40 citations · 92 across the 22 of their papers we have counts for
23 papers
Global solvability in a higher-dimensional chemotaxis system for Alopecia Areata: Nonlinear proliferation versus logistic degradation
Haotian Tang, Jiashan Zheng
This paper is concerned with the Neumann initial-boundary value problem for the chemotaxis system: , $v_t=Δv-χ_2\nabla\cdot(v\nabla w…
Wellposedness of solution for an -D chemotaxis-convection model during tumor angiogenesis
Fengxiang Zhao, Jiashan Zheng, Kaiqiang Li
In this paper, we consider the following parabolic-parabolic-elliptic system } \begin{align*} \left\{\aligned & u_t=Δu-\nabla\cdot(u\nabla v)+ξ\nabla\cdot(u\nabla w)+au-μu^α, && x\…
Some further progress for existence and boundedness of solutions to a two-dimensional chemotaxis-(Navier-)Stokes system modeling coral fertilization
Jiashan Zheng, Kaiqiang Li
In this paper, we investigate the effects exerted by the interplay among Laplacian diffusion, chemotaxis cross diffusion and the fluid dynamic mechanism on global existence and bou…
A new result for boundedness of solutions to a quasilinear higher-dimensional chemotaxis -- haptotaxis model with nonlinear diffusion
Jiashan Zheng
This paper deals with a boundary-value problem for a coupled quasilinear chemotaxis--haptotaxis model with nonlinear diffusion $$\left\{\begin{array}{ll} u_t=\nabla\cdot(D(u)\nabla…
Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities
Zhi-An Wang, Jiashan Zheng
This paper establishes the global uniform-in-time boundedness of solutions to the following Keller-Setel system with signal-dependent diffusion and chemotaxis \begin{equation}\left…
Global existence, smooth and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux
Jiashan Zheng
We consider the spatially -D version of the following Keller-Segel-Navier-Stokes system with rotational flux $$\left\{\begin{array}{l} n_t+u\cdot\nabla n=Δn-\nabla\cdot(nS(x,n,c…
A new result for 2D boundedness of solutions to a chemotaxis--haptotaxis model with/without sub-logistic source
Tian Xiang, Jiashan Zheng
We consider the Neumann problem for a coupled chemotaxis-haptotaxis model of cancer invasion with/without kinetic source in a 2D bounded and smooth domain. For a large class of cel…
A new result for the global existence (and boundedness), regularity and stabilization of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
Jiashan Zheng
This paper deals with the following quasilinear Keller-Segel-Navier-Stokes system modeling coral fertilization : $$\left\{ \begin{array}{l} n_t+u\cdot\nabla n=Δn-\nabla\cdot(n…
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization
Jiashan Zheng
We consider an initial-boundary value problem for the incompressible four-component Keller-Segel-Navier-Stokes system with rotational flux $$\left\{\begin{array}{l} n_t+u\cdot\nabl…
Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux
Yuanyuan Ke, Jiashan Zheng
This paper investigates the following Keller-Segel-Navier-Stokes system with nonlinear diffusion and rotational flux $$\begin{align}\begin{cases} &n_t+u\cdot\nabla n=Δn^m-\nabla\cd…
An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with sensitivity
Jiashan Zheng
This paper deals with a boundary-value problem for a coupled chemotaxis-Navier-Stokes system involving tensor-valued sensitivity with saturation $$\left\{ \begin{array}{l} n_t+u\cd…
A new (and optimal) result for boundedness of solution of a quasilinear chemotaxis--haptotaxis model (with logistic source)
Jiashan Zheng
This article deals with an initial-boundary value problem for the coupled chemotaxis-haptotaxis system with nonlinear diffusion $$\left\{\begin{array}{ll} u_t=\nabla\cdot( D(u)\nab…
Boundedness and large time behavior in a higher-dimensional Keller--Segel system with singular sensitivity and logistic source
Jiashan Zheng
This paper focuses on the following Keller-Segel system with singular sensitivity and logistic source $$ \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…
A new result for global existence and boundedness of solutions to a parabolic--parabolic Keller--Segel system with logistic source
Jiashan Zheng, YanYan Li
We consider the following fully parabolic Keller--Segel system with logistic source $$ \left\{\begin{array}{ll} u_t=Δu-χ\nabla\cdot(u\nabla v)+ au-μu^2,\quad x\in Ω, t>0, \disp{v_t…
A note for global existence of a two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant
Jiashan Zheng
In this paper, we study the following the coupled chemotaxis--haptotaxis model with remodeling of non-diffusible attractant $$ \left\{\begin{array}{ll} u_t = Δu-χ\nabla\cdot(u\nabl…
Boundedness of solution of a parabolic--ODE--parabolic chemotaxis--haptotaxis model with (generalized) logistic source
Jiashan Zheng
In this paper, we study the following chemotaxis--haptotaxis system with (generalized) logistic source $$ \left\{\begin{array}{ll} u_t=Δu-χ\nabla\cdot(u\nabla v)- ξ\nabla\cdot(u\na…
Global existence to a chemotaxis-Navier-stokes system with nonlinear diffusion and rotation
Jiashan Zheng, Yanyan Li, Xinhua Zou +2
This paper is concerned with the following quasilinear chemotaxis--Navier--Stokes system with nonlinear diffusion and rotation $$ \left\{ \begin{array}{l} n_t+u\cdot\nabla n=Δn^m-\…
A new approach toward locally bounded global solutions to a chemotaxis-stokes system with nonlinear diffusion and rotation
Jiashan Zheng
We consider a degenerate quasilinear chemotaxis--Stokes type involving rotation in the aggregative term, \begin{equation} \left\{ \begin{array}{l} n_t+u\cdot\nabla n=Δn^m-\nabla\cd…
Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with nonlinear diffusion
Jiashan Zheng
The coupled quasilinear Keller-Segel-Navier-Stokes system is considered under Neumann boundary conditions for and and no-slip boundary conditions for in three-dimension…