Remarks on upper and lower bounds of solutions to the Navier-Stokes equations in R2
Remarks on upper and lower bounds of solutions to the Navier-Stokes equations in R2
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DOI：
10.1016/j.amc.2006.04.017
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发表时间：
2006-11
期刊：
影响因子：
--
通讯作者：
Bo-Qing Dong;Zhimin Chen
中科院分区：
文献类型：
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作者：
Bo-Qing Dong;Zhimin Chen
在研究全空间二维Navier-Stokes方程解的长时间渐近行为时，在不假定解的任何衰减性质的情况下，用一种简单的方法得到了解的高阶导数衰减的一些最优上下界。这种方法主要基于解的一些辅助衰减估计和一个推广的Gronwall型变元。
In the study of long time asymptotic behaviors of the solutions of the two-dimensional Navier–Stokes equations in the whole space, some optimal upper and lower bounds for the decay of higher order derivatives of the solutions are derived through a simple approach without assuming any decay properties of the solutions. This method is mainly based on some auxiliary decay estimates of the solutions and a generalized Gronwall type argument.