可压缩微极流体系统解的衰减估计

On the Decay of Higher-Order Norms of the Solutions to the Compressible Micropolar Fluids System

本文主要研究了可压缩微极流体系统在 中柯西问题解的高阶导数的衰减估计。解的L2范数的衰减率已经被刘和张[1]研究,本文利用傅里叶变换的方法证明了该系统解的一阶导数的衰减率为(1+t)-4/5,推广了文[1]的结果。

This paper primarily studies the decay of higher-order derivatives of the solution to the Cauchy problem on the compressible micropolar fluid system in . The L2 norm decay rates have been investigated by Liu and Zhang [1]. We show that the decay rate of the first order spatial derivatives of solution is (1+t)-4/5 by applying the Fourier splitting method and have generalized the result of the paper [1].