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Exponential decay of the power spectrum and finite dimensionality for solutions of the three dimensional primitive equations

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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.

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Authors and Affiliations

  1. The Institute of Mathematics of the Romanian Academy, P.O. Box 1-764, 014700, Bucharest, Romania

    Madalina Petcu

  2. Laboratoire de Mathématiques et Applications, Université de Poitiers, Téléport 2 - BP 30179, Boulevard Marie et Pierre Curie, 86962, Futuroscope Chasseneuil Cedex, France

    Madalina Petcu

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  1. Madalina Petcu
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Correspondence to Madalina Petcu.

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Petcu, M. Exponential decay of the power spectrum and finite dimensionality for solutions of the three dimensional primitive equations. Numer. Math. 120, 89–116 (2012). https://doi.org/10.1007/s00211-011-0405-0

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  • DOI: https://doi.org/10.1007/s00211-011-0405-0

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