Homogenization of Trajectory Statistical Solutions for the 3D Incompressible Micropolar Fluids with Rapidly Oscillating Terms

Hujun Yang, Xiaoling Han and Caidi Zhao
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Hujun Yang: Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
Xiaoling Han: Department of Mathematics, Northwest Normal University, Lanzhou 730070, China
Caidi Zhao: Department of Mathematics, Wenzhou University, Wenzhou 325035, China

Mathematics, 2022, vol. 10, issue 14, 1-15

Abstract: This article studies the 3D incompressible micropolar fluids with rapidly oscillating terms. The authors prove that the trajectory statistical solutions of the oscillating fluids converge to that of the homogenized fluids provided that the oscillating external force and angular momentum possess some weak homogenization. The results obtained indicate that the trajectory statistical information of the 3D incompressible micropolar fluids has a certain homogenization effect with respect to spatial variables. In addition, our approach is also valid for a broad class of evolutionary equations displaying the property of global existence of weak solutions without a known result of global uniqueness, including some model hydrodynamic equations, MHD equations and non-Newtonian fluids equations.

Keywords: trajectory statistical solution; homogenization; micropolar fluids; trajectory attractor (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2022
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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