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): a<r…
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…
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. III. Two singularities
Li Li, YanYan Li, Xukai Yan
All -homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus north and s…
Vanishing viscosity limit for homogeneous axisymmetric no-swirl solutions of stationary Navier-Stokes equations
Li Li, Yan Yan Li, Xukai Yan
-homogeneous axisymmetric no-swirl solutions of three dimensional incompressible stationary Navier-Stokes equations which are smooth on the unit sphere minus the north and so…