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Averaging of the planetary 3D geostrophic equations with oscillating external forces
Authors:T Tachim Medjo
Institution:Department of Mathematics, Florida International University, DM413B, University Park, Miami, FL 33199, USA
Abstract:In this article, we consider a non-autonomous three-dimensional planetary geostrophic model of the ocean with a singularly oscillating external force depending on a small parameter ?. We prove the existence of the uniform global attractor A?. Furthermore, using the method of 11] in the case of the two-dimensional Navier-Stokes systems, we study the convergence of A? as ? goes to zero.
Keywords:Averaging  Geostrophic equations  Global attractor  Oscillating force
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