带阻尼的三维无粘磁微极方程解的全局适定性和大时性

IF 1.1 4区数学 Q2 MATHEMATICS, APPLIED

Applicable Analysis Pub Date : 2023-10-21 DOI:10.1080/00036811.2023.2271946

Xinliang Li, Dandan Ding

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引用次数: 0

摘要

摘要我们首先建立了Sobolev空间HK(K大于或等于3)中具有速度阻尼的3D不可粘不可压缩磁微极方程的全局强解的存在性，其中初始数据的H3范数很小，但其高阶导数可能很大。结合初始磁场的H˙s范数(0≤s<32)或B˙2，∞−s范数(0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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Global well-posedness and large-time behavior of solutions to the 3D inviscid magneto-micropolar equations with damping

AbstractWe first establish the existence of global strong solutions to the 3D inviscid incompressible magneto-micropolar equations with a velocity damping in Sobolev spaces HK(K⩾3), where the H3 norm of initial data is small, but its higher order derivatives could be large. Combining the H˙−s norm (0≤s<32) or B˙2,∞−s norm (0

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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.