Acoustics, Mechanics, and the Related To
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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.Contents:Imaging Methods in Random Media (J Berryman et al.)Resonances of an Elastic Plate in a Duct, in the Presence of a Uniform Flow (A S B-B Dhia & J-F Mercier)First Order Asymptotic Modelling of a Nuclear Waste Repository (A Bourgeat et al.)Recovery of the Poroelastic Parameters of Cancellous Bone Using Low Frequency Acoustic Interrogation (J L Buchanan et al.)Trapping Regions for Discontinuously Coupled Dynamic Systems (S Carl & J W Jerome)Differential Calculi (R Carroll)Homogenizing a Flow of an Incompressible Inviscid Fluid Through an Elastic Porous Media (T Clopeau & A Mickelic)On the Hardy Spaces of Harmonic and Monogenic Functions in the Unit Ball of RM+1 (R Delanghe)A Model for Porous Ductile Viscoplastic Solids including Void Shape Effects (L Flandi & 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 & M-J Ou)A Survey of Pointwise Interpolation Inequalities for Integer and Fractional Derivatives (V Maz'ya & T Shaposhnikova)Recent Progress in the Theoretical and Numerical Modelling of Thin-Layer Flow (L Schwartz)and other papersReadership: Researchers, academics and graduate students in the fields of analysis and differential equations, applied mathematics, mechanics and mathematical physics.