TITLE:
Lower Bounds of Decay Rates for Solution to the Single-Layer Quasi-Geostrophic Model
AUTHORS:
Haoyu Zhao
KEYWORDS:
Single-Layer Quasi-Geostrophic Model, Lower Bounds, Fourier Splitting Method
JOURNAL NAME:
Journal of Applied Mathematics and Physics,
Vol.11 No.8,
August
15,
2023
ABSTRACT: In this paper, we study the long-time behavior of solutions of the single-layer quasi-geostrophic model arising from geophysical fluid dynamics. We obtain the lower bound of the decay estimate of the solution. Utilizing the Fourier splitting method, under suitable assumptions on the initial data, for any multi-index α, we show that the solution Ψ satisfies