三维微极性流中微旋转与涡量的强对齐
偏微分方程分析
2023-11-10 v2
摘要
悬浮于微极性流体中的刚性颗粒提供了微观结构，该结构与由涡量给出的流体局部旋转共存并相互作用。在这项工作中，我们证明了颗粒的角速度与涡量在大时间下强对齐。我们给出了这两个向量之差的衰减率的平均与 sup 范数估计，该差度量了对齐程度。
引用
@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}
}
备注
19 pages. Paper reformulated: Proofs of main results reformulated, changes were made to the introduction section. Coauthor added