Scattered and free waves over periodic beds. (English) Zbl 1055.76005
From the summary: The behaviour of water waves over periodic beds is considered in a two-dimensional context and using linear theory. Three cases are investigated: the scattering of waves by a finite section of periodic topography; the Bloch problem for infinite periodic topography; and sloshing motions over periodic topography confined between vertical boundaries. Connections are established between these problems.
MSC:
76B15 | Water waves, gravity waves; dispersion and scattering, nonlinear interaction |
86A05 | Hydrology, hydrography, oceanography |