Uniform attractors for 3D MHD equations with nonlinear damping

被引:0
|
作者
Song, Xiaoya [1 ]
机构
[1] Hohai Univ, Sch Math, Nanjing, Peoples R China
基金
中国国家自然科学基金;
关键词
3D MHD equations; damping; uniform attractor; NAVIER-STOKES EQUATIONS; WEAK SOLUTIONS; CONVERGENCE; REGULARITY; UNIQUENESS;
D O I
10.1080/00036811.2024.2305837
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
The aim of this paper is to investigate the uniform attractors for 3D MHD equations with nonlinear damping. Some uniform estimates for strong solutions are established. Furthermore, we prove that 3D damped equations have an $ (\mathbb {V},\mathbb {V}) $ (V,V)-uniform attractor and an $ (\mathbb {V},\mathbf{H}<^>{2}) $ (V,H2)-uniform attractor, and the $ (\mathbb {V},\mathbb {V}) $ (V,V)-uniform attractor is actually the $ (\mathbb {V},\mathbf{H}<^>{2}) $ (V,H2)-uniform attractor.
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收藏
页码:2647 / 2659
页数:13
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