16 citations · 21 across the 13 of their papers we have counts for
4 papers · 1 filter
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…
Symmetry of hypersurfaces with ordered mean curvature in one direction
Yanyan Li, Xukai Yan, Yao Yao
For a connected -dimensional compact smooth hypersurface without boundary embedded in , a classical result of Aleksandrov shows that it must be a sphere if…
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…