| Issue |
Wuhan Univ. J. Nat. Sci.
Volume 28, Number 1, February 2023
|
|
|---|---|---|
| Page(s) | 1 - 10 | |
| DOI | https://doi.org/10.1051/wujns/2023281001 | |
| Published online | 17 March 2023 | |
Mathematics
CLC number: O175.29
Dimension Estimate of the Global Attractor for a 3D Brinkman- Forchheimer Equation
College of Science, Xi'an University of Science and Technology, Xi'an 710054, Shaanxi, China
Received:
22
June
2022
In this paper, we study the dimension estimate of global attractor for a 3D Brinkman-Forchheimer equation. Based on the differentiability of the semigroup with respect to the initial data, we show that the global attractor of strong solution of the 3D Brinkman-Forchheimer equation has finite Hausdorff and fractal dimensions.
Key words: Brinkman-Forchheimer equation / global attractor / Hausdorff dimension / fractal dimension
Biography: SONG Xueli, female, Associate professor, research direction: infinite dimensional dynamical systems. E-mail: songxlmath@163.com
Fundation item: Supported by the National Natural Science Foundation of China (12001420)
© Wuhan University 2023
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