4 citations · 5 across the 10 of their papers we have counts for
10 papers
On a two-species Keller-Segel model with degenerate diffusion and two stimuli
Shen Bian
This paper investigates a two-species chemotaxis system with degenerate diffusion in the whole space . The diffusion of each species is governed by porous-medium-typ…
The aggregation-diffusion equation with the intermediate exponent
Shen Bian, Jiale Bu
We consider a Keller-Segel model with non-linear porous medium type diffusion and nonlocal attractive power law interaction, focusing on potentials that are less singular than Newt…
The aggregation-diffusion equation with energy critical exponent
Shen Bian
We consider a Keller-Segel model with non-linear porous medium type diffusion and nonlocal attractive power law interaction, focusing on potentials that are less singular than Newt…
Keller-Segel model with Logarithmic Interaction and nonlocal reaction term
Shen Bian, Quan Wang
We investigate the global existence and blow-up of solutions to the Keller-Segel model with nonlocal reaction term in dimension two. By introdu…
On the cauchy problem with degenerate diffusion and nonlocal nonlinear sources
Shen Bian
This paper is devoted to the analysis of non-negative solutions for a generalisation of the parabolic equation with porous medium like nonlinear diffusion and nonlinear nonlocal re…
Global existence in the critical and subcritical cases to the Fisher-KPP model with nonlocal nonlinear reaction
Shen Bian
The Cauchy problem considered in this paper is the following \begin{align} \left\{ \begin{array}{ll} u_t=Δu+u^α\left(M_0- \int_{\mathbb{R}^n} u(x,t)dx\right),\quad & x \in \mathbb{…
Chemotaxis model with subcritical exponent in nonlocal reaction
Shen Bian, Li Chen, Evangelos A. Latos
This paper deals with a parabolic-elliptic chemotaxis system with nonlocal type of source in the whole space. It's proved that the initial value problem possesses a unique global s…
Nonlocal nonlinear reaction preventing blow-up in Keller-Segel system
Shen Bian, Li Chen, Evangelos A. Latos
This paper is devoted to the analysis of non-negative solutions for the chemotaxis model with nonlocal source in bounded domain. The qualitative behavior of solutions is determined…
A nonlocal reaction diffusion equation and its relation with Fujita exponent
Shen Bian, Li Chen
This paper is concerned with a type of nonlinear reaction-diffusion equation, which arises from the population dynamics. The equation includes a certain type reaction term $u^α(1-…
Global existence and asymptotic behavior of solutions to a nonlocal Fisher-KPP type problem
Shen Bian, Li Chen, Evangelos A. Latos
In this work, we consider a nonlocal Fisher-KPP reaction-diffusion problem with Neumann boundary condition and nonnegative initial data in a bounded domain in $\mathbb{R}^n (n \ge…