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Nield, D. (1991) The Limitations of the Brinkman-Forchheimer Equation in Modeling Flow in a Saturated Porous Medium and at an Interface. International Journal of Heat and Fluid Flow, 12, 269-272. https://doi.org/10.1016/0142-727X(91)90062-Z

has been cited by the following article:

• TITLE: Linear Mean Estimates for the 3D Non-Autonomous Brinkman-Forchheimer-Extended-Darcy Equations with Singularly Oscillating Forces

  AUTHORS: Xueying Chen, Chaosheng Zhu

  KEYWORDS: Singularly Oscillating Forces, Brinkman-Forchheimer-Extended-Darcy Equations, Existence and Uniqueness of Solutions, Oscillatory Averaged Estimation

  JOURNAL NAME: Open Access Library Journal, Vol.9 No.2, February 28, 2022

  ABSTRACT: In this paper, we prove the existence of global strong solutions for the three-dimensional nonautonomous Brinkman-Forchheimer-extended-Darcy equation with singularly oscillating and show that the strong solutions are unique. In addition, we also give general estimates for its auxiliary linear equation; finally, we derive the oscillatory averaged estimates of the equation from the results of these general estimates.