46 citations · 122 across the 32 of their papers we have counts for
5 papers · 1 filter
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…
Estimates of the singular set for the Navier-Stokes equations with supercritical assumptions on the pressure
Tobias Barker, Wendong Wang
In this paper, we investigate systematically the supercritical conditions on the pressure associated to a Navier-Stokes solution (in three-dimensions), which ensure a reduc…
An attempt at axiomatization of extending mechanism of solutions to the fluid dynamical systems
Jinkai Li, Meng Wang, Wendong Wang
Note that some classic fluid dynamical systems such as the Navier-Stokes equations, Magnetohydrodynamics (MHD), Boussinesq equations, and etc are observably different from each oth…
Classification of solutions of the 2D steady Navier-Stokes equations with separated variables in cone-like domains
Wendong Wang, Jie Wu
We investigate the problem of classification of solutions for the steady Navier-Stokes equations in any cone-like domains. In the form of separated variables, $$u(x,y)=\left( \begi…
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…