18 citations · 20 across the 7 of their papers we have counts for
7 papers
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…
Remarks on Interior Regularity Criteria Without Pressure for the Navier-Stokes Equations
Shuai Li, Wendong Wang, Daoguo Zhou
In this note we investigate interior regularity criteria for suitable weak solutions to the 3D Naiver-Stokes equations, and obtain the solutions are regular in the interior if the…
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…
Interior and Boundary Regularity Criteria for the 6D steady Navier-Stokes Equations
Shuai Li, Wendong Wang
It is shown in this paper that suitable weak solutions to the 6D steady incompressible Navier-Stokes are Hölder continuous at provided that $\int_{B_1}|u(x)|^3dx+\int_{B_1}|f(x…
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…
Asymptotic properties of the plane shear thickening fluids with bounded energy integral
Shuai Li, Tao Wang, Wendong Wang
In this note we investigate the asymptotic behavior of plane shear thickening fluids around a bounded obstacle. Different from the Navier-Stokes case considered by Gilbarg-Weinberg…