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Blow-up suppression for the 2D parabolic-parabolic Patlak-Keller-Segel-Navier-Stokes system
Chemotactic aggregation can overcome diffusion and lead to finite-time blow-up in Patlak-Keller-Segel models. Mixing induced by suitable fluid flows can counteract this aggregation through enhanced dissipation. Earlier results of Zeng-Zhang-Zi (J. Funct. Anal., 2021) for the coupled system impose ad
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