郑甲山｜烟台大学｜学者主页

2026

关于资本诱导劳动迁移的趋化型索洛-斯旺经济增长模型的一些进展

刘令，郑甲山

《数学物理学报》

2026

复杂生物学背景下的细胞种群动态：多角度趋化模型的理论前沿与未解问题

郑甲山，王钰莹

《烟台大学学报(自然科学与工程版)》

2026

Global existence in a 3D chemotaxis-Stokes system with signal-dependent motion

Kaiqiang Li, Yingying Li, Jiashan Zheng

Journal of evolution equations (Printed ed.)

DOI

2026

Asymptotic Behavior of a 3D Chemotaxis-Stokes Predator–Prey System Incorporating Logistic Growth

Cunsai Shen, Jiashan Zheng, Liqiong Pu

Applied Mathematics & Optimization

DOI

2026

Global Dynamics of Keller-Segel-Stokes System with Density-Dependent Motion

Kaiqiang Li, Yingying Li, Jiashan Zheng

Results in Mathematics

DOI

2026

Global solvability, boundedness and stabilization to a three-dimensional chemotaxis-Stokes system modeling coral fertilization

Jiashan Zheng, Jianing Xie

Journal of Differential Equations

DOI

2026

Existence and boundedness of the classical global solution to 2D chemotaxis-fluid system with double chemical signals

Shengquan Liu, Dongpu Li, Jiashan Zheng

Electronic Journal of Differential Equations

DOI

2026

Global boundedness of an N-D chemotactic tumor immune evasion system

Kaiqiang Li, Yingying Li, Jiashan Zheng

Discrete and Continuous Dynamical Systems - B

DOI

2026

Global classical solution of chemotaxis-haptotaxis model with re-establishment mechanisms

Jiashan Zheng, Yuanyuan Ke

Communications in Mathematical Sciences

DOI

2026

Global boundedness for three-dimensional Keller–Segel–Stokes system modeling indirect signal production with nonlinear diffusion

Jiashan Zheng, Yuying Wang

Journal of Evolution Equations

DOI

2026

Global Solvability and Uniform Boundedness of Classical Solution for Chemotaxis System of Immune Responses to Solid Tumors

Xiaoping Song, Jiashan Zheng

Applied Mathematics & Optimization

DOI

2026

On the Existence of Solutions for a Three-Dimensional Keller–Segel–Navier–Stokes System with Indirect Signal Production

Zhichao Gao, Jiashan Zheng

Applied Mathematics & Optimization

DOI

2026

Boundedness of classical solutions for a chemotaxis model with nonlinear signal production

Jiashan Zheng, Yongxiu Shi

Zeitschrift für angewandte Mathematik und Physik

DOI

2026

Optimal Regularity and the Sharp Saturation Exponent for the 3D Keller–Segel–Stokes System

Liqiong Pu, Jiashan Zheng

Applied Mathematics & Optimization

DOI

2026

Global bounded weak solution in three dimensional chemotaxis-fluid coupled May-Nowak system with nonlinear diffusion and virus propagation

Jiashan Zheng, Yuying Wang

Zeitschrift für angewandte Mathematik und Physik

DOI

2026

Some progress on global solvability and boundedness of solutions for taxis-dominated May-Nowak type system with virus infection and nonlinear diffusion kinetics

Jiashan Zheng, Yuying Wang

Nonlinear Analysis Real World Applications

DOI

2026

Blow-up prevention by the dampening role of superlinear logistic-type kinetics in an N-dimensional parabolic-parabolic chemotaxis-consumption system

Jiashan Zheng, Yuying Wang

Nonlinear Differential Equations and Applications NoDEA

DOI

2026

An Optimal Result on Global Well-Posedness of Bounded Weak Solution for Quasilinear May-Nowak-fluid System with Nonlinear Diffusion Term and Immune Chemokine in Two Dimensions

Jiashan Zheng, Yuying Wang

Applied Mathematics & Optimization

DOI

2026

Some further progress on global existence for chemotaxis system involving synchronous production and signal consumption

Jiashan Zheng, Yuying Wang

Zeitschrift für angewandte Mathematik und Physik

DOI

2026

Global existence and boundedness in a tumor-immune evasion model incorporating logistic growth and chemotactic migration

Cunsai Shen, Jiashan Zheng, Liqiong Pu

Journal of Evolution Equations

DOI

2025

Some new results for the well-posedness of solutions for a parabolic-parabolic-elliptic chemotaxis model

Fengxiang Zhao, Kaiqiang Li, Jiashan Zheng

Discrete and Continuous Dynamical Systems - B

DOI

2025

Global and bounded solutions for a cross-diffusion chemotaxis model with flux limitation

Chuchu Du, Kaiqiang Li, Jiashan Zheng

Discrete and Continuous Dynamical Systems - B

DOI

2025

Global existence and regularity in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production

Jiashan Zheng, Jia-Ning Xie

Discrete and Continuous Dynamical Systems. Series A

DOI

2025

A class of models with a nonlinear indirect chase-and-escape effect

Cunsai Shen, Liqiong Pu, Jiashan Zheng

Discrete and Continuous Dynamical Systems - B

DOI

2025

Existence of globally bounded solutions for a predator-prey system with indirect taxis-driven pursuit-evasion and parabolic-elliptic signal

Yuxuan Liang, Chuchu Du, Kaiqiang Li, Jiashan Zheng

Electronic Research Archive

DOI

2025

Global existence and boundedness of classical solutions in chemotaxis-(Navier-)Stokes system with singular sensitivity and self-consistent term

Yu-Ying Wang, Liqiong Pu, Jiashan Zheng

Applied Mathematics Letters

DOI

2025

Blow-up prevention and rate of convergence of solutions for N-dimensional parabolic-parabolic systems with consumption of chemoattractant

Jiashan Zheng, Yuying Wang

Electronic Journal of Differential Equations

DOI

2025

Global existence and eventual smoothness for a 2-dimensional Keller-Segel system with nonlinear logistic source

Jiashan Zheng, Yuanyuan Ke

Journal of Differential Equations

DOI

2025

A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions

Shengquan Liu, Jiashan Zheng

Journal of Differential Equations

DOI

2025

Blow-up prevention by subquadratic and quadratic degradations in a three-dimensional Keller–Segel–Stokes system with indirect signal production

Kai Gao, Seong Tae Jhang, Shaoguang Shi, Jiashan Zheng

Journal of Differential Equations

DOI

2025

Existence and boundedness of solutions for a parabolic-parabolic predator-prey model

Fengxiang Zhao, Haotian Tang, Jiashan Zheng, Kaiqiang Li

Electronic Journal of Differential Equations

DOI

2025

Global existence and classical boundedness of solutions in a two-dimensional chemotaxis-Stokes system involving logistic source term

Cunsai Shen, Liqiong Pu, Jiashan Zheng

Zeitschrift für angewandte Mathematik und Physik

DOI

2025

Global existence and boundedness for a multidimensional parabolic–elliptic Keller–Segel–(Navier–)Stokes system

Jiashan Zheng, Yuanyuan Ke

Journal of Evolution Equations

DOI

2025

Existence of global weak solution for a self-consistent Keller–Segel–Navier–Stokes system with tensor-valued sensitivity and signal production in three dimensions

Jiashan Zheng, Yuying Wang

Zeitschrift für angewandte Mathematik und Physik

DOI

2025

Decay profile for a multidimensional parabolic–elliptic Keller–Segel–(Navier–)Stokes system

Jiashan Zheng, Yuanyuan Ke

Zeitschrift für angewandte Mathematik und Physik

DOI

2025

Some Further Progress for Existence and Boundedness of Solutions to a Two-dimensional Chemotaxis-(Navier-) Stokes System Modeling Coral Fertilization

Jiashan Zheng, Kai-qiang Li

Acta Mathematicae Applicatae Sinica English Series

DOI

2025

Boundedness of the solution to a triply haptotactic cross-diffusion system modeling oncolytic virotherapy

Dayong Qi, Jiashan Zheng

Zeitschrift für angewandte Mathematik und Physik

DOI

2025

Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation

Liqiong Pu, Haotian Tang, Jiashan Zheng

Mathematical Methods in the Applied Sciences

DOI

2025

Sufficient conditions for global boundedness in inertial chemotaxis systems with logistic growth

Jiashan Zheng, Liqiong Pu

AIMS Mathematics

DOI

2024

吸引-排斥趋化系统解的全局存在性和有界性

郑甲山，姚正安，柯媛元

《中国科学:数学》

2024

Boundedness of solutions for parabolic-elliptic predator-prey chemotaxis-fluid system with logistic source term

Jiashan Zheng, Xiuran Liu, Peng-Mei Zhang

Journal of Differential Equations

DOI

2024

Blow-up prevention by indirect signal production mechanism in a two-dimensional Keller–Segel–(Navier–)Stokes system

Jiashan Zheng, Xiuran Liu

Zeitschrift für Angewandte Mathematik und Physik

DOI

2024

Boundedness of the solution to a higher-dimensional triply haptotactic cross-diffusion system modeling oncolytic virotherapy

Dayong Qi, Xueyan Tao, Jiashan Zheng

Journal of Evolution Equations

DOI

2024

Some progress for boundedness and stabilization in an $ N $-dimensional attraction-repulsion chemotaxis system with logistic source

Dayong Qi, Jiashan Zheng

Communications on Pure &amp Applied Analysis

DOI

2023

Some new results for the boundedness of solutions for a parabolic-elliptic predator-prey chemotaxis system

Jiashan Zheng, Xiuran Liu, Peng-Mei Zhang

Discrete and Continuous Dynamical Systems - B

DOI

2023

Some further progress for boundedness of solutions to a quasilinear higher–dimensional chemotaxis–haptotaxis model with nonlinear diffusion

Jiashan Zheng, Jianing Xie

Discrete and Continuous Dynamical Systems

DOI

2023

Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion

Jiashan Zheng, Pengmei Zhang, Xiuran Liu

Journal of Differential Equations

DOI

2023

Existence and Boundedness of solutions for A parabolic-elliptic Predator-Prey chemotaxis system

Jiashan Zheng, Xiuran Liu, Pengmei Zhang

Discrete and Continuous Dynamical Systems - B

DOI

2023

Large Time Behavior of Solutions to a 3D Keller-Segel-Stokes System Involving a Tensor-valued Sensitivity with Saturation

Yuanyuan Ke, Jiashan Zheng

Acta Mathematicae Applicatae Sinica English Series

DOI

2023

Some progress for global existence and boundedness in a multi-dimensional parabolic–elliptic two-species chemotaxis system with indirect pursuit-evasion interaction

Jiashan Zheng, Pengmei Zhang, Xiuran Liu

Applied Mathematics Letters

DOI

2023

Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy

Jiashan Zheng, Yuanyuan Ke

Mathematical Models and Methods in Applied Sciences

DOI

2023

A New Result for Global Existence and Boundedness in a Three-Dimensional Self-consistent Chemotaxis-Fluid System with Nonlinear Diffusion

Jianing Xie, Jiashan Zheng

Acta Applicandae Mathematicae

DOI

2022

Global classical solutions to a higher-dimensional doubly haptotactic cross-diffusion system modeling oncolytic virotherapy

Jiashan Zheng, Jianing Xie

Journal of Differential Equations

DOI

2022

Global existence and boundedness in an N-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and rotation

Jiashan Zheng, Dayong Qi

Journal of Differential Equations

DOI

2022

Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization

Jiashan Zheng, Yuanyuan Ke

Journal of Differential Equations

DOI

2022

Boundedness and stabilization of a three-dimensional parabolic-elliptic Keller-Segel-Stokes system

Pengmei Zhang, Jiashan Zheng

Discrete and Continuous Dynamical Systems

DOI

2022

Blow-up prevention by logistic source an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

Jiashan Zheng, Pengmei Zhang

Journal of Mathematical Analysis and Applications

DOI

2022

Blow-up prevention by logistic source in an $ N $-D chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis

Jiashan Zheng, Yuanyuan Ke

Communications on Pure &amp Applied Analysis

DOI

2022

Further study on the global existence and boundedness of the weak solution in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

Jiashan Zheng, Yuanyuan Ke

Communications in Nonlinear Science and Numerical Simulation

DOI

2022

Global Existence, Regularity and Boundedness in a Higher-dimensional Chemotaxis-Navier-Stokes System with Nonlinear Diffusion and General Sensitivity

Jiashan Zheng, Dayong Qi, Yuanyuan Ke

Calculus of Variations and Partial Differential Equations

DOI

2022

Global classical solutions of Keller-Segel-(Navier)-Stokes system with nonlinear motility functions

Jiashan Zheng, Jianing Xie

Journal of Mathematical Analysis and Applications

DOI

2022

Eventual smoothness and stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with rotational flux

Jiashan Zheng

Calculus of Variations and Partial Differential Equations

DOI

2021

具饱和发生率的随机SIR传染病模型的遍历性

牛新宇，吕闯，郑甲山

《东北师大学报(自然科学版)》

DOI

2021

A new result on existence of global bounded classical solution to a attraction-repulsion chemotaxis system with logistic source

Jianing Xie, Jiashan Zheng

Journal of Differential Equations

DOI

2021

Global bounded weak solutions for a chemotaxis-Stokes system with nonlinear diffusion and rotation

Jiashan Zheng, Yuanyuan Ke

Journal of Differential Equations

DOI

2021

Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System

Jiashan Zheng

Journal of Mathematical Fluid Mechanics

DOI

2021

Global existence and boundedness in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

Jiashan Zheng

Annali di Matematica Pura ed Applicata (1923 -)

DOI

2021

A new result for the global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term

Dayong Qi, Jiashan Zheng

Zeitschrift für angewandte Mathematik und Physik

DOI

2020

A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization

Jiashan Zheng

Journal of Differential Equations

DOI

2015

与次微分算子相关的非线性抛物型系统的定性研究

郑甲山

《北京理工大学》

2010

具有相异奇性的拟线性边界退化椭圆边值问题正解的存在性及正则性

徐中海，郑甲山，冯振国

《吉林大学学报(理学版)》

2009

具有奇性的拟线性边界退化椭圆边值问题正解的存在性及正则性

徐中海，冯振国，郑甲山

《厦门大学学报(自然科学版)》

精选作品

期刊论文

关于资本诱导劳动迁移的趋化型索洛-斯旺经济增长模型的一些进展

复杂生物学背景下的细胞种群动态：多角度趋化模型的理论前沿与未解问题

Global existence in a 3D chemotaxis-Stokes system with signal-dependent motion

Asymptotic Behavior of a 3D Chemotaxis-Stokes Predator–Prey System Incorporating Logistic Growth

Global Dynamics of Keller-Segel-Stokes System with Density-Dependent Motion

Global solvability, boundedness and stabilization to a three-dimensional chemotaxis-Stokes system modeling coral fertilization

Existence and boundedness of the classical global solution to 2D chemotaxis-fluid system with double chemical signals

Global boundedness of an N-D chemotactic tumor immune evasion system

Global classical solution of chemotaxis-haptotaxis model with re-establishment mechanisms

Global boundedness for three-dimensional Keller–Segel–Stokes system modeling indirect signal production with nonlinear diffusion

Global Solvability and Uniform Boundedness of Classical Solution for Chemotaxis System of Immune Responses to Solid Tumors

On the Existence of Solutions for a Three-Dimensional Keller–Segel–Navier–Stokes System with Indirect Signal Production

Boundedness of classical solutions for a chemotaxis model with nonlinear signal production

Optimal Regularity and the Sharp Saturation Exponent for the 3D Keller–Segel–Stokes System

Global bounded weak solution in three dimensional chemotaxis-fluid coupled May-Nowak system with nonlinear diffusion and virus propagation

Some progress on global solvability and boundedness of solutions for taxis-dominated May-Nowak type system with virus infection and nonlinear diffusion kinetics

Blow-up prevention by the dampening role of superlinear logistic-type kinetics in an N-dimensional parabolic-parabolic chemotaxis-consumption system

An Optimal Result on Global Well-Posedness of Bounded Weak Solution for Quasilinear May-Nowak-fluid System with Nonlinear Diffusion Term and Immune Chemokine in Two Dimensions

Some further progress on global existence for chemotaxis system involving synchronous production and signal consumption

Global existence and boundedness in a tumor-immune evasion model incorporating logistic growth and chemotactic migration

Some new results for the well-posedness of solutions for a parabolic-parabolic-elliptic chemotaxis model

Global and bounded solutions for a cross-diffusion chemotaxis model with flux limitation

Global existence and regularity in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production

A class of models with a nonlinear indirect chase-and-escape effect

Existence of globally bounded solutions for a predator-prey system with indirect taxis-driven pursuit-evasion and parabolic-elliptic signal

Global existence and boundedness of classical solutions in chemotaxis-(Navier-)Stokes system with singular sensitivity and self-consistent term

Blow-up prevention and rate of convergence of solutions for N-dimensional parabolic-parabolic systems with consumption of chemoattractant

Global existence and eventual smoothness for a 2-dimensional Keller-Segel system with nonlinear logistic source

A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions

Blow-up prevention by subquadratic and quadratic degradations in a three-dimensional Keller–Segel–Stokes system with indirect signal production

Existence and boundedness of solutions for a parabolic-parabolic predator-prey model

Global existence and classical boundedness of solutions in a two-dimensional chemotaxis-Stokes system involving logistic source term

Global existence and boundedness for a multidimensional parabolic–elliptic Keller–Segel–(Navier–)Stokes system

Existence of global weak solution for a self-consistent Keller–Segel–Navier–Stokes system with tensor-valued sensitivity and signal production in three dimensions

Decay profile for a multidimensional parabolic–elliptic Keller–Segel–(Navier–)Stokes system

Some Further Progress for Existence and Boundedness of Solutions to a Two-dimensional Chemotaxis-(Navier-) Stokes System Modeling Coral Fertilization

Boundedness of the solution to a triply haptotactic cross-diffusion system modeling oncolytic virotherapy

Smooth Solution in an N‐Dimensional Chemotaxis Model With Intraguild Predation

Sufficient conditions for global boundedness in inertial chemotaxis systems with logistic growth

吸引-排斥趋化系统解的全局存在性和有界性

Boundedness of solutions for parabolic-elliptic predator-prey chemotaxis-fluid system with logistic source term

Blow-up prevention by indirect signal production mechanism in a two-dimensional Keller–Segel–(Navier–)Stokes system

Boundedness of the solution to a higher-dimensional triply haptotactic cross-diffusion system modeling oncolytic virotherapy

Some progress for boundedness and stabilization in an $ N $-dimensional attraction-repulsion chemotaxis system with logistic source

Some new results for the boundedness of solutions for a parabolic-elliptic predator-prey chemotaxis system

Some further progress for boundedness of solutions to a quasilinear higher–dimensional chemotaxis–haptotaxis model with nonlinear diffusion

Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis-fluid system with indirect pursuit-evasion

Existence and Boundedness of solutions for A parabolic-elliptic Predator-Prey chemotaxis system

Large Time Behavior of Solutions to a 3D Keller-Segel-Stokes System Involving a Tensor-valued Sensitivity with Saturation

Some progress for global existence and boundedness in a multi-dimensional parabolic–elliptic two-species chemotaxis system with indirect pursuit-evasion interaction

Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy

A New Result for Global Existence and Boundedness in a Three-Dimensional Self-consistent Chemotaxis-Fluid System with Nonlinear Diffusion

Global classical solutions to a higher-dimensional doubly haptotactic cross-diffusion system modeling oncolytic virotherapy

Global existence and boundedness in an N-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and rotation

Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization

Boundedness and stabilization of a three-dimensional parabolic-elliptic Keller-Segel-Stokes system

Blow-up prevention by logistic source an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction

Blow-up prevention by logistic source in an $ N $-D chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis

Further study on the global existence and boundedness of the weak solution in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

Global Existence, Regularity and Boundedness in a Higher-dimensional Chemotaxis-Navier-Stokes System with Nonlinear Diffusion and General Sensitivity

Global classical solutions of Keller-Segel-(Navier)-Stokes system with nonlinear motility functions

Eventual smoothness and stabilization in a three-dimensional Keller–Segel–Navier–Stokes system with rotational flux

具饱和发生率的随机SIR传染病模型的遍历性

A new result on existence of global bounded classical solution to a attraction-repulsion chemotaxis system with logistic source

Global bounded weak solutions for a chemotaxis-Stokes system with nonlinear diffusion and rotation

Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System

Global existence and boundedness in a three-dimensional chemotaxis-Stokes system with nonlinear diffusion and general sensitivity

A new result for the global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term

A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization

与次微分算子相关的非线性抛物型系统的定性研究

具有相异奇性的拟线性边界退化椭圆边值问题正解的存在性及正则性

具有奇性的拟线性边界退化椭圆边值问题正解的存在性及正则性

预印本

Global existence and boundedness in a two-dimensional self-consistent chemotaxis-Navier-Stokes system

Blow-Up Prevention by Nonlinear Diffusion in a Higher-Dimensional Chemotaxis System with Nonlinear Diffusion

Boundedness and Global Asymptotic Stability for A Parabolic-Elliptic-Ode Chemotaxis-Haptotaxis Model with Remodeling of Non-Diffusible Attractant

Global existence and asymptotic behavior of a triply haptotactic cross-diffusion model for oncolytic virotherapy

Global-in-Time Bounded Weak Solutions to a Multidimensional Quasilinear Chemotaxis Model for Tumor Invasion