Displaying similar documents to “Oblique interface-wave diffraction by a small bottom deformation in two superposed fluids.”

Water-wave problem for a vertical shell

Nikolai G. Kuznecov, Vladimir G. Maz'ya (2001)

Mathematica Bohemica

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The uniqueness theorem is proved for the linearized problem describing radiation and scattering of time-harmonic water waves by a vertical shell having an arbitrary horizontal cross-section. The uniqueness holds for all frequencies, and various locations of the shell are possible: surface-piercing, totally immersed and bottom-standing. A version of integral equation technique is outlined for finding a solution.

Baroclinic Kelvin Waves in a Rotating Circular Basin

R. N. Ibragimov (2012)

Mathematical Modelling of Natural Phenomena

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A linear, uniformly stratified ocean model is used to investigate propagation of baroclinic Kelvin waves in a cylindrical basin. It is found that smaller wave amplitudes are inherent to higher mode individual terms of the obtained solutions that are also evanescent away of a costal line toward the center of the circular basin. It is also shown that the individual terms if the obtained solutions can be visualized as spinning patterns in rotating stratified fluid confined in a circular...