Submitted:
12 July 2022
Posted:
12 July 2022
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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
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