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Exponential decay of the power spectrum and finite dimensionality for solutions of the three dimensional primitive equations
Authors:Email author" target="_blank">Madalina?PetcuEmail author
Institution:1.The Institute of Mathematics of the Romanian Academy,Bucharest,Romania;2.Laboratoire de Mathématiques et Applications,Université de Poitiers,Futuroscope Chasseneuil Cedex,France
Abstract:In this article we estimate the number of modes, volumes and nodes, sufficient to describe well the solution of the three dimensional primitive equations; the physical meaning of these estimates is also discussed. We also study the exponential decay of the spatial power spectrum for the three dimensional primitive equations.
Keywords:
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