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20172022
most citedSemi-groups of stochastic gradient descent and online principal component analysis: properties and diffusion approximations

3 citations · 10 across the 9 of their papers we have counts for

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7 papers · 1 filter

math.AP2021

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…

math.AP20212 cited

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…

math.AP20213 cited

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…

math.AP2019

A viral propagation model with nonlinear infection rate and free boundaries

Lei Li, Siyu Liu, Mingxin Wang

In this paper we put forward a viral propagation model with nonlinear infection rate and free boundaries and investigate the dynamical properties. This model is composed of two ord…

math.AP2018

On mean field limit for Brownian particles with Coulomb interaction in 3D

Lei Li, Jian-Guo Liu, Pu Yu

In this paper, we consider the mean field limit of Brownian particles with Coulomb interaction in 3D space. In particular, using a symmetrization technique, we show that the limit…

math.AP2017

A dispersive regularization for the modified Camassa-Holm equation

Yu Gao, Lei Li, Jian-Guo Liu

In this paper, we present a dispersive regularization for the modified Camassa-Holm equation (mCH) in one dimension, which is achieved through a double mollification for the system…