Enhanced dissipation and blow-up suppression in a chemotaxis-fluid system

Published 27 Jul 2022 in math.AP | (2207.13494v4)

Abstract: In this paper, we investigate a coupled Patlak-Keller-Segel-Navier-Stokes (PKS-NS) system. We show that globally regular solutions with arbitrary large cell populations exist. The primary blowup suppression mechanism is the shear flow mixing induced enhanced dissipation phenomena.

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