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.