Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing

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The quasigeostrophic equation is a prototypical geophysical fluid model. In this paper, we consider time-periodic motions of this model under dissipation and time-dependent wind forcing. We show that when the wind forcing is time-periodic and the spatial square-integral of the wind forcing is bounded in time, the full nonlinear quasigeostrophic model has time-periodic motions, under some conditions on $β$ parameter, Ekman number, viscousity and the domain size.
LaTeX file, 8 pages. Applied Mathematics and Computation, to appear

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Dynamical Systems, Analysis of PDEs, 35B10, 58F39

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http://salesiana.dossiersoluciones.com/handle/123456789/76961

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/9805112
 http://arxiv.org/abs/math/9805112

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arXiv