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Blow-up suppression of the Patlak-Keller-Segel-Navier-Stokes system via Taylor-Couette flow
Shikun Cui, Lili Wang, Wendong Wang
Motivated by the use of Taylor-Couette flow in extracorporeal circulation devices [Krfer et al., 2003, 26(4): 331-338], where it leads to an accumulation of platelets…
Global bounded solutions of the 3D Patlak-Keller-Segel-Navier-Stokes system via Couette flow and logistic source
Shikun Cui, Lili Wang, Wendong Wang +2
As is well-known, the solutions to the Patlak-Keller-Segel system in 3D may blow up in finite time regardless of any initial cell mass. In this paper, we investigate the existence…
On the sharp critical mass threshold for the 3D Patlak--Keller--Segel--Navier--Stokes system via Couette flow
Shikun Cui, Lili Wang, Wendong Wang +1
As is well-known, the solution of the Patlak--Keller--Segel system in 3D may blow up in finite time regardless of any initial cell mass. In this paper, we are interested in the sup…
Stability threshold of Couette flow for 3D Boussinesq system in Sobolev spaces
Shikun Cui, Lili Wang, Wendong Wang
In this paper, we investigate the nonlinear stability and transition threshold for the 3D Boussinesq system in Sobolev space under the high Reynolds number and small thermal diffus…
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}…
Hausdorff measure for the singularity set of the 3D chemotaxis-Navier-Stokes equations
Xiaomeng Chen, Shuai Li, Lili Wang +1
Suspensions of aerobic bacteria often develop flows from the interplay of chemotaxis and buoyancy, which is so-called the chemotaxis-Navier-Stokes flow. In 2004, Dombrowski et al.…
Suppression of blow-up in multi-species Patlak-Keller-Segel-Navier-Stokes system via the Poiseuille flow in a finite channel
Shikun Cui, Wendong Wang
In this paper, we consider the multi-species parabolic-elliptic Patlak-Keller-Segel system coupled with the Navier-Stokes equations near the 2-D Poiseuille flow …
Global existence of suitable weak solutions to the 3D chemotaxis-Navier-Stokes equations
Xiaomeng Chen, Shuai Li, Lili Wang +1
In 2004, Dombrowski et al. showed that suspensions of aerobic bacteria often develop flows from the interplay of chemotaxis and buoyancy, which is described as the chemotaxis-Navie…