38 citations · 121 across the 24 of their papers we have counts for
24 papers
Existence of weak solutions to -Navier-Stokes equations
Yuanyuan Feng, Lei Li, Jian-Guo Liu +1
We study the existence of weak solutions to the -Navier-Stokes equations with a symmetric -Laplacian on bounded domains. We construct a particular Schauder basis in $W_0^{1,p…
Geometric ergodicity of SGLD via reflection coupling
Lei Li, Jian-Guo Liu, Yuliang Wang
We consider the geometric ergodicity of the Stochastic Gradient Langevin Dynamics (SGLD) algorithm under nonconvexity settings. Via the technique of reflection coupling, we prove t…
Ergodicity and long-time behavior of the Random Batch Method for interacting particle systems
Shi Jin, Lei Li, Xuda Ye +1
We study the geometric ergodicity and the long time behavior of the Random Batch Method for interacting particle systems, which exhibits superior numerical performance in recent la…
Free boundary problems of a mutualist model with nonlocal diffusions
Lei Li, Mingxin Wang
A mutualist model with nonlocal diffusions and a free boundary is first considered. We prove that this problem has a unique solution defined , and its dynamics are governed…
Sharp estimates for a nonlocal diffusion problem with a free boundary
Lei Li, Mingxin Wang
In this paper, we proceed to study the nonlocal diffusion problem proposed by Li and Wang [8], where the left boundary is fixed, while the right boundary is a nonlocal free boundar…
Dynamics for nonlocal diffusion problems with a free boundary and a fixed boundary
Lei Li, Mingxin Wang
In this paper, we first consider two scalar nonlocal diffusion problems with a free boundary and a fixed boundary. We obtain the global existence, uniqueness and longtime behaviour…