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math.AP2023★ 1 cited
Suppression of blow-up in 3-D Keller-Segel model via Couette flow in whole space
Shijin Deng, Binbin Shi, Weike Wang
In this paper, we study the 3-D parabolic-parabolic and parabolic-elliptic Keller-Segel models with Couette flow in . We prove that the blow-up phenomenon of solution…
math.AP2023
Enhanced dissipation and blow-up suppression for the three dimensional Keller-Segel equation with a non-shear incompressible flow
Binbin Shi, Weike Wang
In this paper, we consider the Cauchy problem for the three dimensional parabolic-elliptic Keller-Segel equation with a large non-shear incompressible flow. Without advection, ther…