Optimal decay-in-time rates of solutions to the Cauchy problem of 3D compressible magneto-micropolar fluids

IF 1.7 4区 数学 Q1 Mathematics
Xinyu Cui, Shengbin Fu, Rui Sun, Fangfang Tian
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引用次数: 0

Abstract

This paper focuses on the long time behavior of the solutions to the Cauchy problem of the three-dimensional compressible magneto-micropolar fluids. More precisely, we aim to establish the optimal rates of temporal decay for the highest-order spatial derivatives of the global strong solutions by the method of decomposing frequency. Our result can be regarded as the further investigation of the one in (Wei, Guo and Li in J. Differ. Equ. 263:2457–2480, 2017), in which the authors only provided the optimal rates of temporal decay for the lower-order spatial derivatives of the perturbations of both the velocity and the micro-rotational velocity.
三维可压缩磁介质流体考奇问题解的最佳时间衰减率
本文主要研究三维可压缩磁介质流体的考奇问题解的长时间行为。更确切地说,我们旨在通过分解频率的方法建立全局强解的最高阶空间导数的最佳时间衰减率。我们的结果可以看作是对《差分方程》(Wei, Guo and Li in J. Differ. Equ. 263:2457-2480, 2017)中结果的进一步研究,在该文中,作者只提供了速度和微旋转速度扰动的低阶空间导数的最优时间衰减率。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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来源期刊
Boundary Value Problems
Boundary Value Problems MATHEMATICS, APPLIED-MATHEMATICS
CiteScore
3.00
自引率
5.90%
发文量
83
审稿时长
4 months
期刊介绍: The main aim of Boundary Value Problems is to provide a forum to promote, encourage, and bring together various disciplines which use the theory, methods, and applications of boundary value problems. Boundary Value Problems will publish very high quality research articles on boundary value problems for ordinary, functional, difference, elliptic, parabolic, and hyperbolic differential equations. Articles on singular, free, and ill-posed boundary value problems, and other areas of abstract and concrete analysis are welcome. In addition to regular research articles, Boundary Value Problems will publish review articles.
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