Geodesic
On barotropic trapped wave solutions with no-slip boundary conditions
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 4, pp. 449-463

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Barotropic trapped wave solutions of a linearized system of the ocean dynamics equations are described, for semi-infinite, $f$-plane model basin of a constant depth bordering a straight, vertical coast, for some “typical” values of the model parameters. No-slip boundary conditions are considered. When the wave length is shorter than the Rossby deformation radius, the main features of the wave solutions are as follows: the Kelvin wave exponential offshore decay scale essentially decreases as the wave length decreases, an additional wave solution propagating in the opposite direction appears. 
@article{SJVM_2009_12_4_a7,
     author = {S. V. Smirnov},
     title = {On barotropic trapped wave solutions with no-slip boundary conditions},
     journal = {Sibirskij \v{z}urnal vy\v{c}islitelʹnoj matematiki},
     pages = {449--463},
     publisher = {mathdoc},
     volume = {12},
     number = {4},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJVM_2009_12_4_a7/}
}
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S. V. Smirnov. On barotropic trapped wave solutions with no-slip boundary conditions. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 12 (2009) no. 4, pp. 449-463. http://geodesic.mathdoc.fr/item/SJVM_2009_12_4_a7/