4 papers
Rigidity for homogeneous solutions to the two-dimensional Euler equations in sector-type domains
Li Li, Xukai Yan, Zhibo Yang
We study the rigidity problem for -homogeneous solutions to the two-dimensional incompressible stationary Euler equations in sector-type domains $Ω_{a, b, θ_0}:= \{(r,θ):…
The well-posedness of three-dimensional Navier-Stokes and magnetohydrodynamic equations with partial fractional dissipation
Qibo Ma, Li Li
It is well-known that if one replaces standard velocity and magnetic dissipation by and respectively, the magnetohydrodynamic equations are well-posed for $…
Recent research on -homogeneous solutions of stationary Navier-Stokes equations
Li Li, Xukai Yan
We make an exposition of recent research on -homogeneous solutions of the three-dimensional incompressible stationary Navier-Stokes equations with singular rays. We also disc…
Removable singularity of (-1)-homogeneous solutions of stationary Navier-Stokes equations
Li Li, YanYan Li, Xukai Yan
We study the removable singularity problem for -homogeneous solutions of the three-dimensional incompressible stationary Navier-Stokes equations with singular rays. We prove…