三维 Voigt 规则化磁流体动力学方程的全局吸引和奇异极限

IF 1.2 3区数学 Q2 MATHEMATICS, APPLIED

Journal of Mathematical Fluid Mechanics Pub Date : 2024-11-18 DOI:10.1007/s00021-024-00909-9

Xuesi Kong, Xingjie Yan, Rong Yang

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引用次数: 0

摘要

本文考虑的是三维 Voigt 规则化磁流体动力学方程，其弱解的唯一性是否存在尚不得而知。首先，我们通过构建一个演化系统来证明均匀全局吸引子的存在。然后建立了该系统的奇异极限。也就是说，当某个正则化参数消失时，三维自主 Voigt 正则化磁流体力学方程与磁流体力学方程之间的全局吸引子的收敛性得到了证明。

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 Attractor and Singular Limits of the 3D Voigt-regularized Magnetohydrodynamic Equations

In this article, the 3D Voigt-regularized Magnetohydrodynamic equations are considered, for which it is unknown if the uniqueness of weak solution exists. First, we prove that the uniform global attractor exists by constructing an evolutionary system. Then singular limits of this system are established. Namely, when a certain regularization parameter disappears, the convergence of global attractors is shown between the 3D autonomous Voigt-regularized Magnetohydrodynamic equations and Magnetohydrodynamic equations.

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来源期刊

Journal of Mathematical Fluid Mechanics 物理-力学

CiteScore

2.00

自引率

15.40%

发文量

审稿时长

>12 weeks

期刊介绍： The Journal of Mathematical Fluid Mechanics (JMFM)is a forum for the publication of high-quality peer-reviewed papers on the mathematical theory of fluid mechanics, with special regards to the Navier-Stokes equations. As an important part of that, the journal encourages papers dealing with mathematical aspects of computational theory, as well as with applications in science and engineering. The journal also publishes in related areas of mathematics that have a direct bearing on the mathematical theory of fluid mechanics. All papers will be characterized by originality and mathematical rigor. For a paper to be accepted, it is not enough that it contains original results. In fact, results should be highly relevant to the mathematical theory of fluid mechanics, and meet a wide readership.