1 citations · 1 across the 3 of their papers we have counts for
5 papers
Sharp stability for the interaction energy
Xukai Yan, Yao Yao
This paper is devoted to stability estimates for the interaction energy with strictly radially decreasing interaction potentials, such as the Coulomb and Riesz potentials. For a ge…
Asymptotic stability of homogeneous solutions of incompressible stationary Navier-Stokes equations
Yan Yan Li, Xukai Yan
It was proved by Karch and Pilarzyc that Landau solutions are asymptotically stable under any -perturbation. In our earlier work with L. Li, we have classified all -homo…
Uniqueness and non-uniqueness of steady states of aggregation-diffusion equations
Matias G. Delgadino, Xukai Yan, Yao Yao
We consider a nonlocal aggregation equation with degenerate diffusion, which describes the mean-field limit of interacting particles driven by nonlocal interactions and localized r…
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…