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20172025
most citedAn optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier-Stokes system with sensitivity

4 citations · 13 across the 10 of their papers we have counts for

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math.AP2025

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…

math.AP2024

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\…

math.AP2024

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…

math.AP2020

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…

math.AP20201 cited

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…

math.AP20191 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…