Optimal decay rates for higher-order derivatives of solutions to the 3D magneto-micropolar fluid equations
Optimal decay rates for higher-order derivatives of solutions to the 3D magneto-micropolar fluid equations
复制标题
3D 磁微极性流体方程解的高阶导数的最佳衰减率
DOI：
10.1016/j.aml.2022.108286
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发表时间：
2022
影响因子：
3.7
通讯作者：
Yinghui Zhang
中科院分区：
文献类型：
--
作者：
Liu Qin;Yinghui Zhang
研究了三维磁微极流体方程柯西问题强解的高阶空间导数的最优衰减率。在一些小性假设下，证明了对任意整数N≥ 3，解的N-1阶和N阶空间导数分别以L2速率（1+ t）-（34 + N-12）和（1+ t）-（34 + N2）收敛于零，这与热方程的结果相同，特别是改进了以前的相关结果.
We are concerned with the optimal decay rates for higher-order spatial derivatives of strong solutions to the 3D Cauchy problem of the magneto-micropolar fluid equations. Under some smallness assumptions, it is shown that for any integer N≥ 3, the N− 1-order and N-order spatial derivatives of the solutions converge to zero at the L 2-rate (1+ t)−(3 4+ N− 1 2) and (1+ t)−(3 4+ N 2) respectively, which are the same as those of the heat equation, and particularly improve the previous related results.