Zingano, P.; Niche, C.; Perusato, C.; Melo, W.; Guterres, R. Vorticity and Micro-Rotation in Micropolar Flows. Preprints2022, 2022070166. https://doi.org/10.20944/preprints202207.0166.v1
APA Style
Zingano, P., Niche, C., Perusato, C., Melo, W., & Guterres, R. (2022). Vorticity and Micro-Rotation in Micropolar Flows. Preprints. https://doi.org/10.20944/preprints202207.0166.v1
Chicago/Turabian Style
Zingano, P., Wilberclay Melo and Robert Guterres. 2022 "Vorticity and Micro-Rotation in Micropolar Flows" Preprints. https://doi.org/10.20944/preprints202207.0166.v1
Abstract
In this work the close relation between vorticity and micro-rotation in micropolar flows in Rn (n = 2 or 3) is identified and used to explain the faster decay by t^(-1/2) of the angular velocity of the micro-rotation of fluid particles, as well as establishing its optimality. For this purpose important upper and lower bounds for Leray solutions in homogeneous Sobolev spaces are derived, using the monotonicity approach recently introduced by the authors for dissipative systems in general. Several related results of interest are also given along the discussion.
Keywords
incompressible micropolar flows; vorticity and micro-rotation; dissipative systems; monotonicity method; upper and lower estimates
Subject
Computer Science and Mathematics, Analysis
Copyright:
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
