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.
Authors
- Xiaoya Song (ORCID: https://orcid.org/0000-0003-4058-2546)
- Chunxiang Zhao (ORCID: https://orcid.org/0000-0003-3689-8716)
Institutions
- Jiangsu University (CN)
- Hohai University (CN)
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
Funders
- National Natural Science Foundation of China
- Fundamental Research Funds for the Central Universities