16 citations · 16 across the 8 of their papers we have counts for
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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…
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…
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 $α\ge…
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…
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. II. Classification of axisymmetric no-swirl solutions
Li Li, YanYan Li, Xukai Yan
We classify all (-1)-homogeneous axisymmetric no-swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus t…
Homogeneous solutions of stationary Navier-Stokes equations with isolated singularities on the unit sphere. I. One singularity
Li Li, YanYan Li, Xukai Yan
We classify all homogeneous axisymmetric no swirl solutions of incompressible stationary Navier-Stokes equations in three dimension which are smooth on the unit sphere minus…