Acoustics, mechanics, and the related topics of mathematical analysis : CAES du CNRS, Frejus, France, 18-22 June 2002 / editor, Armand Wirgin.

Format:

Book

Contributor:

Wirgin, Armand.

Gilbert, Robert P., 1932-

Language:

English

Subjects (All):

Mathematical analysis--Congresses.

Mathematical analysis.

Nonlinear acoustics--Congresses.

Nonlinear acoustics.

Mechanics--Congresses.

Mechanics.

Physical Description:

1 online resource (301 p.)

Place of Publication:

Singapore ; River Edge, NJ ; Hong Kong : World Scientific, c2002.

Language Note:

English

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 o

Contents:

Preface A. Wirgin; Contents; Paen R.P. Gilbert R. Carroll; 1. Propaganda; 2. Personal; About Bob Gilbert A. Wirgin; 1. Prelude; 2. Childhood; 3. The role of the sea; 4. From seawater to sand; 5. From sand to bones; 6. From bones to snow; 7. Back to childhood; Representation formulas in Clifford analysis H. Begehr; 1. Introduction; 2. Cauchy Pompeiu representation formulas; References; Imaging methods in random media J. Berryman, L. Borcea, G. Papanicolaou and C. Tsogka; 1. Introduction; 2. Problem Statement and Notation; 3. Matched field - central frequency; 4. Matched field in time

5. Time domain processing and range estimation methods5.1. Matched field in time combined with times from avemged singular vectors; 6. Conclusions; References; Resonances of an elastic plate in a duct, in the presence of a uniform flow A.S. Bonnet-Ben Dhia and J.-F. Mercier; 1. Introduction; 2. Equations of the problem; 2.1. Fluid; 2.2. Elastic plate; 2.3. Boundary conditions; 3. Characterization of the resonance frequencies; 4. Theoretical tool; 4.1. Rigid plate in presence of a flow; 4.1.1. Study of a fluid at rest; 4.1.2. Fluid in motion; 4.2. Elastic plate in the presence of a flow

5. Numerical studyReferences; First order asymptotic modeling of a nuclear waste repository A. Bourgeat, I. Boursier, O. Gipoulowc and E. Marusic-Paloka; 1. Introduction; 2. Setting the problem; 2.1. Renomalization; 2.2. The Geometry; 2.3. The Equations; 3. A priori estimates; 4. Weak convergence; References; Exact axisymmetric solution for temperature-dependent compressible Navier-Stokes Equations P. Broadridge and T.M. Barrett; 1. Introduction; 2. Steady Compressible Temperature-Dependent Navier-Stokes Equations; 3. Full Axisymmetric Solution for Boltzmann Gas

4. Ideal Gas with Constant Transport CoefficientsAcknowledgments; References; Recovery of the poroelastic parameters of cancellous bone using low frequency acoustic interrogation J.L. Buchanan, R.P. Gilbert and K. Khashanah; 1. Introduction; 2. The parameters of the Biot model; 3. A simulated experiment; 4. An algorithm for recovering the Biot parameters; 5. Results; References; Mathematical model of the interaction problem between electromagnetic field and elastic body F. Cakoni and G.C. Hsiao; 1. The Mathematical Model; 2. Uniqueness; 3. Nonlocal and Variational Formulations

AcknowledgmentsReferences; Bore evolution in inhomogeneous channels J. G. Caputo and Y.A. Stepanyants; 1. Introduction; 2. The model; 2.1. Conservation laws; 2.2. Simplification of the main equation ( 4 ); 3. Breaking of Riemann waves; 4. Bore disintegration into KdV solitons; 5. Acknowledgments; References; An inverse spectral problem for a Schrodinger operator with an unbounded potential L. Cardoulis, M. Cristofol and P. Gaitan; 1. Introduction; 2. Asymptotic behaviour of a solution; 3. Unicity Theorem; References

Trapping regions for discontinuously coupled dynamic systems S. Carl and J. W. Jerome

Notes:

At head of title: Proceedings of the International Conference to celebrate Robert P. Gilbert's 70th birthday.

Includes bibliographical references and index.

ISBN:

9786611906108

9781281906106

1281906107

9789812704405

981270440X