Cai, X.J. and Jiu, Q.S. (2008) Weak and Strong Solutions for the Incompressible NavierCStokes Equations with Damping. Journal of Mathematical Analysis and Applications, 343, 799-809. https://doi.org/10.1016/j.jmaa.2008.01.041

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.