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math.AP2023
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.…
math.AP2023
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 …
math.AP2023★ 2 cited
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…