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20152021
most citedTime averaging for nonautonomous/random linear parabolic equations

8 citations · 21 across the 13 of their papers we have counts for

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17 papers · 1 filter

math.AP2021

Spreading speeds of a parabolic-parabolic chemotaxis model with logistic source on

Wenxian Shen, Shuwen Xue

The current paper is concerned with the spreading speeds of the following parabolic-parabolic chemotaxis model with logistic source on , \begin{equation} \begin{cas…

math.AP2021

Persistence and convergence in parabolic-parabolic chemotaxis system with logistic source on

Wenxian Shen, Shuwen Xue

In the current paper, we consider the following parabolic-parabolic chemotaxis system with logistic source on , \begin{equation} \begin{cases} u_t=Δu-χ\nabla\cdot (…

math.AP2021

Vanishing-spreading dichotomy in a two-species chemotaxis competition system with a free boundary

Lianzhang Bao, Wenxian Shen

Predicting the evolution of expanding population is critical to control biological threats such as invasive species and virus explosion. In this paper, we consider a two species ch…

math.AP2020

Nonlocal dispersal equations with almost periodic dependence. I. Principal spectral theory

Maria Amarakristi Onyido, Wenxian Shen

This series of two papers is devoted to the study of the principal spectral theory of nonlocal dispersal operators with almost periodic dependence and the study of the asymptotic d…

math.AP2020

Forced waves of parabolic-elliptic Keller-Segel models in shifting environments

Wenxian Shen, Shuwen Xue

The current paper is concerned with the forced waves of Keller-Segel chemoattraction systems in shifting environments of the form, \begin{equation} \begin{cases} u_t=u_{xx}-χ(uv_x)…

math.AP2019

Persistence and spreading speeds of parabolic-elliptic Keller-Segel models in shifting environments

Wenxian Shen, Shuwen Xue

The current paper is concerned with the persistence and spreading speeds of the following Keller-Segel chemoattraction system in shifting environments, \begin{equation}\label{abstr…