Strong Alignment of Micro-rotation and Vorticity in 3D Micropolar Flows
Analysis of PDEs
2023-11-10 v2
Abstract
Rigid particles suspended on a micropolar fluid provide microstructure that coexists and interacts with the local rotation of the fluid given by the vorticity. In this work we prove that the particles' angular velocity and the vorticity strongly align for large times. We provide average and supnorm estimates for the decay rate of the difference between these two vectors, which measures the alignment.
Cite
@article{arxiv.2209.13747,
title = {Strong Alignment of Micro-rotation and Vorticity in 3D Micropolar Flows},
author = {Robert Guterres and Wilberclay Melo and César Niche and Cilon Perusato and Paulo Zingano},
journal= {arXiv preprint arXiv:2209.13747},
year = {2023}
}
Comments
19 pages. Paper reformulated: Proofs of main results reformulated, changes were made to the introduction section. Coauthor added