2 citations · 6 across the 8 of their papers we have counts for
Showing 2022 · math.APShow all
3 papers · 2 filters
math.AP2022★ 1 cited
A localized criterion for the regularity of solutions to Navier-Stokes equations
Congming Li, Chenkai Liu, Ran Zhuo
The Serrin-Prodi-Ladyzhenskaya type criteria for the regularity of solutions to the incompressible Navier-Stokes equations are fundamental in the study of the millennium…
math.AP2022★ 2 cited
Uniqueness and some related estimates for Dirichlet problem with fractional Laplacian
Congming Li, Chenkai Liu
For the fractional Laplace equation, a surprising observation is the non-uniqueness for the basic Dirichlet type problems. In this paper, a somewhat sharp uniqueness condition for…
math.AP2022★ 2 cited
On the Dirichlet problem for fractional Laplace equation on a general domain
Chenkai Liu, Ran Zhuo
In this paper, we study Dirichlet problems of fractional Laplace (Poisson) equations on a general bounded domain in . Green's functions and Poisson kernels are import…