Time periodic solutions for quasigeostrophic motion and their stability. (English) Zbl 1163.35310
N’Guérékata, Gaston M. (ed.), Trends in evolution equation research. Hauppauge, NY: Nova Science Publishers (ISBN 978-1-60456-270-5/hbk). 109-119 (2008).
Summary: We study the quasigeostrophic equation, which is a prototypical geophysical fluid model. We show the existence of time-periodic solutions for any Coriolis parameter and the Ekman dissipation constant with nonhomogeneous boundary conditions.
For the entire collection see [Zbl 1138.35003].
For the entire collection see [Zbl 1138.35003].
MSC:
| 35B10 | Periodic solutions to PDEs |
| 35B05 | Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs |
| 35B30 | Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 86A05 | Hydrology, hydrography, oceanography |
