18 citations · 20 across the 4 of their papers we have counts for
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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.…
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…
Partial regularity of solutions to the 3D chemotaxis-Navier-Stokes equations at the first blow-up time
Xiaomeng Chen, Shuai Li, Wendong Wang
In this note, we investigate partial regularity of weak solutions of the three dimensional chemotaxis-Navier-Stokes equations, and obtain the -dimensional Hausdorff measur…
Remarks on Liouville type theorems for the steady MHD and Hall-MHD equations
Xiaomeng Chen, Shuai Li, Wendong Wang
In this note we investigate Liouville type theorems for the steady three dimensional MHD and Hall-MHD equations, and show that the velocity field and the magnetic field are…