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郑甲山

作者: 时间:2021-11-22 点击数:

教师简介

姓名

郑甲山

性别

出生年月

1984. 10


民族

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

时间

单位

经历

2004.09--2008.06

临沂大学

理学院数学与应用数学专业本科,获理学学士学位

2008.09--2011.06

东北电力大学

理学院应用数学数学专业硕士研究生,获理学硕士学位

导师:徐中海教授

2011.09--2015.06

北京理工大学

数学与统计学院应用数学数学专业博士研究生,获理学博士学位

导师:王一夫教授.

2019.09--2021.07

中国人民大学

数学学院在职博士后

合作导师:柯媛元教授

2015.07--2021.01

鲁东大学数学与统计学院

历任讲师、副教授

2021.01至今

烟台大学数学与信息科学学院

历任副教授、教授

数学分析、常微分方程、高等数学、实变函数、现代偏微分方程导论、线性偏微分方程、反应扩散方程等

业绩综述

博士生导师和硕士生导师.山东省杰出青年基金和山东省优秀青年基金获得者,获得首届山东数学会青年数学奖、山东省优秀研究生导师和山东省优秀硕士论文指导教师.主要面向生物科学与力学及物理学、医学与流体动力学等领域偏微分方程的数学问题,主要开展趋化-(Navier-)Stokes相关模型、非线性抛物型方程与流体动力学方程等学科领域的热点问题研究.曾主持/完成山东省杰出青年基金、山东省优秀青年基金、国家自然科学基金、中国博士后特别资助和博士后面上资助、山东省自然科学青年基金等多项基金,并在《Calculus of Variations and Partial Differential Equations》、《Mathematical Models & Methods in Applied Sciences》、《Journal of Differential Equations》、《Nonlinearity》等顶级期刊发表SCI论文110余篇,包含6篇ESI高被引论文, (2021年至今)连续五年入选“全球前2%顶尖科学家榜单”.已被包括国际数学家大会45分钟报告人、长江学者特聘教授、顶级期刊《Mathematical Models & Methods inApplied Sciences》主编、《Journal of Differential Equations》等著名杂志编委在内的多名数学专家引用总次数2000余次.应国际物理科学院院士Hari M. Srivastava教授所邀在Springer杂志合作撰写趋化-Navier-Stokes相关模型的专著.应邀担任国际期刊《American Journal of Applied Mathematics》、《Mathematics and Computer Science》和《World Journal of Mathematics and Statistics》和《Applied and Computational Mathematics》的编委;应邀参加中国数学会第十三次全国代表大会并作报告;应邀担任美国《Mathematical Reviews》评论员和德国《数学文摘》评论员.

科研奖励

1.国际SCI杂志Journal Mathematics and Computer Science的客座主编

2.美国《数学评论》评论员,编号123449

3.《德国数学文摘》评论员,编号18029

4.应邀担任《Journal of the European Mathematical Society》、《European Journal of Applied Mathematics》、《SIAM》系列、《Calculus of Variations and Partial Differential Equations》、《Journal of Differential Equations》、《Nonlinearity》、《Discrete and Continuous Dynamical Systems》《Journal of Mathematical Analysis and Applications》、《Nonlinear Analysis : Theory, Methods & Applications》等几十种SCI杂志的特约审稿人

5.国际《Mathematics and Computer Science》和《Applied and Computational Mathematics》杂志的编委

6.国际《American Journal of Applied Mathematics》杂志的编委

7.《Asian Journal of Control》、《Mathematical Methods in the Applied Sciences》等杂志的最佳审稿人

8. 2017年,申请人被邀请在美国数学研究所(AIMS)旗下的动力学国际会议上组织一个特别会议

9.指导学生获第七届山东省师范类高校学生从业技能大赛一等奖,本人荣获优秀指导教师奖

10.应邀参加中国数学会第十三次全国代表大会并做分组报告

11.应邀担任Bentham Science杂志社的图书编辑(Book Editor)

12.连续五年入选“全球前2%顶尖科学家榜单”

13.首届山东数学会青年数学奖(每两年一届,每次不超过4人)

14.应邀担任长江学者特聘教授、国家优青等人才类和科学基金的函评专家

15. 2025年山东省优秀研究生导师

16. 2025年10月指导学生获得山东省研究生创新成果奖(本人为其导师)

17. 2026年1月山东省优秀硕士论文指导教师

科研项目

8.国家自然科学基金地区项目《具繁衍-休眠-坏死三层结构的肿瘤生长自由边界问题的定性研究》(项目编号:12561035),第二参与人, 27万, 2025.9--至今,在研

7.山东省自然科学基金面上项目《刻画肿瘤生长和治疗的趋触性相关模型的理论分析》(项目编号:ZR2025MS14,)主持, 10万, 2025.9--至今,在研

6.山东省杰出青年基金项目《来源于流体力学的几类生物趋化数学模型的理论分析》(项目编号: ZR2022JQ06),主持, 100万, 2022.9--至今,在研

5.山东省优秀青年基金《与chemotaxis-(Navier)-Stokes相关的模型的理论分析及其应用》(项目编号: ZR2018JL005),主持, 24万, 2018.3--2020.12,结题

4.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》(项目编号: 11601215),主持, 19万, 2017.1--2019.12,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》(项目编号: 2019T120168),主持, 18万, 2019.7-- 2021.9,结题

2.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》(项目编号: ZR2016AQ17),主持, 9万, 2016.7--2018.7,结题

1.第65批博士后基金(项目编号: 2019M650927),主持, 8万, 2019.7--2020.9,结题

科研 论文

[118]郑甲山,Yuanyuan Ke*,Global classical solution of chemotaxis-haptotaxis model with re-establishment mechanisms,Communications in Mathematical Sciences, 2026(24),2331--2357.

[117]Xiaoping Song, 郑甲山*, Globalsolvability anduniformboundedness ofclassicalsolution forchemotaxissystem ofimmuneresponses tosolidtumors,Applied Mathematics & Optimization, 2026(94), 55.

[116] Haotian Tang,郑甲山*,Global solvability in a higher-dimensional chemotaxis system for alopecia areata: Nonlinear proliferation versus logistic degradation,Discrete and Continuous Dynamical Systems, 2026(58), 222--252.

[115] Zhichao Gao,郑甲山*,On theexistence ofsolutions for athree-dimensional Keller-Segel-Navier-Stokessystem withindirectsignal production,Applied Mathematics & Optimization, 2026(94), 35.

[114]郑甲山, Yongxiu Shi*,Boundedness ofclassicalsolutions for achemotaxismodel withnonlinearsignalproduction,Zeitschrift für angewandte Mathematik und Physik, 2026(77), 222.

[113]郑甲山, Jianing Xie*,Global solvability, boundedness and stabilization to a three-dimensional chemotaxis-Stokes system modeling coral fertilization,Journal of Differential Equations, 2026(480), 114616.

[112]郑甲山,Yuying Wang*,Some progress on global solvability and boundedness of solutions for taxis-dominated May-Nowak type system with virus infection and nonlinear diffusion kinetics,Nonlinear Analysis: Real World Applications,2026(92), 104628.

[111]Liqiong Pu, 郑甲山*,Optimalregularity and thesharpsaturationexponent for the 3D Keller-Segel-Stokessystem,Applied Mathematics & Optimization,2026(93), 71.

[110]郑甲山,Yuying Wang*, Global bounded weak solution in three dimensional chemotaxis-fluid coupled May-Nowak system with nonlinear diffusion and virus propagation,Zeitschrift für angewandte Mathematik und Physik,2026(77), 130.

[109]Kaiqiang Li*, Yingying Li,郑甲山,Global existence in a 3D chemotaxis-Stokes system with signal-dependent motion,Journal of Evolution Equations,2026(26), 55.

[108]Cunsai Shen,郑甲山,Liqiong Pu*,Global existence and boundedness in a tumor-immune evasion model incorporating logistic growth and chemotactic migration,Journal of Evolution Equations,2026(26), 49.

[107]Cunsai Shen,郑甲山,Liqiong Pu*,Asymptoticbehavior of a 3Dchemotaxis-Stokespredator-preysystemincorporatinglogisticgrowth,Applied Mathematics & Optimization,2026(93), 51.

[106]郑甲山,Yuying Wang*,Blow-up prevention by the dampening role of superlinear logistic-type kinetics in an N-dimensional parabolic-parabolic chemotaxis-consumption system,Nonlinear Differential Equations and Applications NoDEA,2026(33), 57.

[105]郑甲山,Yuying Wang*, Anoptimalresult onglobalwell-posedness ofboundedweaksolution forquasilinear May-Nowak-fluidsystem withnonlineardiffusionterm andimmunechemokine intwodimensions,Applied Mathematics & Optimization,2026(93), 38.

[104]Shengquan Liu, Dongpu Li,郑甲山*, Existence and boundedness of the classical global solution to 2D chemotaxis-fluid system with double chemical signals,Electronic Journal of Differential Equations,2026(2026), 1--22.

[103] 郑甲山,Yuying Wang*, Some further progress on global existence for chemotaxis system involving synchronous production and signal consumption, Zeitschrift für angewandte Mathematik und Physik, 2026(77), 46.

[102] Xiaoping Song,郑甲山*,Globalexistence andboundedness ofweaksolutions for a three-speciespredator-preysystem with p-Laplaciandiffusion,Applied Mathematics & Optimization,2026(93), 23.

[101] Kaiqiang Li, Yingying Li*, 郑甲山,Globaldynamics of Keller-Segel-Stokessystem withdensity-dependentmotion,Results in Mathematics, 2026(81), 34.

[100] Cunsai Shen, Liqiong Pu*, 郑甲山,Global existence and classical boundedness of solutions in a two-dimensional chemotaxis- Stokes system involving logistic source term,Zeitschrift für angewandte Mathematik und Physik, 2025(76), 1--26.

[99] Chuchu Du, Kaiqiang Li*, 郑甲山, Global and bounded solutions for a cross-diffusion chemotaxis model with flux limitation,Discrete and Continuous Dynamical Systems Series-B, 2025(35), 52--65.

[98] Ling Liu,郑甲山*,Some progress on the chemotaxis-type Solow-Swan model for economic growth with capital-induced labor migration,数学物理学报(中文版),2025.

[97] 郑甲山,Yuying Wang*, Blow-up prevention and rate of convergence of solutions for N-dimensional parabolic-parabolic systems with consumption of chemoattractant,Electronic Journal of Differential Equations, 2025(2025), 1--21.

[96] 郑甲山,Yuying Wang*, Existence of global weak solution for a self-consistent Keller-Segel-Navier-Stokes system with tensor-valued sensitivity and signal production in three dimensions,Zeitschrift für angewandte Mathematik und Physik, 2025(76), 216.

[95]Yuxuan Liang,Chuchu Du,郑甲山,Kaiqiang Li*,Existence of globally bounded solutions for a predator-prey system with indirect taxis-driven pursuit-evasion and parabolic-elliptic signal,Electronic Research Archive,2025(33), 4222--4240.

[94] 郑甲山, Liqiong Pu*, Sufficient conditions for global boundedness in inertial chemotaxis systems with logistic growth,AIMS Mathematics,2025(10), 20626--20641.

[93] Fengxiang Zhao, Kaiqiang Li*,郑甲山,Some new results for the well-posedness of solutions for a parabolic-parabolic-elliptic chemotaxis model,Discrete and Continuous Dynamical Systems Series-B,2025(30), 3646--3662.

[92] 郑甲山, Yuanyuan Ke*, Global existence and eventual smoothness for a 2-dimensional Keller-Segel system with nonlinear logistic source,Journal of Differential Equations, 2025(437), 113293.

[91] 郑甲山,Jianing Xie*, Global existence and regularity in a three-dimensional Keller-Segel-Navier-Stokes system with indirect signal production, Discrete and Continuous Dynamical Systems, 2025(45), 4388--4426.

[90] 郑甲山,Yuanyuan Ke*, Decay profile for a multidimensional parabolic-elliptic Keller-Segel-(Navier-)Stokes system, Zeitschrift für angewandte Mathematik und Physik, 2025(76), 187.

[89]郑甲山, Kaiqiang Li*,Somefurtherprogress forexistence andboundedness ofsolutions to atwo-dimensionalchemotaxis- (Navier-)Stokessystemmodelingcoralfertilization,Acta Mathematicae Applicatae Sinica, English Series, 2025, 1--32.

[88] CunsaiShen, Liqiong Pu*,郑甲山,A class of models with a nonlinear indirect chase-and-escape effect, Discrete and Continuous Dynamical Systems Series-B, 2026(32),427--442.

[87]Kaiqiang Li,郑甲山, Haotian Tang*, Boundedness and asymptotic behavior in a parabolic-elliptic pursuit-evasion system with signal-dependent diffusion and sensitivity, Zeitschrift für angewandte Mathematik und Physik, 2025(76), 63.

[86]Dayong Qi, 郑甲山*,Boundedness of the solution to a triply haptotactic cross-diffusion system modeling oncolytic virotherapy, Zeitschrift für angewandte Mathematik und Physik, 2025(76), 91.

[85] Yingying Li, Kaiqiang Li*,Liqiong Pu,郑甲山,On the existence of globally bounded solutions for a spatial Solow-Swan model with density-dependent motion,Nonlinear Analysis: Real World Applications, 2026(87), 104453.

[84]Yuying Wang, Liqiong Pu*, 郑甲山,Global existence and boundedness of classical solutions in chemotaxis-(Navier-)Stokes system with singular sensitivity and self-consistent term,Applied Mathematics Letters,2025(166), 109518.

[83] Shengquan Liu, 郑甲山*, A new result for global solvability of a Keller-Segel-Navier-Stokes system with nonlinear diffusion and matrix-valued sensitivities in three dimensions, Journal of Differential Equations, 2025(426),721--759.

[82] KaiGao, Seong Tae Jhang, Shaoguang Shi*,郑甲山, Blow-up prevention by subquadratic and quadratic degradations in a three- dimensional Keller-Segel-Stokes system with indirect signal production, Journal of Differential Equations, 2025(423),324--437.(该论文为ESI高被引论文)

[81]Fengxiang Zhao,Haotian Tang,郑甲山,Kaiqiang Li*,Existence and boundedness of solutions for a parabolic-parabolic predator-prey model, Electronic Journal of Differential Equations, 2025(2025), 1--17.

[80] Liqiong Pu, Haotian Tang*,郑甲山,Smooth solution in an N-dimensional chemotaxis model with intraguild predation,Mathematical Methods in the Applied Sciences, 2025(48),427--442.

[79]Dayong Qi, Xueyan Tao,郑甲山*, Boundedness of the solution to a higher-dimensional triply haptotactic cross-diffusion system modeling oncolytic virotherapy, Journal of Evolution Equations, 2025(25), 9.

[78]Fengxiang Zhao,郑甲山, Kaiqiang Li*, Global existence and boundedness to an ND chemotaxis-convection model during tumor angiogenesis, Nonlinear Analysis: Real World Applications, 2025(82), 104257.

[77] 郑甲山,Zheng-an Yao, Yuanyuan Ke*,Global existence and boundedness for an attraction-repulsion chemotaxis system,Science China Mathematics, https://doi.org/10.1360/SSM-2024-0090.

[76] Dayong Qi,郑甲山*,Some progress for boundedness and stabilization in an N-dimensional attraction-repulsion chemotaxis system with logistic source,Communications on Pure and Applied Analysis, 2024(23),916--934.

[75] 郑甲山,Xiuran Liu*, Blow-up prevention by indirect signal production mechanism in a two-dimensional Keller-Segel-(Navier-) Stokes system,Zeitschrift für angewandte Mathematik und Physik,2024(75), 1--34.

[74] 郑甲山,Jianing Xie*,Some further progress for boundedness of solutions to a quasilinear higher-dimensional chemotaxis-haptotaxis model with nonlinear diffusion,Discrete and Continuous Dynamical Systems,2024(44), 18--60.

[73] 郑甲山, Pengmei Zhang*, Xiuran Liu, Some progress for global existence and boundednessin a multi-dimensional parabolic-elliptic two-species chemotaxis system with indirect pursuit-evasion interaction,Applied Mathematics Letters,2023(144), 108729.

[72]郑甲山, Xiuran Liu*, Pengmei Zhang, Boundedness of solutions for parabolic-elliptic predator-prey chemotaxis-fluid system with logistic source term,Journal of Differential Equations, 2024(383), 96--129.

[71]郑甲山, Xiuran Liu*, Pengmei Zhang,Some new results for the boundedness of solutions for a parabolic-elliptic predator-prey chemotaxis system,Discrete and Continuous Dynamical Systems Series-B, 2023(29),2710--2726.

[70]郑甲山,Yuanyuan Ke*, Boundedness and large time behavior of solutions of a higher-dimensional haptotactic system modeling oncolytic virotherapy,Mathematical Models and Methods in Applied Sciences,2023(33), 1875--1907.

[69] Jianing Xie, 郑甲山*,Anewresult forglobalexistence andboundedness in athree-dimensionalself-consistentchemotaxis-fluidsystem withnonlineardiffusion,Acta Applicandae Mathematicae,2023(183), 5.

[68] Haotian Tang, 郑甲山, Kaiqiang Li*,Global bounded classical solution for an attraction-repulsion chemotaxis system,Applied Mathematics Letters, 2023(138), 108532.

[67] 郑甲山, Pengmei Zhang*, Xiuran Liu, Global existence and boundedness for an N-dimensional parabolic-elliptic chemotaxis- fluid system with indirect pursuit-evasion,Journal of Differential Equations, 2023(367), 199--228.

[66] Haotian Tang, 郑甲山, Kaiqiang Li*,Global and bounded solution to a quasilinear parabolic-elliptic pursuit-evasion system in N-dimensional domains,Journal of Mathematical Analysis and Applications, 2023(527), 127406.

[65] 郑甲山, Xiuran Liu*, Pengmei Zhang,Existence and boundedness of solutions for a parabolic-elliptic predator-preychemotaxis system,Discrete and Continuous Dynamical Systems Series-B, 2023(28),5437--5446.

[64]郑甲山, Pengmei Zhang*, Blow-up prevention by logistic source an N-dimensional parabolic-elliptic predator-prey system with indirect pursuit-evasion interaction, Journal of Mathematical Analysis and Applications,2023(519), 126741.

[63] 郑甲山, Yuanyuan Ke*,Blow-up prevention by logistic source in an N-D chemotaxis-convection model of capillary-sprout growth during tumor angiogenesis, Communications on Pure and Applied Analysis, 2022.

[62] Kaiqiang Li,郑甲山*,An optimal result for global classical and bounded solutions in a two-dimensional Keller-Segel-Navier- Stokes system with saturated sensitivity, Communications on Pure and Applied Analysis, 2022(21),4147--4172.

[61] 郑甲山,Jianing Xie*, Global classical solutions to a higher-dimensional doubly haptotactic cross-diffusion system modeling oncolytic virotherapy, Journal of Differential Equations, 2022(340), 111--150.

[60] Xu Liu ,郑甲山*,Convergence rates of solutions in a predator-prey system with indirect pursuit-evasion interaction in domains of arbitrary dimension, Discrete and Continuous Dynamical Systems Series-B, 2022(28),2269--2293.

[59] 郑甲山, Yuanyuan Ke*, 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, Communications in Nonlinear Science and Numerical Simulation, 2022(115), 106732.

[58]郑甲山,Dayong Qi*,Global existence and boundedness in an N-dimensional chemotaxis-Navier-Stokes system with nonlinear diffusion and rotation, Journal of Differential Equations, 2022(335), 347--397.

[57] Yuanyuan Ke, 郑甲山*,Large time behavior of solutions to a 3D Keller-Segel-Stokes system involving a tensor-valued sensitivity with saturation, Acta Mathematicae Applicatae Sinica, English Series, 2023(38),1032--1064.

[56] Pengmei Zhang, 郑甲山*,Boundedness and stabilization of a three-dimensional parabolic-elliptic Keller-Segel-Stokes system,Discrete and Continuous Dynamical Systems,2022(42), 4095--4125.

[55]郑甲山,Jianing Xie*, Global classical solutions of Keller-Segel-(Navier)-Stokes system with nonlinear motility functions,Journal of Mathematical Analysis and Applications, 2022(514), 126272.

[54]郑甲山,Dayong Qi, Yuanyuan Ke*,Globalexistence,regularity andboundedness in ahigher-dimensionalchemotaxis-Navier- Stokes system withnonlineardiffusion andgeneralsensitivity,Calculus of Variations and Partial Differential Equations, 2022(61), 1--46.

[53]郑甲山, Yuanyuan Ke*, Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system modeling coral fertilization, Journal of Differential Equations,2022(328), 228--260.

[52]郑甲山*, Eventual smoothness and stabilization in a three-dimensional Keller-Segel-Navier-Stokes system with rotational flux,Calculus of Variations and Partial Differential Equations, 2022(61), 1--34. (该论文为ESI高被引论文)

[51] Dayong Qi,郑甲山,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.

[50] Jianing Xie,郑甲山*,A new result on existence of global bounded classical solution to a attraction-repulsion chemotaxis system

with logistic source,Journal of Differential Equations, 2021(298), 159--181.

[49]郑甲山*, Yuanyuan Ke,Global bounded weak solutions for a chemotaxis-Stokes system with nonlinear diffusion and rotation,Journal of Differential Equations, 2021(289), 182--235.

[48] Zhi-An Wang,郑甲山*,Global boundedness of the fully parabolic Keller-Segel system with signal-dependent motilities,Acta Applicandae Mathematicae, 2021(171), 25.

[47]郑甲山*,Global classical solutions and stabilization in a two-dimensional parabolic-eelliptic Keller-Segel-Stokes system,Journal of Mathematical Fluid Mechanics, 2021(23), 1--25.

[46]郑甲山*,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.

[45]Ling Liu,郑甲山*, 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, 2020(491), 124231.

[44]郑甲山*, 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, 2021(272), 164--202. (该论文为ESI高被引论文)

[43]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,2020(4), 1208--1221.

[42] 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,2020(268), 7092--7120.

[41] 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,2020(25), 3437--3460.

[40] Tian Xiang,郑甲山*,A new result for boundedness of solutions to a chemotaxis-haptotaxis model with/without sub-logistic source,Nonlinearity, 2019(32), 4890.

[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), 109. (该论文为ESI高被引论文)

[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, 2019(266), 1969--2018.

[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,2019(267), 2385--2415. (该论文为ESI高被引论文)

[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, 2019(475),895--917.

[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, 2019(24), 3357--3377.

[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, 2018(31), 4602--4620.

[33]郑甲山*, Yanyan Li,et al., 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, 2018(462), 1--25.

[32] 郑甲山* ,Global weak solutions in a three-dimensional Keller-Segel-Navier-Stokes system with nonlinear diffusion,Journal of Differential Equations, 2017(263), 2606--2629.

[31] 郑甲山*,Boundedness of solution of a higher-dimensional parabolic-ODE-parabolic chemotaxis-haptotaxis model with generalized logistic source,Nonlinearity, 2017(30), 1987--2009.

[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,2017(37), 627--643.

[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, 2017(22), 669--686.

[28] 郑甲山*,A note on boundedness of solutions to a higher-dimensional quasi-linear chemotaxis system with logistic source, Zeitschriftfür Angewandte Mathematik und Mechanik, 2017(97) , 414--421.

[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, 2017(450), 1047--1061.

[26] 郑甲山*, Boundedness in a two-species quasi-linear chemotaxis system with two chemicals, Topological methods in nonlinear analysis, 2017(49), 463--480.

[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, 2016(72), 2604--2619.

[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, 2016(21), 600--613.

[23]郑甲山*,Boundedness in a three-dimensional chemotaxis-fluid system involving the tensor-valued sensitivity with saturation,Journal of Mathematical Analysis and Applications, 2016(442), 353--375.

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

[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, 2016(26),1667--1685.

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

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

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

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

[16] Yifu Wang,郑甲山*,Periodic solutions to the Cahn-Hilliard equation with constraint,Mathematical Methods in the Applied Sciences,2016(39),649--660.

[15] Ji Liu,郑甲山, Yifu Wang*,Boundedness in a quasilinear chemotaxis-haptotaxis system with logistic source,Zeitschrift für angewandte Mathematik und Physik, 67(2016), 21.

[14] 郑甲山, Boundedness of solutions to a quasilinear parabolic-elliptic Keller-Segel system with logistic source,Journal of Differential Equations, 2015(259), 120--140.(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, href="http://www.baidu.com/link?url=FJlW-zeMvSQ0EYabHqFSC8_35R3ZJbJ9KuwYJX4lkoTUsv2Xj2zhspqj7laLy-unjTQAYs5WHzsRVhJAZHydbjhdK6pQxtimHe2e_t3sN3_" Zeitschrift für angewandte Mathematik und Physik, 2015(66), 771--783.

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

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

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

[9] 郑甲山*,Optimal controls of multi-dimensional modified Swift-Hohenberg equation, International Journal of Control, 2015 (88),2117--2125.

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

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

[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.

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

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

[3] 郑甲山*, Yifu Wang,Timeoptimalcontrols of the Fitzhugh-Nagumoequation withinternalcontrol, Journal of Dynamical and Control Systems, 2013(19), 483--501.

[2] Zhonghai Xu,郑甲山*,Zhenguo Feng,Existence andregularity ofnonnegativesolution ofa singularquasi-linearanisotropicellipticboundaryvalueproblem with gradient terms, Nonlinear Analysis: Theory, Methods & Applications, 2011(74), 739--756.

[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, 2011(74), 1--8.

情况

已经指导了多名博士生、硕士生和本科生,毕业生均发表多篇SCI论文,并已获得多项奖励和称号,其中:

博士生:

1. 2025级博士研究生以第一作者或通讯作者(导师一作)的身份发表SCI论文2篇.

硕士生:

1. 2021级硕士研究生张朋梅以第一作者或通讯作者(导师一作)的身份发表SCI论文4篇,获得2023年硕士研究生国家奖学金, 2022年研究生学业奖学金一等奖, 2022年烟台大学优秀研究生,烟台大学2023年研究生科研创新基金项目(重点项目),山东省优秀毕业生,山东省优秀硕士学位论文,入职市直高中;

2. 2022级硕士研究生刘秀冉以第一作者或通讯作者(导师一作)的身份发表SCI论文4篇,获得2024年硕士研究生国家奖学金, 2023年研究生学业奖学金一等奖, 2023年烟台大学优秀研究生,烟台大学2024年研究生科研创新基金项目(重点项目),烟台大学优秀毕业生,山东省研究生创新成果奖,入职省级高等专科学校;

3. 2024级硕士研究生王钰莹以第一作者或通讯作者(导师一作)的身份发表SCI论文10篇,获得2025年硕士生学业奖学金一等奖, 2025年烟台大学优秀研究生,烟台大学2025年研究生科研创新基金项目(一般项目),山东省数学建模竞赛三等奖;

4. 2024级硕士研究生申存赛以第一作者或通讯作者(导师一作)的身份发表SCI论文6篇,获得2025年硕士生学业奖学金一等奖, 2025年烟台大学优秀研究生,烟台大学2026年研究生科研创新基金项目(一般项目),山东省数学建模竞赛二等奖和三等奖各一项,“华为杯”中国研究生数学建模竞赛三等奖,市场调研大赛三等奖;

5. 2025级硕士研究生杨宇曦获得烟台大学优秀共产党员,山东省数学建模竞赛三等奖.

本科生:

1. 2020级本科生唐昊天以第一作者的身份发表SCI论文2篇,获得山东省优秀毕业生,并在2026年已推荐至中国人民大学攻读博士学位;

2. 2025级创新实验班本科生获得省级创新训练项目,作为负责人参与中国国际大学生创新大赛.

课题组具有博士招生资格,每年招收1-2名博士研究生.欢迎有志向攻读名校硕士和博士学位,具有强烈的求知欲和驱动力且吃苦耐劳、能坐得住、本科、硕士和博士阶段有良好数学和计算机基础的同学加盟我们课题组.同时,本课题组与中国人民大学、北京理工大学等多所国内外高校的专家有着紧密的合作关系,将会根据学生的能力、兴趣推荐到国内外各大高校攻读硕士、博士学位.

课题组负责人视频简介参见:https://haokan.baidu.com/v?pd=wisenatural&vid=10993947368543267104

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