirac operator Dirichlet problem dispersion displacement domain E-mail elastic electromagnetic elliptic estimates evolution exists field Figure finite element fluid formulas Fourier France frequency gauge surface Gilbert given Hardy space heat equation homogeneous Hopf algebra inequality integral interface introduce inverse problems iteration layer Lemma linear Math matrix measured Mech medium method monogenic functions multi-index Nicolosi nonlinear numerical obtain operator parameters permeability Phys plate polynomial pore poroelastic porosity porous potential pressure properties reconstruction resonance satisfies Scattering simulated singular Sobolev spaces solid solitons solution solve space strain stress target tensor Theorem theory tions Tsogka variable variational variational inequalities vector velocity viscoelastic wave equation wave number wave propagation Wirgin zero