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Suppression of blow-up for the 3D Patlak-Keller-Segel-Navier-Stokes system via the Couette flow
Shikun Cui, Lili Wang, Wendong Wang
As is well known, for the 3D Patlak-Keller-Segel system, regardless of whether they are parabolic-elliptic or parabolic-parabolic forms, finite-time blow-up may occur for arbitrari…
Stability of a class of supercritical volume-filling chemotaxis-fluid model near Couette flow
Lili Wang, Wendong Wang, Yi Zhang
Consider a class of chemotaxis-fluid model incorporating a volume-filling effect in the sense of Painter and Hillen (Can. Appl. Math. Q. 2002; 10(4): 501-543), which is a supercrit…
Suppression of blow-up in Patlak-Keller-Segel system coupled with linearized Navier-Stokes equations via the 3D Couette flow
Shikun Cui, Lili Wang, Wendong Wang
It is known that finite-time blow-up in the 3D Patlak-Keller-Segel system may occur for arbitrarily small values of the initial mass. It's interesting whether one can prevent the f…
Suppression of blow-up in the 3D Patlak-Keller-Segel-Navier-Stokes system via non-parallel shear flows
Shikun Cui, Lili Wang, Wendong Wang
In this paper, we consider the three-dimensional Patlak-Keller-Segel system coupled with the Navier-Stokes equations near the non-parallel shear flow in $\mathbb{T}…