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Differential equations --- Series, Infinite --- Harmonic analysis --- Eigenfunction expansions

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Differential equations --- Series, Infinite --- Harmonic analysis --- Boundary value problems --- Eigenfunction expansions --- Equations différentielles --- Séries infinies --- Analyse harmonique --- Problèmes aux limites

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This collection of new and original papers on mathematical aspects of nonlinear dispersive equations includes both expository and technical papers that reflect a number of recent advances in the field. The expository papers describe the state of the art and research directions. The technical papers concentrate on a specific problem and the related analysis and are addressed to active researchers. The book deals with many topics that have been the focus of intensive research and, in several cases, significant progress in recent years, including hyperbolic conservation laws, Schrödinger operators, nonlinear Schrödinger and wave equations, and the Euler and Navier-Stokes equations.

Differential equations, Nonlinear --- Nonlinear partial differential operators --- Nonlinear operators --- Partial differential operators --- Absolute value. --- Addition. --- Analysis. --- Analytical technique. --- Average. --- Commutator. --- Conservation law. --- Continuous spectrum. --- Critical focus. --- Eigenfunction. --- Eigenvalues and eigenvectors. --- Equation. --- Exponential decay. --- Fourier transform. --- Lecture. --- Manifold. --- Medium frequency. --- Nature. --- Navier–Stokes equations. --- Nonlinear system. --- Scattering theory. --- Sloan Fellowship. --- Spectral method. --- Subset. --- Support (mathematics). --- Theory. --- Three-dimensional space (mathematics). --- Volume. --- Wave equation.

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An introduction to nonlinear boundary value problems

Boundary value problems. --- Differential operators. --- Eigenfunction expansions. --- Nonlinear boundary value problems. --- Nonlinear theories. --- Nonlinear boundary value problems --- Nonlinear theories --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Nonlinear problems --- Nonlinearity (Mathematics) --- Boundary conditions (Differential equations) --- Mathematical analysis --- Mathematical physics --- Differential equations --- Functions of complex variables --- Initial value problems --- Differential inequalities. --- Inégalités différentielles. --- Équations. --- Théories non linéaires --- Degré topologique --- Equations --- Topological degree. --- Analyse fonctionnelle non linéaire --- Nonlinear functional analysis. --- Equations differentielles non lineaires --- Equations differentielles --- Equations fonctionnelles --- Problemes aux limites

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Ocean Structures subjected to actions of ocean waves require safety inspection as they protect human environment and everyday lives. Increasing uses of ocean environment have brought active research activities continuously. The newly developed technology of ocean energy even pushed the related needs forward one more step. This Special Issue focuses on Analysis of Interactions between wave structures and ocean waves. Although ocean structures may cover various practical and/or conceptual types, we hope in the years to come, the state-of-the-art applications in wave and structure interactions and/or progress review and future developments could be included. There are fifteen papers published in the Special issue. A brief description includes: Lee et al. [1] presented a concept of a water column type wave power converter. Li et al. [2] considered submerged breakwaters. Lin et al. [3] studied an ocean current turbine system. Thiagarajan and Moreno [4] investigated oscillating heave plates in wind turbines. Chiang et al. [5] proposed an actuator disk model. Tseng et al. [6] investigated Bragg reflections of periodic surface-piercing submerged breakwaters. Lee et al. [7] analyzed caisson structures with a wave power conversion system installed. Yeh et al. [8] reported motion reduction in offshore wind turbines. Wu and Hsiao [9] considered submerged slotted barriers. Tang et al. [10] studied floating platforms with fishnets. Chen et al. [11] calculated mooring drags of underwater floating structures with moorings. Jeong et al. [12] estimated the motion performance of light buoys using ecofriendly and lightweight materials. Zhang et al. [13] considered vibrations of deep-sea risers. On the other hand, Shugan et al. [14] studied the effects of plastic coating on sea surfaces.

Technology: general issues --- deep-sea riser --- top tension --- vortex-induced vibration --- numerical simulation --- experiment --- light buoy --- motion performance in waves --- potential-based simulations --- viscous damping coefficients --- free decay tests --- computational fluid dynamics --- analytic solution --- water waves --- underwater floating structure --- mooring forces --- interaction --- floating platform --- fishnet mesh size --- frequency-domain --- time-domain --- nonlinear waves --- BEM --- solitary wave --- submerged breakwater --- slotted barrier --- PIV --- RANS model --- motion reduction control --- renewable energy --- TLD --- offshore wind turbine --- structural safety --- breakwater design --- wave energy --- wave power converting system --- caisson breakwater application --- eigenfunction matching method --- oblique wave --- Bragg reflection --- step approximation --- surface-piercing structure --- periodic bottom --- surface waves --- wave breaker --- elastic plate --- power prediction --- capacity factor --- actuator disk --- wind farm --- heave plate --- free surface effect --- floating offshore wind turbine --- hydrodynamic coefficients --- added mass --- damping coefficient --- forced oscillation in waves --- Keulegan Carpenter number --- stability --- ocean current power system --- surface type --- buoyance platform --- mooring foundation --- particle image velocimetry --- submerged obstacle --- undulating breakwater --- rectangular breakwater --- vortex energy --- offshore wind power --- template structure system --- oscillating water column --- typhoon --- gust --- extreme wind --- aerodynamic load --- deep-sea riser --- top tension --- vortex-induced vibration --- numerical simulation --- experiment --- light buoy --- motion performance in waves --- potential-based simulations --- viscous damping coefficients --- free decay tests --- computational fluid dynamics --- analytic solution --- water waves --- underwater floating structure --- mooring forces --- interaction --- floating platform --- fishnet mesh size --- frequency-domain --- time-domain --- nonlinear waves --- BEM --- solitary wave --- submerged breakwater --- slotted barrier --- PIV --- RANS model --- motion reduction control --- renewable energy --- TLD --- offshore wind turbine --- structural safety --- breakwater design --- wave energy --- wave power converting system --- caisson breakwater application --- eigenfunction matching method --- oblique wave --- Bragg reflection --- step approximation --- surface-piercing structure --- periodic bottom --- surface waves --- wave breaker --- elastic plate --- power prediction --- capacity factor --- actuator disk --- wind farm --- heave plate --- free surface effect --- floating offshore wind turbine --- hydrodynamic coefficients --- added mass --- damping coefficient --- forced oscillation in waves --- Keulegan Carpenter number --- stability --- ocean current power system --- surface type --- buoyance platform --- mooring foundation --- particle image velocimetry --- submerged obstacle --- undulating breakwater --- rectangular breakwater --- vortex energy --- offshore wind power --- template structure system --- oscillating water column --- typhoon --- gust --- extreme wind --- aerodynamic load