三维磁微极系统的衰减估计及其在l3强溶液中的应用

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2023-10-18 DOI:10.1080/00036811.2023.2271533

Xiuping Ye, Xueyun Lin

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引用次数: 0

摘要

摘要本文研究了三维不可压缩磁微极方程解的适定性和大时性。利用谱分解得到的线性化磁微极方程的Lp−Lq估计，证明了初始数据小的线性化磁微极方程的小l3 -强解的存在唯一性。然后基于这个结果，我们得到了l3强解的尖锐时间衰减估计。关键词:三维磁微极方程;光谱分解;巴拿赫收缩映射原理;大时间衰减;数学学科分类:35B4035Q3535Q30致谢感谢匿名评审对本文的改进。披露声明作者没有任何相关的财务或非财务上的竞争利益。通讯作者代表所有作者声明不存在利益冲突。数据可用性数据共享不适用于本文，因为在当前研究期间没有生成或分析数据集。

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Decay estimates of the 3D magneto-micropolar system with applications to L ₃ -strong solutions

AbstractIn this paper, we investigate the well-posedness and large time behavior of solutions to the 3D incompressible magneto-micropolar equations. By virtue of the Lp−Lq estimate obtained through the spectral decomposition of the linearized magneto-micropolar equations, we show the existence and uniqueness of small L3-strong solutions of the equations with small initial data. Then basing on this result, we derive sharp time decay estimates of the L3-strong solutions.Keywords: 3D magneto-micropolar equationsspectral decompositionbanach contraction mapping principlelarge time decayMathematics Subject Classifications: 35B4035Q3535Q30 AcknowledgmentsThe authors are grateful to the anonymous referees for the kind suggestions that improved this paper.Disclosure statementThe authors do not have any relevant financial or non-financial competing interests. On behalf of all authors, the corresponding author states that there is no conflict of interest.Data availabilityData sharing is not applicable to this article as no datasets were generated or analyzed during the current study.

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来源期刊

Applicable Analysis 数学-应用数学

CiteScore

2.60

自引率

9.10%

发文量

175

审稿时长

2 months

期刊介绍： Applicable Analysis is concerned primarily with analysis that has application to scientific and engineering problems. Papers should indicate clearly an application of the mathematics involved. On the other hand, papers that are primarily concerned with modeling rather than analysis are outside the scope of the journal General areas of analysis that are welcomed contain the areas of differential equations, with emphasis on PDEs, and integral equations, nonlinear analysis, applied functional analysis, theoretical numerical analysis and approximation theory. Areas of application, for instance, include the use of homogenization theory for electromagnetic phenomena, acoustic vibrations and other problems with multiple space and time scales, inverse problems for medical imaging and geophysics, variational methods for moving boundary problems, convex analysis for theoretical mechanics and analytical methods for spatial bio-mathematical models.