民族

汉

政治面貌

中共党员

职称/职务

教授

毕业学校

北京理工大学

学位

博士

专业

应用数学

研究方向

流体力学与偏微分方程理论

通信地址

中国山东省烟台市莱山区清泉路30号

邮编

264005

联系电话

E-mail

zhengjiashan2008@163.com

个 人 履 历

时　间

单位

经　历

2017.12-2021.01

鲁东大学 数学与统计科学学院  

副教授

2021.01至今

烟台大学 数学与信息科学学院  

副教授

主 讲   课 程

数学分析、常微分方程等

教 学   成 果

科 研   项 目

1.山东省省属高校优秀青年基金：与chemotaxis-(Navier)-Stokes相关的模型的理论分析及其应用，批准号：ZR2018JL005，主持人,24万，2018年3月--2020年12月; 结题；

2.国家自然科学青年基金：与趋化性系统相关的模型的理论研究，批准号： 11601215，2017年1月-2019年12月，主持人，19万，结题；

3. .第12批博士后特别资助: 凯勒-西格尔(-纳维)-斯托克斯系统若干问题的研究 ,批准号：2019T120168，2019年7月-2021年9月，主持人，18万，结题；

4.山东省自然科学青年基金: 与趋化性机制相关的模型解的定性分析,批准号：ZR2016AQ17，2016年7月-2018年7月，主持人，9万，结题；

5.第65批博士后基金，批准号：2019M650927，2019年7月-2020年9月，主持人，8万，结题。

科 研 论 文

[51] Jiashan Zheng ∗,Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux,  Calculus of Variations and Partial Differential Equations, 已接受待发表.

[50]Dayong Qi and Jiashan Zheng，A new result for the global existence and boundedness of weak solutions to a chemotaxis-Stokes system with rotational flux term，Z. Angew. Math. Phys. (2021) 72:88.

[49]Jianing Xie , Jiashan Zheng ∗, A new result on existence of global bounded classical

solution to a attraction-repulsion chemotaxis system

with logistic source,

Journal of Differential Equations， 298 (2021) 159–181 (SCI 大类二区权威IF 2.26).

[48] Jiashan Zheng ∗, Yuanyuan Ke, Global bounded weak solutions for a chemotaxis-Stokes

system with nonlinear diffusion and rotation,

Journal of Differential Equations, 289 (2021) 182–235. (SCI 大类二区权威IF 2.26).

[47] Zhi-An Wang, Jiashan Zheng ∗,

Global Boundedness of the Fully Parabolic Keller-Segel

System with Signal-Dependent Motilities, Acta Appl Math, (2021) 171:25.  (SCI 大类三区权威IF 1.6).

[46]Jiashan Zheng ∗ ,  Global Classical Solutions and Stabilization in a Two-Dimensional Parabolic-Elliptic Keller–Segel–Stokes System，Journal of Mathematical Fluid Mechanics, 23(2021), 1--25. (SCI 大类三区权威IF 1.6).

[45]Jiashan Zheng ∗ , Global existence and boundedness in a three‑dimensional

chemotaxis‑Stokes system with nonlinear diffusion

and general sensitivity， Annali di Matematica Pura ed Applicata，https://doi.org/10.1007/s10231-021-01115-4 (SCI 大类二区权威IF 2.0).

[44]Ling Liu，Jiashan Zheng ∗ , Gui Bao，Weifang Yan, A new (and optimal)

result for the boundedness of a solution of a quasilinear chemotaxis–haptotaxis model

(with a logistic source), Journal of Mathematical Analysis and Applications,

491(2020), 124231.

[43]Jiashan Zheng ∗ ,A new result for the global existence (and boundedness) and regularity of a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization，Journal of Differential Equations,272（2021）, 164-202 (SCI 大类二区权威IF 2.26).

[42] Ling Liu，郑甲山*, A new result for boundedness in the

quasilinear parabolic–parabolic Keller–Segel model (with logistic source， Computers & Mathematics with Applications, 2019，(4)(79)( 2020), 1208-1221 （SCI 大类二区IF 2.64).

[41] 郑甲山, Yuanyuan Ke，Blow-up prevention by nonlinear diffusion in a 2D Keller-Segel-Navier-Stokes system with rotational flux, Journal of Differential Equations, （11）(268)(2020), 7092-7120 (SCI 大类二区权威IF 2.26).

[40] Ling Liu，郑甲山*, Gui Bao，Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization, Discrete and Continuous Dynamical Systems-Series B, 25(2020), 3437-3460. (SCI 大类三区IF 1.12).

[39] Yuanyuan Ke, 郑甲山*, An optimal result for global existence in a three-dimensional Keller--Segel--Navier--Stokes system involving tensor-valued sensitivity with saturation, Calculus of Variations and Partial Differential Equations, 2019, 58(3): 109. (SCI大类二区权威IF 1.738).

[38] 郑甲山*, Yuanyuan Ke, Large time behavior of solutions to a fully parabolic chemotaxis--haptotaxis model in $N$ dimensions, Journal of Differential Equations， 266 (2019) ，1969–2018. (SCI大类二区权威IF 2.26).

[37]郑甲山*，An optimal result for global existence and boundedness in a three-dimensional Keller-Segel-Stokes system with nonlinear diffusion，

Journal of Differential Equations，267(4) (2019), 2385-2415. (SCI大类二区权威IF 2.26).

[36] Xinchao Song，郑甲山*，A new result for global solvability and boundedness in the N-dimensional quasilinear chemotaxis model with logistic source and consumption of chemoattractant, Journal of Mathematical Analysis and Applications,(475)(1)(2019),895-917. (SCI大类三区IF 1.31).

[35] Ling Liu,郑甲山*, Global existence and boundedness of solution of a parabolic--ODE--parabolic chemotaxis--haptotaxis model with (generalized) logistic source, Discrete and Continuous Dynamical Systems-Series B, 24.7 (2019): 3357-3377. (SCI大类三区IF 1. 12).

[34] YuanYuan Ke， 郑甲山*, A note for global existence of a

two-dimensional chemotaxis-haptotaxis model with remodeling of non-diffusible attractant, Nonlinearity, 31(2018) 4602–4620 。(SCI大类二区权威IF 2.06).

[33] 郑甲山*, Yanyan Li， A new result for global existence and boundedness of solutions to a parabolic--parabolic Keller--Segel system with logistic source, Journal of Mathematical Analysis and Applications, 462(1)(2018), 1--25. (SCI 大类三区IF 1.31).

[32]郑甲山* , Global weak solutions in a three-dimensional Keller–Segel–Navier–Stokes system with nonlinear diffusion，Journal of Differential Equations, 263(2017), 2606-2629. (SCI 大类二区权威IF 2.26).

[31]郑甲山* , Boundedness of solution of a higher-dimensional parabolic-ODE-parabolic chemotaxis--haptotaxis model with generalized logistic source, Nonlinearity, 30(2017) ,1987-2009 . (SCI 大类二区权威IF 2.06)

[30] 郑甲山*,Boundedness of solutions to a quasilinear higher-dimensional

chemotaxis-haptotaxis model with nonlinear diffusion, Discrete and Continuous Dynamical Systems- Series A, (37)(1)(2017), 627-643. (SCI 大类三区IF 1.35).

[29] 郑甲山*, Yifu Wang, A note on global existence to a higher-dimensional quasilinear chemotaxis system with consumption of chemoattractant，Discrete and Continuous Dynamical Systems - Series B, (22)(2)(2017), 669-686. (SCI大类三区IF 1. 12).

[28]郑甲山*, A note on boundedness of solutions to a higher-dimensional quasi-linear chemotaxis system with logisticsource,Zeitschriftfür Angewandte Mathematik und Mechanik, (97)(4)(2017) , 414-421. (SCI大类二区IF 1.332).

[27]郑甲山*, Boundedness and global asymptotic stability of constant equilibria in a fully parabolic chemotaxis system with nonlinear a logistic source，Journal of Mathematical Analysis and Applications, 450(2017), 1047-1061. (SCI 大类二区IF 1.064).

26]郑甲山*,Boundedness in a two-species quasi-linear chemotaxis system with two chemicals, Topological methods in nonlinear analysis, (49)(2)(2017), 463-480. (SCI 大类三区IF 0. 667).

[25]郑甲山*, Yifu Wang, Boundedness and decay behavior in a higher dimensional quasilinear chemotaxis system with nonlinear logistic source, Computers & Mathematics with Applications, 72(10)(2016), 2604-2619. (SCI 大类三区IF 1.531).

[24]郑甲山*, Critical blow-up exponents for a non-local reaction-diffusion equation with nonlocal source and interior absorption, Nonlinear Analysis-Modelling and Control  journal, 21(5)(2016), 600-613. (SCI 大类二区IF 2.03).

[23]郑甲山*, Boundedness in a three-dimensional chemotaxis--fluid system involving the tensor-valuedsensitivity with saturation, Journal of Mathematical Analysis and Applications, 442(1) (2016), 353-375. (SCI 大类三区IF 1.120).

[22]Yifu Wang, 郑甲山*, Periodic solutions to a class of biological diffusion models with hysteresis effect, Nonlinear Analysis: Real World Applications, (27)(2016)，297--311. (SCI 大类一区IF  IF 2.519).

[21]郑甲山, The bang-bang principle of time optimal controls for the

Kuramoto-Sivashinsky-KdV equation with internal control, International Journal of Robust and Nonlinear Control, (26)2016，1667–1685.  (SCI 大类二区IIF 3.176).

[20]郑甲山*, Yifu Wang, Boundedness of solutions to a quasilinear chemotaxis--haptotaxis model, Computers & Mathematics with Applications, 71(2016), 1898--1909.  (SCI IF 1.697).

[19]郑甲山*, Optimal control problem for Lengyel--Epstein model with obstacles and state constraints, Nonlinear Analysis-Modelling and Control, 21(1)(2016), 18--39. (SCI 大类二区 IF1.099).

[18]郑甲山*, Uniform blow-up rate for nonlocal diffusion equations with nonlocal nonlinear source, (39)(1),2016, Tokyo Journal of Mathematics. (SCI 大类四区IF 0.219)

[17]Ji Liu，Yifu Wang，郑甲山，Periodic solutions of a multi-dimensional Cahn-Hilliard equation，Electronic Journal of Differential Equations，(42)(2016), 1--23. (SCI 大类四区IF0.524).

[16]Ji Liu，郑甲山，Yifu Wang， Boundedness in a quasilinear chemotaxis-haptotaxis system with logistic source, Zeitschrift für angewandte Mathematik und Physik, 67(2) ,2016 DOI: 10.1007/s00033-016-0620-8. (SCI IF1.109).

[14]郑甲山, Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source, Journal of Differential Equations, 259(1)(2015), 120--140.  (SCI 大类二区权威IF 1.680). （该论文为ESI高被引论文）

[13]郑甲山, Yifu Wang, Well-posedness for a class of biological diffusion models with hysteresis effect, Zeitschrift für angewandte Mathematik und Physik, 66(3)(2015), 771--783. (SCI 大类二区 IF 1.109).

[12]郑甲山, Boundedness of solutions to a quasilinear parabolic--parabolic Keller--Segel system with logistic source, Journal of Mathematical Analysis and Applications, 431(2),2015, 867–888. (SCI 大类二区 IF 1.120).

[11]郑甲山, Yifu Wang, Periodic solutions of non-isothermal phase separation models with constraint, Journal of Mathematical Analysis and Applications, 432(2015), 1018--1038. (SCI大类二区 IF 1.120).

[10]郑甲山, Yuanyuan Ke, Yifu Wang, Periodic solutions to a heat equation with hysteresis in the source term, Computers & Mathematics with Applications, 69(2)(2015), 134--143.  (SCI 大类三区 IF 1.697).

[9]郑甲山*, Optimal controls of multi-dimensional modified Swift-Hohenberg equation, International Journal of Control, 88(10)2015，2117--2125. (SCI 大类三区 IF 1.654 ).

[8] 郑甲山*, Yifu Wang,Optimal control problem for Cahn-Hilliard equations with state constraint, Journal of Dynamical and Control Systems, 21(2)(2015), 257--272. (SCI大类四区  IF 0.492).

[7]Ji Liu, 郑甲山, Boundedness in a quasilinear parabolic-parabolic chemotaxis system with nonlinear logistic source, Czechoslovak Mathematical Journal, 65(4)2015, 1117--1136. (SCI大类四区 IF 0.288).

[6]郑甲山*, Yifu Wang, Boundedness of solutions to a quasilinear parabolic—parabolic Keller--Segel system with supercritical sensitivity and logistic source,8th International Congress on Industrial and Applied Mathematics. ( EI).

[5]郑甲山*, Time optimal controls of the Lengyel-Epstein model with internal control, Applied Mathematics & Optimization, 70(2)(2014), 345--371. (SCI 大类三区IF 0.591).

[4] 郑甲山*, Time optimal controls of the Cahn--Hilliard equation with internal control, Optimal Control Applications and Methods, 36(4)2014, 566–582 . (SCI大类三区IF 0.903).

[3]郑甲山*, Yifu Wang, Time Optimal Controls of the Fitzhugh-Nagumo Equation with Internal Control, Journal of Dynamical and Control Systems,19(4)(2013), 483--501. (SCI 大类四区IF 0.492).

[2]Zhonghai Xu , 郑甲山, Zhenguo Feng, Existence and regularity of nonnegative solution of a singular quasi-linear anisotropic elliptic boundary value problem with gradient terms. , 74(3)( 2011), 739--756. (SCI大类二区 IF 1.327).

[1]Zhonghai Xu , Zhenguo Feng, 郑甲山, Existence and regularity of solution of mixed boundary value problem of Keldysh-equation with nonlinear absorb term， Nonlinear Analysis: Theory, Methods & Applications, 74(1) (2011), 1--8. (SCI大类二区 IF 1.327).

指 导   研 究 生   情 况