Asymptotic behavior of solutions to barotropic vorticity equation on a sphere
Nov 10, 2020
About this article
Published Online: Nov 10, 2020
Page range: 229 - 238
Received: Jan 13, 2020
Accepted: Feb 18, 2020
DOI: https://doi.org/10.2478/amns.2020.2.00046
Keywords
© 2020 Yuri N. Skiba, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 International License.
The behavior of a viscous incompressible fluid on a rotating sphere is described by the nonlinear barotropic vorticity equation (BVE). Conditions for the existence of a bounded set that attracts all BVE solutions are given. In addition, sufficient conditions are obtained for a BVE solution to be a global attractor. It is shown that, in contrast to the stationary forcing, the dimension of the global BVE attractor under quasiperiodic forcing is not limited from above by the generalized Grashof number.