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This convenient reference for applied mathematicians and engineers draws together some of the most important methods for solving problems involving the interaction of waves with structures. Each chapter deals with a different technique, all described with the context of wave/structure interactions and often illustrated by application to research problems. The authors provide detailed explanations of the important steps within the mathematical development, and, where possible, physical interpretations of mathematical results. The methods they describe form powerful tools readily applicable to real problems and illuminate those problems in a unique way.

Structural dynamics --- Water waves --- Mathematical models --- Fluid mechanics - Mathematics --- Fluides, Mécanique des - Mathématiques --- Fluid mechanics --- Fluides, Mécanique des --- Mathematics. --- Mathématiques. --- Mathématiques. --- Mécanique des fluides --- Mécanique des fluides

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Nonlinear waves. --- Fluid mechanics - Mathematics --- Fluides, Mécanique des --- Mathématiques. --- Fluid mechanics --- - Mathematics. --- - Mathématiques. --- Waves. --- Ondes --- Mathematics. --- Fluid dynamics --- Fluides incompressibles --- Shock waves. --- Ondes de choc. --- Nonlinear waves --- Fluid dynamics. --- Mathématiques. --- Mécanique des fluides --- Equations aux derivees partielles non lineaires

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A survey of asymptotic methods in fluid mechanics and applications is given including high Reynolds number flows (interacting boundary layers, marginal separation, turbulence asymptotics) and low Reynolds number flows as an example of hybrid methods, waves as an example of exponential asymptotics and multiple scales methods in meteorology.

Asymptotes. --- Fluid mechanics -- Mathematics. --- Mathematics. --- Fluid mechanics --- Asymptotes --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Applied Mathematics --- Civil Engineering --- Mathematics --- Fluid mechanics. --- Hydromechanics --- Engineering. --- Partial differential equations. --- Fluids. --- Mechanics. --- Mechanics, Applied. --- Theoretical and Applied Mechanics. --- Partial Differential Equations. --- Fluid- and Aerodynamics. --- Continuum mechanics --- Mechanics, applied. --- Differential equations, partial. --- Partial differential equations --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Hydraulics --- Mechanics --- Physics --- Hydrostatics --- Permeability --- Classical mechanics --- Newtonian mechanics --- Dynamics --- Quantum theory

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This book is a unique collection of high-level papers devoted to fundamental topics in mathematical fluid mechanics and their applications, mostly in connection with the scientific work of Giovanni Paolo Galdi. The contributions are mainly centered on the study of the basic properties of the Navier-Stokes equations, including existence, uniqueness, regularity, and stability of solutions. Related models describing non-Newtonian flows, turbulence, and fluid-structure interactions are also addressed. The results are analytical, numerical and experimental in nature, making the book particularly appealing to a vast readership encompassing mathematicians, engineers and physicists. The diversity of the topics, in addition to the different approaches, will provide readers a global and up-to-date overview of both the latest findings on the subject and of the salient open questions.

Fluid mechanics -- Mathematics. --- Fluid mechanics. --- Fluid mechanics --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Civil Engineering --- Applied Mathematics --- Mathematics --- Mathematics. --- Math --- Hydromechanics --- Applied mathematics. --- Engineering mathematics. --- Computer mathematics. --- Numerical analysis. --- Continuum physics. --- Biomedical engineering. --- Applications of Mathematics. --- Classical Continuum Physics. --- Computational Mathematics and Numerical Analysis. --- Numerical Analysis. --- Biomedical Engineering. --- Science --- Continuum mechanics --- Computer science --- Classical and Continuum Physics. --- Biomedical Engineering and Bioengineering. --- Clinical engineering --- Medical engineering --- Bioengineering --- Biophysics --- Engineering --- Medicine --- Mathematical analysis --- Computer mathematics --- Discrete mathematics --- Electronic data processing --- Classical field theory --- Continuum physics --- Physics --- Engineering analysis