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20172025
most citedA new result for 2D boundedness of solutions to a chemotaxis--haptotaxis model with/without sub-logistic source

40 citations · 92 across the 22 of their papers we have counts for

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Showing 2019 · math.APShow all

7 papers · 2 filters

math.AP2019★ 1 cited

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…

math.AP2019★ 40 cited

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…

math.AP2019

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…

math.AP2019★ 2 cited

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…

math.AP2019

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…

math.AP2019★ 4 cited

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…

math.AP2019

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…