二维双层准地转方程的高阶衰减估计

Decay Estimates for the Higher-Order Derivatives of the Solutions to the Two-Layer Quasi-Geostrophic Equations for the Two-Dimensional Model

考虑带有耗散项和摩擦项的双层准地转模型,主要研究解的高阶导数的长时间行为:利用Fourier分裂法及低阶导数的衰减估计,通过改进已有的上界估计,进而得到高阶导数的衰减估计,所得结论进一步改进了已有文献中的衰减估计.

In this paper,we consider the two-layer quasi-geostrophic model in the two-dimensional case equipped with dissipation and friction terms,and we mainly study the large time behavior of the higher-order derivatives of the solutions.Using the Fourier splitting method and the lower-order decay estimates,we improve the upper bound of the known terms and then get the higher-order decay estimates.The obtained conclusion improves the known decay estimates.