Determination of Three-Dimensional Brinkman—Forchheimer-Extended Darcy Flow

Autor: Zhengwang Tao, Xin-Guang Yang, Yan Lin, Chunxiao Guo
Jazyk: angličtina
Rok vydání: 2023
Předmět:
Zdroj: Fractal and Fractional, Vol 7, Iss 2, p 146 (2023)
Druh dokumentu: article
ISSN: 2504-3110
DOI: 10.3390/fractalfract7020146
Popis: The aim of this study is to determine a 3D incompressible Brinkman–Forchheimer-extended Darcy fluid flow. Based on global well-posedness and regularity of solutions with a periodic boundary condition, the determining modes for weak and regular solutions is achieved via the generalized Grashof number for a 3D non-autonomous Brinkman–Forchheimer-Darcy fluid flow in porous medium. Furthermore, the asymptotic determination of the complete trajectories inside an attractor via Fourier functionals is shown for a 3D autonomous Brinkman–Forchheimer-extended Darcy model.
Databáze: Directory of Open Access Journals
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