期刊论文

Yunyun Liang

英文

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES B

1531-3492

2023

28

6

3373-3392

10.3934/dcdsb.2022222

2020 Mathematics Subject Classification. Primary: 35B40, 37L15; Secondary: 35Q35. Key words and phrases. Determining mode, Determining node, Asymptotic behavior, Weak solution, Strong solution, Regularized magnetohydrodynamics equations. The authors are supported by [the Young and Middle-aged Talent Fund of Hubei Province (No. Q20201307; 7010702801), the Natural Science Foundation of Hubei Province in 2022 (Youth Foundation) and the National Nature Science Foundation of China (No. 11671134).] ∗ Corresponding author: Yunyun Liang.

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In this article, we investigate the asymptotic behavior of solutions for a non-autonomous regularized magnetohydrodynamics equations on 3D bounded domains. More precisely, the upper bounds on the number of determining modes and determining nodes for the system are established. The results show that the asymptotic behavior of the weak solution can be determined completely by its first finite number of Fourier modes and the large time behavior of the strong solution c...