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math.AP2025
Suppression of blow-up in 3-D Keller-Segel system with fractional diffusion via Couette flow in whole space
Shijin Deng, Binbin Shi, Weike Wang +1
In this paper, we consider a Keller-Segel model with a fractional diffusion term in in the background of a Couette flow. We show that when the background Couette flo…
math.AP2024
Enhanced dissipation and blow-up suppression for an aggregation equation with fractional diffusion and shear flow
Niu Binqian, Binbin Shi, Weike Wang
In this paper, we consider an aggregation equation with fractional diffusion and large shear flow, which arise from modelling chemotaxis in bacteria. Without the advection, the sol…