Pullback attractors for 2D MHD equations with delays

被引：4

作者：

Song, Xiaoya ^{[1
]}

Xiong, Yangmin ^{[2
]}

机构：

[1] Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510006, Peoples R China

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

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 2021年 / 62卷 / 07期

基金：

中国博士后科学基金;

关键词：

NAVIER-STOKES EQUATIONS; NONAUTONOMOUS DIFFERENTIAL-EQUATIONS; SEMILINEAR HEAT-EQUATION; 2D-NAVIER-STOKES EQUATIONS; TOPOLOGICAL DYNAMICS; GLOBAL REGULARITY; EXISTENCE; DISSIPATION; STABILITY; SYSTEMS;

D O I：

10.1063/5.0020351

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The aim of this paper is to consider the asymptotic dynamics of solutions to 2D MHD equations when the external forces contain some hereditary characteristics. First, we establish, respectively, the well-posedness of strong solutions and weak solutions; then, the process (U) over tilde(. ,.) generated by the weak solutions is constructed in M-H(2)(= H x L-H(2)); and finally, we analyze the long-time behavior of the weak solutions by proving the existence of a compact pullback attractor. Published under an exclusive license by AIP Publishing.

引用

页数：29

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