Determination of Three-Dimensional Brinkman—Forchheimer-Extended Darcy Flow-Reference-Cited by-同舟云学术

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

Published:2023-02-03 Issue:2 Volume:7 Page:146
ISSN:2504-3110
Container-title:Fractal and Fractional
language:en
Short-container-title:Fractal Fract

Author:

Tao Zhengwang¹,Yang Xin-Guang¹^ORCID,Lin Yan²,Guo Chunxiao²

Affiliation:

1. Department of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, China

2. Department of Mathematics, China University of Mining and Technology (Beijing), Beijing 100083, China

Abstract

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.

Funder

Cultivation Fund of Henan Normal University

Henan Overseas Expertise Introduction Center for Discipline Innovation

Key project of Henan Education Department

Publisher

MDPI AG

Subject

Statistics and Probability,Statistical and Nonlinear Physics,Analysis

Link

https://www.mdpi.com/2504-3110/7/2/146/pdf

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