Author(s)

Xueying Chen, Chaosheng Zhu^*

School of Mathematics and Statistics, Southwest University, Chongqing, China.

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.

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

Chen, X.Y. and Zhu, C.S. (2022) Linear Mean Estimates for the 3D Non-Autonomous Brinkman-Forchheimer-Extended-Darcy Equations with Singularly Oscillating Forces. Open Access Library Journal, 9, 1-8. doi: 10.4236/oalib.1108347.