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

被引：0

作者：

Kong, Xuesi ^{[1
,3
]}

Yang, Rong ^{[1
]}

Yan, Xingjie ^{[2
]}

机构：

[1] Beijing Univ Technol, Sch Math Stat & Mech, Pingleyuan 100, Beijing 100124, Peoples R China

[2] China Univ Min & Technol, Dept Math, Xuzhou 221116, Jiangsu, Peoples R China

[3] Lanzhou Univ, Sch Math & Stat, Lanzhou 730000, Gansu, Peoples R China

来源：

JOURNAL OF MATHEMATICAL FLUID MECHANICS | 2025年 / 27卷 / 01期

关键词：

Magnetohydrodynamic equations; Global attractor; Evolutionary system; Tracking property; Singular limits; MULTIVALUED SEMIFLOWS; CLASSICAL-SOLUTIONS; EXISTENCE; SYSTEMS; MODELS;

D O I：

10.1007/s00021-024-00909-9

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：27

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