Mathematical Techniques for Wave Interaction with Flexible Structures

This book presents a contemporary account of research on various mathematical/numerical techniques to deal with the interaction of surface gravity waves with flexible floating/submerged structures, which are available in the scientific literature in a scattered manner. It emphasizes unique determination of the solution for a class of physical problems associated with Laplace- or Helmholtz-type equations, applications of the theory of ordinary and partial differential equations, Fourier analysis, and more. It provides a toolkit to a large section of the scientific community including mathematicians, physicists, and engineers working on fluid structure interactions.

Mathematical Techniques for Wave Interaction with Flexible Structures is a thoughtful compilation of the various mathematical techniques used to deal with wave structure interaction problems. The book emphasizes unique determination of the solution for a class of physical problems associated with Laplace- or Helmholtz-type equations satisfying higher order boundary conditions with the applications of the theory of ordinary and partial differential equations, Fourier analysis, and more.

This is an ideal handbook for naval architects, ocean engineers, and geophysicists dealing with the design of floating and/or flexible marine structures. The book’s underlying mathematical tools can be easily extended to deal with physical problems in the area of acoustics, electromagnetic waves, wave propagation in elastic media, and solid-state physics.

Designed for both the classroom and independent study, Mathematical Techniques for Wave Interaction with Flexible Structures enables readers to appreciate and apply the mathematical tools of wave structure interaction research to their own work.