| Description |
1 online resource (xii, 286 pages) : illustrations |
| Contents |
Paen R.P. Gilbert / R. Carroll -- About Bob Gilbert / A. Wirgin -- Representation formulas in Clifford analysis / H. Begehr -- Imaging methods in random media / J. Berryman [and others] -- Resonances of an elastic plate in a duct, in the presence of a uniform flow / A.S. Bonnet-Ben Dhia and J.-F. Mercier -- First order asymptotic modeling of a nuclear waste repository / A. Bourgeat [and others] -- Exact axisymmetric solution for temperature-dependent compressible Navier-Stokes equations / P. Broadridge and T.M. Barrett -- Recovery of the poroelastic parameters of cancellous bone using low frequency acoustic interrogation / J.L. Buchanan, R.P. Gilbert and K. Khashanah -- Mathematical model of the interaction problem between electromagnetic field and elastic body / F. Cakoni and G.C. Hsiao -- Bore evolution in inhomogeneous channels / J.G. Caputo and Y.A. Stepanyants -- An inverse spectral problem for a Schrödinger operator with an unbounded potential / L. Cardoulis, M. Cristofol and P. Gaitan -- Trapping regions for discontinuously coupled dynamic systems -- S. Carl and J.W. Jerome -- Differential calculi / R. Carroll -- Reconstruction problem for a periodic boundary between two media / J. Chandezon, A. Ye. Poyedinchuk and N.P. Yashina -- A note on generalized Cesàro operators / D.C. Chang, R. Gilbert and G. Wang -- On the boundedness of functions from an anisotropic weighted space satisfying some integral inequalities / P. Cianci -- Homogenizing a flow of an incompressible inviscid fluid through an elastic porous media / T. Clopeau and A. Mickelic -- Approximation of a dynamic unilateral contact problem for a cracked viscoelastic body / M. Cocou and G. Scarella -- Principles of signal based ray tracing for 2D and 3D complex tectonics / P. Cristini and E. De Bazelaire -- Regularity up to the boundary for a class of solutions of a functional-differential system / S. D'Asero -- On the Hardy spaces of harmonic and monogenic functions in the unit ball of R[symbol] / R. Delanghe |
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Time domain wave equations for lossy media obeying a frequency power law: application to the porous materials / Z.E.A. Fellah [and others] -- A model for porous ductile viscoplastic solids including void shape effects / L. Flandi and J.B. Leblond -- Acoustic wave propagation in a composite of two different poroelastic materials with a very rough periodic interface: a homogenization approach / R. Gilbert and M.J. Ou -- Effective acoustic equations for a nonconsolidated medium with microstructure / R.P. Gilbert and A. Panchenko -- A domain decomposition method for the Helmholtz equation in an unbounded waveguide / N. Gmati and N. Zrelli -- Support function method for inverse obstacle scattering problems / S. Gutman and A.G. Ramm -- Heat polynomial analogs / G.N. Hile and A. Stanoyevitch -- Blow-up, shock formation, and acceleration waves in hyperelastic media / A. Jeffrey -- Summability of solutions of Dirichlet problem / A. Kovalevsky and F. Nicolosi -- On isophonic surfaces / R. Magnanini -- A survey of pointwise interpolation inequalities for integer and fractional derivatives / V. Maz'ya and T. Shaposhnikova -- Non-uniqueness in connection with methods for the reconstruction of the shape of cylindrical bodies from acoustic scattering data / E. Ogam, T. Scotti and A. Wirgin -- Dispersion identification using the Fourier analysis of resonances in elastic and viscoelastic rods / R. Othman [and others] -- Application of the likelihood method to the analysis of waves in elastic and viscoelastic rods / R. Othman [and others] -- On the controlled evolution of level sets and like methods: the shape and contrast reconstruction / C. Ramananjaona [and others] -- Recent progress in the theoretical and numerical modeling of thin-layer flow / L. Schwartz -- Seismic response in a city / C. Tsogka and A. Wirgin -- Transmission of ultrasonic waves in cancellous bone and evaluation of osteoporosis / Y. Xu -- Hadamard singular integral equations for the Stokes problem and Hermite wavelets / L. Zhu and W. Lin |
| 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 |
| Notes |
At head of title: Proceedings of the International Conference to celebrate Robert P. Gilbert's 70th birthday |
| Bibliography |
Includes bibliographical references and index |
| Notes |
Print version record |
| Subject |
Mathematical analysis -- Congresses
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Nonlinear acoustics -- Congresses
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Mechanics -- Congresses
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MATHEMATICS -- Calculus.
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MATHEMATICS -- Mathematical Analysis.
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Mathematical analysis
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Mechanics
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Nonlinear acoustics
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| Genre/Form |
Conference papers and proceedings
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| Form |
Electronic book
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| Author |
Wirgin, Armand
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Gilbert, Robert P., 1932-
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Acoustics, mechanics, and the related topics of mathematical analysis (2002 : Fréjus, France)
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| ISBN |
9789812704405 |
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981270440X |
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