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Long waves due to a symmetrical wind stress on the surface of a rotating ocean
Authors:C R Mondal
Institution:Department of Mathematics , Visva-Bharati University Santiniketan , 731235, West Bengal, India
Abstract:Abstract

The problem of unsteady long waves generated by any horizontal and symmetrically distributed, time-periodic surface wind on a rotating ocean is analysed for large times and distances. Uniform asymptotic estimates of the surface displacement in the unsteady state are obtained. The steady-state wave and velocity fields at any distance are also determined. Some characteristics of the unsteady and steady motions are described. Also noted are the features that distinguish the motion from its one-dimensional analogue for which a non-uniform analysis in the unsteady state along with a large-distance form of the surface elevation are already known.
Keywords:Rotating fluids  long waves  wind stress
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