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
DOI: 10.12677/PM.2019.91010, PDF,  被引量    国家自然科学基金支持
作者: 毛 亮, 刘青青*：华南理工大学，数学学院，广东 广州
关键词: 可压缩微极流体；傅里叶变换；衰减估计；Compressible Micropolar Fluids； Fourier Splitting Method； Optimal Time Decay
摘要: 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。
Abstract: 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].
文章引用：毛亮, 刘青青. 可压缩微极流体系统解的衰减估计[J]. 理论数学, 2019, 9(1): 71-82. https://doi.org/10.12677/PM.2019.91010

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