Dynamics of Surface Waves in Coastal Waters
Wave-Current-Bottom Interactions

Wave motion is one of the broadest scientific subjects in nature, especially water waves in the near-shore region which present more richness and complexity of variability with respect to deep-water waves. Dynamics of Surface Waves in Coastal Waters: Wave-Current-Bottom Interactions develops the typical basic theories (e.g. mild-slope equation and shore-crested waves) and applications of water wave propagation with an emphasis on wave-current-bottom interactions and Hamiltonian systems. In recent times, the interest in water wave propagation has accelerated because of rapid developments in global coastal ocean engineering.

This book lays a new foundation for coastal ocean engineering and includes numerous theories and concepts (generalized wave actions in particular), making it beneficial to physical oceanographers and engineers. The book has detailed illustrations and stimulating examples showing how the theory works, and up-to-date techniques, all of which make it accessible to a wide variety of readers, especially senior undergraduate and graduate students in fluid mechanics, coastal and ocean engineering, physical oceanography and applied mathematics.

Hu Huang is a professor of fluid mechanics at Shanghai University.

Dynamics of Surface Gravity Waves in the Nearshore Region A General Introduction.- Weakly Nonlinear Waves Propagating over Uneven Bottoms.- Mild-Slope Equations.- Wave Motion in A Porous Medium.- Nonlinear Unified Equations.- Modified Zakharov Equation for Arbitrary Depths.- Nonlinear Resonant Waves in A Flow over Uneven Bottoms.- Generalized Mean-Flow Theory of Wave-Current-Bottom Interactions.- Hamiltonian Formalism for Stratified Flows.- Multi-Symplectic Structure for Three-Dimensional Surface Capillary-Gravity Waves in Inhomogeneous Media.- Highly Nonlinear Short-Crested Waves in Water of Variable Depth.- Appendices.- References.