On the Dynamic Response of an Ocean to Wind Stress in an Equatorial Region-II: Further Exact Solutions of the Rossby Equation
Pure and Applied Mathematics Journal
Volume 2, Issue 3, June 2013, Pages: 110-118
Received: Apr. 24, 2013; Published: May 30, 2013
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M. Z. Rahman, Department of Applied Mathematics, University of Rajshahi, Rajshahi-6205, Bangladesh
A.B.M. Shamim. Ul Hasan, Department of Applied Mathematics, University of Rajshahi, Rajshahi-6206, Bangladesh
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In a beforehand paper they found some exact and explicit solutions for the standard Rossby form of the equation for the stream function for some specified and realistic wind stress. This equation, which is a third order linear partial differential equation for the stream function, relates the rate of change of vertical vortices to the curl of the applied wind stress. The equation involves the gradient of the Coriolis parameter and has particular relevance to the equatorial region, such as the North Indian Ocean. Some interesting physical properties of the solutions are considered. In this paper we find some more complicated but similar exact and explicit solutions. Some properties for these solutions are derived which are in some sense complementary to the kind of properties of the simpler solutions considered in advance.
Rossby Equation, Velocity, Coriolis Parameter, Gradient
To cite this article
M. Z. Rahman, A.B.M. Shamim. Ul Hasan, On the Dynamic Response of an Ocean to Wind Stress in an Equatorial Region-II: Further Exact Solutions of the Rossby Equation, Pure and Applied Mathematics Journal. Vol. 2, No. 3, 2013, pp. 110-118. doi: 10.11648/j.pamj.20130203.11
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