基本信息

江杰,研究员,博士生导师,中国科学院精密测量科学与技术创新研究院,数学与应用研究部
电子邮件: jiang@apm.ac.cn
通信地址: 武汉市小洪山西30号
邮政编码: 430071

CV

研究领域

非线性发展方程,如趋化方程,相场方程等

招生信息

   
招生专业
070104-应用数学
070101-基础数学
招生方向
非线性发展方程

教育背景

2004-09--2009-06   复旦大学数学科学学院   博士
2000-09--2004-06   山东大学数学与系统科学学院   学士
学历

  • 2004-2009,复旦大学数学科学学院
  • 2000-2004,山东大学数学与系统科学学院
  • 1997-2000,山东省实验中学
  • 1994-1997,济南实验初级中学
  • 1988-1994,济南师范学校附属小学

工作经历

  • 2022.12至今,中国科学院精密测量科学与技术创新研究院数学及应用研究部研究员

  • 2013-10 至2022.11,中国科学院精密测量科学与技术创新研究院(原中国科学院武汉物理与数学研究所),数学及应用研究部副研究员

              其间:2014-07 2015-08,美国宾夕法尼亚州立大学数学系访问学者(受柳春教授邀请,国家留学基金委公派访问学者项目资助)

  • 2011-12 2013-09, 中国科学院武汉物理与数学研究所数学物理与应用研究部助理研究员

  其间:2012-12 2013-01, 日本东京大学数学系访问学者(受Yoshikazu Giga教授邀请,东京大学FMSP Lectures 项目资助)

  • 2009-09 2011-11, 北京应用物理与计算数学研究所,博士后


专利与奖励

   
奖励信息
(1) 湖北省工业与应用数学学会第一届优秀青年学者奖, 其他, 2023
(2) 2021年度精密测量院突出科技成果, 研究所(学校), 2021
(3) 上海市优秀博士学位论文, 省级, 2011

出版信息

     

发表论文

  1. J. Jiang and P. Laurençot. Global bounded classical solutions to a parabolic-elliptic chemotaxis model with local sensing and asymptotically unbounded motility.  Bulletin of the London Mathematical Society, 2024, 56, 681-700.  https://doi.org/10.1112/blms.12958

  2. Y. Xiao and J. Jiang. Global existence and uniform boundedness in a fully parabolic Keller-Segel system with non-monotonic signal-dependent motility. Journal of Differential Equations, 2023, 354, 403-429. https://doi.org/10.1016/j.jde.2023.02.028

  3. J. Jiang*. On a repulsion Keller-Segel system with a logarithmic sensitivity. European Journal of Applied Mathematics, 2022, 33: 153-181. https://doi.org/10.1017/S0956792520000443

  4. J. Jiang*. Boundedness and Exponential Stabilization in a Parabolic-Elliptic Keller-Segel Model with Signal-dependent Motilities for Local Sensing Chemotaxis. Acta Mathematica Scientia, 2022, 42B(3): 825-846. https://doi.org/10.1007/s10473-022-0301-y

  5. J. Jiang, P. Laurençot*, and Y. Zhang. Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption. Communications in Partial Differential Equations, 2022, 47(5): 1024-1069. https://doi.org/10.1080/03605302.2021.2021422

  6.  K. Fujie* and J. Jiang. A note on construction of nonnegative initial data inducing unbounded solutions to some two-dimensional Keller–Segel systems. Mathematics in Engineering, 2021, 4(6): 1-12. 10.3934/mine.2022045

  7.  K. Fujie and J. Jiang*. Boundedness of classical solutions to a degenerate Keller-Segel type model with signal-dependent motilities. Acta Applicandae Mathematicae, 2021, 176: 3. https://doi.org/10.1007/s10440-021-00450-1 (ESI Highly Cited Paper)

  8. K. Fujie and J. Jiang*. Comparison methods for a Keller-Segel-type model of pattern formations with density-suppressed motilities. Calculus of Variations and Partial Differential Equations, 2021, 60: 92. https://doi.org/10.1007/s00526-021-01943-5  (ESI Highly Cited Paper & Hot Paper)
  9. J. Jiang* and P. Laurençot. Global existence and uniform boundedness in a chemotaxis model with signal-dependent motility. Journal of Differential Equations, 2021, 299: 513-541. https://doi.org/10.1016/j.jde.2021.07.029
  10. H. Li and J. Jiang*. Global existence of weak solutions to a signal-dependent Keller-Segel model for local sensing chemotaxis. Nonlinear Analysis: Real World Applications, 2021, 61: 103338. https://doi.org/10.1016/j.nonrwa.2021.103338
  11. K. Fujie and J. Jiang*. Global existence for a kinetic model of pattern formation with density-suppressed motilities. Journal of Differential Equations, 2020, 269(6): 5338-5378. https://doi.org/10.1016/j.jde.2020.04.001 (ESI Highly Cited Paper)

  12. J. Jiang*. Global stability of Keller-Segel systems in critical Lebesgue spaces. Discrete & Continuous Dynamical Systems - A, 2020, 40(1): 609-634. 10.3934/dcds.2020025

  13. J. Jiang*. Global stability of homogeneous steady states in scaling-invariant spaces for a Keller-Segel-Navier-Stokes system. Journal of Differential Equations, 2019, 267(2): 659-692. https://doi.org/10.1016/j.jde.2019.01.022

  14. J. Jiang*. Eventual smoothness and exponential stabilization of global weak solutions to some chemotaxis systems. SIAM Journal on Mathematical Analysis, 2019, 51(6): 4604-4644. https://doi.org/10.1137/19M1245025

  15. J. Jiang*. Convergence to equilibria of global solutions to a degenerate quasilinear Keller-Segel system. Zeitschrift für Angewandte Mathematik und Physik, 2018, 69(5). https://doi.org/10.1007/s00033-018-1025-7

  16. J. Jiang*, H. Wu, and S. Zheng. Blow-up for a three dimensional Keller-Segel model with consumption of chemoattractant. Journal of Differential Equations, 2018, 264(8): 5432-5464. https://doi.org/10.1016/j.jde.2018.01.004

  17. J. Jiang*, Y. Li, and C. Liu. Two-phase incompressible flows with variable density: An energetic variational approach. Discrete & Continuous Dynamical Systems - A, 2017, 37(6): 3243-3284. http://dx.doi.org/10.3934/dcds.2017138

  18. J. Jiang*, H. Wu, and S. Zheng. Well-posedness and long-time behavior of a non-autonomous Cahn–Hilliard–Darcy system with mass source modeling tumor growth. Journal of Differential Equations, 2015, 259(7): 3032-3077. https://doi.org/10.1016/j.jde.2015.04.009

  19. J. Jiang*, H. Wu, and S. Zheng. Global existence and asymptotic behavior of solutions to a chemotaxis–fluid system on general bounded domains. Asymptotic Analysis, 2015, 92(3-4): 249-258. DOI: 10.3233/ASY-141276

  20. J. Jiang* and S. Zheng. Global well-posedness and exponential stability of solutions for the viscous radiative and reactive gas. Zeitschrift für angewandte Mathematik und Physik, 2014, 65(4): 645-686. https://doi.org/10.1007/s00033-013-0350-0

  21. H. Wu* and J. Jiang. Global solution to the drift-diffusion-Poisson system for semiconductors with nonlinear recombination-generation rate. Asymptotic Analysis, 2013, 85(1-2): 75-105. DOI: 10.3233/ASY-131176

  22. J. Jiang*. Long-time behaviour of solutions to a one-dimensional strongly nonlinear model for phase transitions with micro-movements. Proceedings of the Royal Society of Edinburgh: Section A Mathematics, 2012, 142(6): 1279-1307. https://doi.org/10.1017/S0308210511000229

  23. J. Jiang* and B. Guo. Asymptotic behavior of solutions to a one-dimensional full model for phase transitions with microscopic movements. Discrete & Continuous Dynamical Systems - A, 2012, 32(1): 167-190. 10.3934/dcds.2012.32.167

  24. J. Jiang* and Y. Zhang. Counting the set of equilibria for a one-dimensional full model for phase transitions with microscopic movements. Quarterly of Applied Mathematics, 2012, 70: 665-683. https://www.ams.org/journals/qam/2012-70-04/S0033-569X-2012-01257-3/S0033-569X-2012-01257-3.pdf

  25. J. Jiang* and S. Zheng. Global solvability and asymptotic behavior of a free boundary problem for the one-dimensional viscous radiative and reactive gas. Journal of Mathematical Physics, 2012, 53: 123704. https://doi.org/10.1063/1.4770049

  26. J. Jiang, H. Wu*, and B. Guo. Finite dimensional global and exponential attractors for a class of coupled time-dependent Ginzburg-Landau equations. Science China Mathematics, 2011, 55(1): 141-157. https://doi.org/10.1007/s11425-011-4229-2

  27. J. Jiang*. Convergence to equilibrium for a fully hyperbolic phase-field model with Cattaneo heat flux law. Mathematical Methods in the Applied Sciences, 2009, 32(9): 1156-1182. https://doi.org/10.1002/mma.1092

  28. J. Jiang* and Y. Zhang. On convergence to equilibria for a chemotaxis model with volume-filling effect. Asymptotic Analysis, 2009, 65(1-2): 79-102. DOI: 10.3233/ASY-2009-0948

  29. J. Jiang*. Convergence to equilibrium for a parabolic–hyperbolic phase field model with Cattaneo heat flux law. Journal of Mathematical Analysis and Applications, 2008, 341(1): 149-169. https://doi.org/10.1016/j.jmaa.2007.09.041

 


Preprints

  • Y. Xiao and J. Jiang. Prevention of Infinite-time Blowup by Slightly Super-linear Degradation in a  Keller--Segel System with Density-suppressed Motility. arXiv

  • Aijing Lu and J. Jiang. Suppression of Blowup by Slightly Superlinear Degradation in a Parabolic-Elliptic Keller--Segel System with Signal-dependent Motility. arXiv

科研活动


科研项目

  • 系数依赖信号的Keller-Segel趋化方程的数学研究,负责人,国家自然科学基金面上项目,2023-01--2026-12,在研
  • 传染病时空传播动力学建模与分析, 负责人, 中科院精密测量院多学科交叉培育项目, 2021-12--2024-11,在研
  • 具有动力边界条件的Cahn-Hilliard方程及其与流体耦合系统的数学分析, 参与, 国家自然科学基金面上项目, 2021-01--2024-12,在研
  • 一类退化型生物趋化方程的数学研究, 负责人, 湖北省自然科学基金面上项目, 2020-03--2022-03,已结题
  • 复杂流体中几类非线性发展方程组的适定性与渐近性态, 参与, 国家自然科学基金面上项目, 2014-01--2017-12,已结题
  • Frémond相变热力学模型发展方程组整体解及其渐近性态, 负责人, 国家自然科学基金青年基金项目, 2013-01--2015-12,已结题

会议组织

The online seminar "Online Seminar on Chemotaxis" is organized by Kentaro Fujie (Tohoku University, Japan) and me. This seminar will be held on Zoom video system. We are planning to hold this event every month.

Upcoming conferences and seminars

  • Online Seminar on Chemotaxis

    Date: 19th of April 2024 17:00 -- 18:00 in “Seoul--Tokyo" hour
    (which is 10:00 -- 11:00 in “Central EU (summer time)" hour and 16:00 -- 17:00 in “Beijing" hour)
    Speaker: Tatsuya Hosono (Tohoku University)
    Title: Global existence and boundedness of solutions to the 4D fully parabolic chemotaxis system with indirect signal production                                                                                                                      program

Past conferences and seminars


2023

  • Online Seminar on Chemotaxis


    Date: 24th of November 2023 16:00 -- 17:00 in “Beijing" hour


    (which is 9:00 -- 10:00 in “Central EU" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)


    Speaker: Min Tang (Shanghai Jiaotong University)


    Title: Macroscopic Models derived from kinetic models with internal state

    program

  • Online Seminar on Chemotaxis


    Date: 14th of November 2023 16:00 -- 17:00 in “Beijing" hour


    (which is 9:00 -- 10:00 in “Central EU" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)


    Speaker: Jose A. Carrillo (University of Oxford)


    Title: Nonlocal Aggregation-Diffusion Equations: fast diffusion and partial concentration


    program


  • Date: 11th of July 2023 10:00 -- 11:00 in “Central EU" hour

    (which is 16:00 -- 17:00 in “Beijing" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)

    Speaker: Grzegorz Karch (University of Wroclaw)

    Title: Concentration phenomena in models of chemotaxis

    program


  • Date: 7th of June 2023 16:00 -- 17:00 in “Singapore--Beijing" hour

    (which is 10:00 -- 11:00 in “Central EU" hour and 17:00 -- 18:00 in ``Seoul--Tokyo" hour)

    Speaker: Yao Yao (National University of Singapore)

    Title: Suppression of chemotactic blow-up by buoyancy

    program

  • Online Seminar on Chemotaxis

    Date: 12th of May 2023 10:00 -- 11:00 in “Central EU" hour

    (which is 16:00 -- 17:00 in “Beijing" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)

    Speaker: Christian Stinner (Technische Universität Darmstadt)

    program

  • Online Seminar on Chemotaxis

    Date: 17th of April 2023 10:00 -- 11:00 in “Central EU" hour

    (which is 16:00 -- 17:00 in “Beijing" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)

    Speaker: Yoan Tardy (Sorbonne Université)

    Title: Collisions of the supercritical Keller-Segel particle system

    program


  • Online Seminar on Chemotaxis

    Date: 28th of March 2023 16:00 -- 17:00 in “Beijing" hour

    (which is 10:00 -- 11:00 in “Central EU" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)

    Speaker: Zhaoyin Xiang (University of Electronic Science and Technology of China)

    Title: Critical mass in a 2D chemotaxis system with indirect signal production mechanism

    program


  • Online Seminar on Chemotaxis

    Date: 10th of February 2023 17:00 -- 18:00 in “Seoul--Tokyo" hour

    (which is 9:00 -- 10:00 in “Central EU" hour and 16:00 -- 17:00 in “Beijing" hour and )

    Speaker: Masaaki Mizukami (Kyoto University of Education)

    Title: Possible points of blow-up in a parabolic--elliptic chemotaxis system with spatially heterogeneous logistic term

    program

2022

  • Online Seminar on Chemotaxis

Date: 14th of December 2022 9:00 -- 10:00 in “Central EU" hour

(which is 16:00 -- 17:00 in “Beijing" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)

Speaker: Johannes Lankeit (Leibniz Universit ̈at Hannover)

Title: Chemotaxis and boundaries

program

  • Online Seminar on Chemotaxis

Date: 16th of November 2022 9:00 -- 10:00 in “Central EU" hour

(which is 16:00 -- 17:00 in “Beijing" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)

Speaker: Piotr Biler (Uniwersytet Wroclawski)

Title: Large global solutions of the parabolic-parabolic Keller-Segel system in $\mathbb R^d$ and blowup for related toy models

program


  • Online Seminar on Chemotaxis

Date: 20th of October 2022 10:00 -- 11:00 in “Central EU" hour

(which is 16:00 -- 17:00 in “Beijing" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)

Speaker: Philippe Laurençot (CNRS & Université Savoie Mont Blanc)

Title: Threshold behaviour in chemotaxis models with indirect signal production in space dimension 2

program

  • Online Seminar on Chemotaxis

Date: 22nd of September 2022 10:00 -- 11:00 in “Central EU" hour

(which is 16:00 -- 17:00 in “Beijing" hour and 17:00 -- 18:00 in “Seoul--Tokyo" hour)

Speaker: Li Chen (Universität Mannheim)

Title: Rigorous Derivation of the Degenerate Parabolic-Elliptic Keller-Segel System from a Moderately Interacting Stochastic Particle System

program

  • Online Seminar on Chemotaxis

Date: 25th of July 2022 17:00 – 18:00 in “Seoul–Tokyo” hour

(which is 10:00 – 11:00 in “Central EU” hour and 16:00 – 17:00 in “Beijing” hour)

Speaker: Tetsuya Yamada (National Institute of Technology, Fukui College)

Title: Global existence and boundedness of solutions to a two dimensional attraction--repulsion Keller--Segel model in the repulsive dominant case

program

  • Online Seminar on Chemotaxis

Date: 28th of June 2022 10:00 – 11:00 in “Central EU” hour

(which is 16:00 – 17:00 in “Beijing” hour and 17:00 – 18:00 in “Seoul–Tokyo” hour)

Speaker: Michael Winkler (Universit ̈at Paderborn)

Title: Critical mass phenomena in the analysis of chemotactic aggregation

program

  • Online Seminar on Chemotaxis

Date: 13th of May 2022 10:00 – 11:00 in “Central EU” hour

(which is 16:00 – 17:00 in “Beijing” hour and 17:00 – 18:00 in “Seoul–Tokyo” hour)

Speaker: Tomasz Cie ́slak (Institute of Mathematics, Polish Academy of Sciences)

Title: Chemorepulsion in higher dimensions. Second time derivative of the Liapunov functional.

program

  • Online Seminar on Chemotaxis

Date: 26th of April 2022 16:00 – 17:00 in “Beijing” hour

(which is 10:00 – 11:00 in “Central EU” hour and 17:00 – 18:00 in “Seoul–Tokyo” hour)

Speaker: Youshan Tao (Shanghai Jiao Tong University)

Title: Critical mass and threshold parameter in a haptotaxis system modeling oncolytic virotherapy

program

  • Online Seminar on Chemotaxis

Date: 22nd of March 2022 10:00 – 11:00 in “Central EU” hour

(which is 17:00 – 18:00 in “Beijing” hour and 18:00 – 19:00 in “Seoul–Tokyo” hour)

Speaker: Dariusz Wrzosek (University of Warsaw)

Title: Direct/indirect taxis and pattern formation in predator-prey models

program

  • Online Seminar on Chemotaxis

Date: 17th of February 2022 18:00 – 19:00 in “Seoul–Tokyo” hour

(which is 17:00 – 18:00 in “Beijing” hour and 10:00 – 11:00 in “Central EU” hour)

Speaker: Changwook Yoon (Chungnam National University)

Title: Chemotaxis system with Fokker-Planck type diffusion and the singular limit problem

program

  • Online Seminar on Chemotaxis

Date: 14th of January 2022 10:00 – 11:00 in “Madrid” hour

(which is 17:00 – 18:00 in “Beijing” hour and 18:00 – 19:00 in “Seoul–Tokyo” hour)

Speaker: J.Ignacio Tello (National University of Distance Education)

Title: On a chemotaxis system with gradient dependent chemotactic coeffcient

program


2021

  • One-day Online Workshop on Chemotaxis (Organizer: Jie Jiang and Kentaro Fujie)

Date: 2021 31st of July

Speaker: Jaewook AHN(Dongguk University), Yong Jung KIM(KAIST), Jing LI(Minzu University of China), Yuxiang LI(Southeast University), Sachiko ISHIDA (Chiba University), Takeshi SUGURO (Tohoku University)

program





会议参与

  • 2024年夏季反应扩散方程学术会议(西安),西北工业大学,2024.05.11-05.12,"Prevention of Infinite-time Blowup by Slightly Super-linear Degradation in a Keller--Segel System with Density-suppressed Motility", 40min. 
  • The 7th International Workshop on Mathematical Analysis of Chemotaxis, Kyoto University of Education, 2024.03.04-2024.03.08, "Some Recent Progress in a Parabolic-Elliptic Keller--Segel System with Signal-dependent Motility", 60min. My presentation slidesPoster. ProgramConference Webpage.
  • 2023 东华大学天元吸引子高级研讨班,东华大学,2023.06.17-06.18,"On a parabolic-elliptic Keller-Segel system with signal-dependent motility", 45min
  • 东北偏微分方程小型研讨会,大连理工大学,2023.06.15-06.16,“The Effect of Signal-dependent Motility in a Keller--Segel System",35min
  • 华南师大2023 年春季偏微分方程系列报告会,华南师范大学,2023.04.15-04.16,"On a Parabolic-Elliptic Keller-Segel System with Signal-dependent Motility", 40min
  • 2022非线性偏微分方程理论及应用研讨会,厦门理工学院,2022.11.26,“The Effect of Signal-dependent Motility in a Keller--Segel System of Chemotaxis”,45min
  • 非线性偏微分方程系列报告,广州大学,2022.10.21, “The Effect of Signal-dependent Motility in a Keller-Segel System of Chemotaxis”, 30min
  • 2022怪波与波湍流理论学术研讨会,西宁,2022.08.12-2022.08.14,"On a Keller-Segel system of chemotaxis with signal-dependent motility", 45min
  • The 2nd International Workshop on Mathematical Analysis of Chemotaxis mini, online, Tokyo University of Science,2022.03.07-2022.03.09, "On a Keller-Segel System of Chemotaxis with Density-suppressed Motility", 30min
  • 2021人民大学偏微分方程系列报告会4,online,2021.11.20,"On a Keller-Segel model with density-suppressed motility", 40min
  • Online Workshop on Mathematical Biology, 2021.09.10, Online,University of Nottingham Ningbo China,"On a Keller-Segel System of Chemotaxis with Density-suppressed Motility", 50min
  • 数学物理方程学术研讨会,青岛,2021.06.18-2021.06.20, "The Effect of Density-suppressed Motility in Some Reaction-Diffusion Systems", 30min

  • 偏微分方程建模、理论与计算学术会议,厦门,2020.11.20-2020.11.23,"Comparison Methods for a Keller-Segel Model with Signal-dependent Motilities", 30min
  • 2020年偏微分方程与动力系统学术研讨会,佛山,2020.11.6-2020.11.8,"On a Keller-Segel Model with Signal-dependent Motilities for Local Sensing Chemotaxis", 35min
  • 湖北省工业与应用数学学会暨武汉工业与应用数学学会2020 年学术交流大会, 武汉,2020.09.18-2020.09.20, "On a Keller-Segel Model with Signal-dependent Motility for Local Sensing Chemotaxis", 25min


期刊服务

Editorial Board Member of AIMS Mathematics


指导学生

在读:

陆艾静,硕士研究生



已毕业:

李海霞,  硕士,论文(https://doi.org/10.1016/j.nonrwa.2021.103338),毕业去向:武汉市翠微中学


其他