English

Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing

Dynamical Systems 2007-05-23 v1 Analysis of PDEs

Abstract

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\beta parameter, Ekman number, viscousity and the domain size.

Keywords

Cite

@article{arxiv.math/9805112,
  title  = {Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing},
  author = {Jinqiao Duan},
  journal= {arXiv preprint arXiv:math/9805112},
  year   = {2007}
}

Comments

LaTeX file, 8 pages. Applied Mathematics and Computation, to appear

R2 v1 2026-07-22T17:58:39.372Z