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Schonbek, M.E. (1985) L2 Decay for Weak Solutions of the Nonlinear Navier-Stokes Equations. Archive for Rational Mechanics and Analysis, 88, 209-222.
https://doi.org/10.1007/BF00752111

has been cited by the following article:

• 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