40 citations · 92 across the 22 of their papers we have counts for
5 papers · 2 filters
Boundedness and large time behavior in a higher-dimensional Keller--Segel system with singular sensitivity and logistic source
Jiashan Zheng
This paper focuses on the following Keller-Segel system with singular sensitivity and logistic source $$ \left\{\begin{array}{ll} u_t=Δu-χ\nabla\cdot(\frac{u}{v}\nabla v)+ au-μu^2,…
A new result for boundedness in the quasilinear parabolic-parabolic Keller-Segel model (with logistic source)
Jiashan Zheng
The current paper considers the boundedness of solutions to the following quasilinear Keller-Segel model (with logistic source) $$\left\{\begin{array}{ll} u_t = \nabla\cdot(D(u)\na…
An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion
Jiashan Zheng
This paper investigates the following quasilinear Keller-Segel-Navier-Stokes system $$\left\{ \begin{array}{l} n_t+u\cdot\nabla n=Δn^m-\nabla\cdot(n\nabla c),\quad x\in Ω, t>0, \\…
An optimal result for global existence and boundedness in a three-dimensional Keller-Segel(-Navier)-Stokes system (involving a tensor-valued sensitivity with saturation)
Jiashan Zheng
The coupled quasilinear Keller-Segel-Navier-Stokes system $$ \left\{ \begin{array}{l} n_t+u\cdot\nabla n=Δn-\nabla\cdot(nS(x,n,c)\nabla c),\quad x\in Ω, t>0, c_t+u\cdot\nabla c=Δc-…
Global solvability and boundedness in the -dimensional quasilinear chemotaxis model with logistic source and consumption of chemoattractant
Jiashan Zheng
We consider the following chemotaxis model %fully parabolic Keller-Segel system with logistic source $$ \left\{\begin{array}{ll} u_t=\nabla\cdot(D(u)\nabla u)-χ\nabla\cdot(u\nabla…