Investigation of Barotropic and Baroclinic Seiches in Bounded Sea Basins

We present a survey of works carried out at the Wave-Theory Department of the Marine Hydrophysical Institute of the National Academy of Sciences of Ukraine for the last ten years and devoted to investigation of free and forced waves in bounded basins. Our attention is focused on the results of investigation of internal waves in basins of variable depth for the case of three-layer stratification of the liquid. The profiles of the bottom of the basin and interfaces are regarded as parabolic. Analytic solutions are obtained and the periods of oscillations of the free surface and interfaces for the first and second modes are determined. The dependences of the characteristics of baroclinic waves on the geometry of the basin and parameters of stratification are analyzed.