Pullback attractors for two dimensional magnetohydrodynamic equations with delays in sub-linear operators

The paper concerns the asymptotic dynamics for two dimensional magnetohydrodynamic (2D MHD) equations with delays in sub-linear operators. First, we propose some appropriate assumptions of delays and establish the well-posedness of weak solutions. Then, the process U(·, ·) generated by the weak solutions is constructed in MH2(=H×LH2). Finally, we prove the existence of a compact pullback attractor.

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Publication Details

Journal
Journal of Mathematical Physics
Published
2025-02-01
DOI
https://doi.org/10.1063/5.0200327
Citations
1
Primary Topic
Stability and Controllability of Differential Equations
Type
article
Field-Weighted Citation Impact
1.21

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article

Pullback attractors for two dimensional magnetohydrodynamic equations with delays in sub-linear operators

Xiaoya Song, Chunxiang Zhao
1 citations
Journal of Mathematical Physics
Stability and Controllability of Differential Equations
1.21
article

Pullback attractors for two dimensional magnetohydrodynamic equations with delays in sub-linear operators

Xiaoya Song, Chunxiang Zhao
article en
1 citations

Abstract

The paper concerns the asymptotic dynamics for two dimensional magnetohydrodynamic (2D MHD) equations with delays in sub-linear operators. First, we propose some appropriate assumptions of delays and establish the well-posedness of weak solutions. Then, the process U(·, ·) generated by the weak solutions is constructed in MH2(=H×LH2). Finally, we prove the existence of a compact pullback attractor.

Journal of Mathematical PhysicsVol. 66(2)
Jiangsu University (CN), Hohai University (CN)
National Natural Science Foundation of China, Fundamental Research Funds for the Central Universities
Openalex Percentile: Top 25%
Stability and Controllability of Differential Equations
1.21
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