Asymptotic behavior of solutions to barotropic vorticity equation on a sphere-Reference-Cited by-同舟云学术

Asymptotic behavior of solutions to barotropic vorticity equation on a sphere

Published:2020-07-01 Issue:2 Volume:5 Page:229-238
ISSN:2444-8656
Container-title:Applied Mathematics and Nonlinear Sciences
language:en
Short-container-title:

Author:

Skiba Yuri N.¹

Affiliation:

1. Centro de Ciencias de la Atmósfera , Universidad Nacional Autónoma de México . Av. Universidad 3000, CU/UNAM , Coyoacán Mexico City , , Mexico

Abstract

Abstract 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.

Publisher

Walter de Gruyter GmbH

Subject

Applied Mathematics,Engineering (miscellaneous),Modeling and Simulation,General Computer Science

Link

https://www.sciendo.com/pdf/10.2478/amns.2020.2.00046

Reference15 articles.

1. Grassberger, P. (1986). Do Climatic Attractors Exist?. Nature, 323, 609–612.

2. Helgason, S. (1984) Groups and Geometric Analysis. Integral Geometry, Invariant Differential Operators and Spherical Functions. Academic Press, Orlando.

3. Ilyin, A.A. (1993). On the dimension of attractors for Navier-Stokes equations on two-dimensional compact manifolds. Diff. Integr. Equations, 6(1), 183–214.

4. Ilyin, A.A., Filatov, A.N. (1987). Navier-Stokes equations on a sphere and their unique solvability. The stability of steady solutions. In: Mathematical Physics. Leningrad Pedagogical Institute, Leningrad, pp.128–145. (in Russian)

5. Ilyin, A.A., Filatov, A.N. (1988). On unique solvability of Navier-Stokes equations on two-dimensional sphere. Dokl. Akad. Nauk SSSR, 301(1), 18–22.

Cited by 1 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Research on target tracking algorithm based on mean shift with adaptive bandwidth;Journal of Computational Methods in Sciences and Engineering;2021-12-10