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Zhang, Yanyan ( 张艳艳 ) 
Title: Associate Professor
Department: Applied Mathematics
Office: Room 321, Stat Building
Telephone: 54342646-721
Email: yyzhang@math.ecnu.edu.cn
Homepage: http://math.ecnu.edu.cn/~yyzhang
Homepage2: https://faculty.ecnu.edu.cn/_s42/zyy2/main.psp
Research Interest
Applied Partial Differential Equations
Resume
cv

教育背景:

(1) 2005-09 至 2010-06, 复旦大学, 应用数学, 博士

(2) 2001-09 至 2005-07, 河南大学, 数学与应用数学, 学士

工作经历:

(1) 2014-12 至 今, 华东师范大学, 数学科学学院, 副教授

(2) 2025-08 至 2025-08, 捷克科学院, 数学研究所, 无

(3) 2019-09 至 2019-10, 捷克科学院, 数学研究所, 无

(4) 2010-07 至 2014-11, 华东师范大学, 数学系, 讲师

研究方向:

偏微分方程;非线椭圆型、抛物型方程;无穷维动力系统。

偏微分方程在各学科的应用:例如生物中的趋化模型(Chemotaxis),物理中的微机电系统模型(MEMS:Micro-Electro-Mechanical System )等。

Selected Publications

学术成果

  1. Qing Li, Yanyan Zhang, Study on the behaviors of rupture solutions for a class of elliptic MEMS equations in R2, Journal of Differential Equations. 414 (2025) , 817-841.

  2. Jie Jiang, Philippe Laurençot, Yanyan Zhang, Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption, Communications in Partial Differential Equations, 47(5)(2022), 1024-1069.

  3. Qi Wang, Yanyan Zhang, Asymptotic and quenching behaviors of semilinear parabolic systems with singular nonlinearities, Communications on Pure and Applied Analysis, 21(3)(2022), 797-816.

  4. Yujin Guo, Yanyan Zhang and Feng Zhou, Singular behavior of an electrostatic-elastic membrane system with an external pressure, Nonlinear Anal. 190 (2020), 111611, 29 pp.

  5. Fang Li and Yanyan Zhang. On steady-state solutions of a 1-D chemotaxis model with volume-filling effect, J. Math. Anal. Appl., 408 (2013), 1-18.

  6. Yanyan Zhang and Songmu Zheng. A 1-d quasilinear nonuniform parabolic chemotaxis model with volume-filling effect, Asymptotic Analysis,83 (2013), 101-125.

  7. Jie Jiang and Yanyan Zhang. Counting the set of equilibria for a one-dimensional full model for phase transitions with microscopic movements, Quart. Appl. Math.,70(4)(2012), 665-683.

  8. Yanyan Zhang and Songmu Zheng. Asymptotic Behavior of Solutions to a Quasilinear Nonuniform Parabolic System Modelling Chemotaxis, J. Differential Equations,248(2010), 1684-1710.

  9. Yanyan Zhang. The steady states and convergence to equilibria for a 1-D chemotaxis model with volume-filling effect, Math. Meth. Appl. Sci., 33(2010), 25-40.

  10. Jie Jiang and Yanyan Zhang. On convergence to equilibria for a chemotaxis model with volume-filling effect, Asymptotic Analysis, 65(2009),79-102.

  11. Yanyan Zhang. Counting the stationary states and the convergence to equilibrium for the 1-D thin film equation, Nonlinear Analysis, 71(2009),  1425-1437.

科研项目

2023.01-2026.12,国家自然科学基金委员会, 面上项目, 系数依赖信号的Keller-Segel趋化方程的数学研究,批准号12271505,参与。

2015.01-2019.12,国家自然科学基金重点项目,反应扩散的数学理论及椭圆与抛物型偏微分方程组,批准号11431005,参与。

2014.01-2016.12,上海市“晨光计划”项目,微机电系统(MEMS)模型中非局部效应的理论研究,批准号13CG20,主持。

2013.01-2015.12,国家自然科学基金青年科学基金项目,几类Chemotaxis方程组解的性质,批准号11201149,主持。

2013.01-2015.12,教育部博士点基金项目,生物学中的几类偏微分方程组,批准号20120076120002,主持。

2012.01-2012.12,国家自然科学基金数学天元青年基金项目,一类非线性抛物型Chemotaxis方程组整体解的渐近性态,批准号11126235,主持。

开授课程

研究生课程:

《Partial Differential Equations》《Parabolic Partial Differential Equations》

本科生专业课:

《数学分析》《常微分方程》《偏微分方程》

本科生公共数学:

《高等数学》《线性代数》


 

Recent Publications(From MathSciNet)
MR4799305 Reviewed Li, Qing; Zhang, Yanyan Study on the behaviors of rupture solutions for a class of elliptic MEMS equations in $\Bbb R^2$. J. Differential Equations 414 (2025), 817–841. 35B40 (35J75 74F15 74K35)
Publication Year 2025 Indexed 2024-11-21 Review Published2024-12-04
MR4420944 Reviewed Jiang, Jie; Laurençot, Philippe; Zhang, Yanyan Global existence, uniform boundedness, and stabilization in a chemotaxis system with density-suppressed motility and nutrient consumption. Comm. Partial Differential Equations 47 (2022), no. 5, 1024–1069. 35B60 (35B40 35K51 35K65 35Q92)
Publication Year 2022 Indexed 2022-06-29 Review Published2022-07-13
MR4389601 Reviewed Wang, Qi; Zhang, Yanyan Asymptotic and quenching behaviors of semilinear parabolic systems with singular nonlinearities. Commun. Pure Appl. Anal. 21 (2022), no. 3, 797–816. 35B40 (35A01 35B44 35K51 35K58)
Publication Year 2022 Indexed 2022-04-12 Review Published2022-04-15
MR3998250 Reviewed Guo, Yujin; Zhang, Yanyan; Zhou, Feng Singular behavior of an electrostatic-elastic membrane system with an external pressure. Nonlinear Anal. 190 (2020), 111611, 29 pp. 35J75 (35A01 35C20 35J25 74F15 74K15)
Publication Year 2020 Indexed 2019-10-19 Review Published2019-10-29
MR3100117 Reviewed Zhang, Yanyan; Zheng, Songmu A 1-d quasilinear nonuniform parabolic chemotaxis model with volume-filling effect. Asymptot. Anal. 83 (2013), no. 1-2, 101–125. (Reviewer: Piotr Biler) 35K51 (35A01 35A02 35A09 35Q92)
Publication Year 2013 Indexed 2013-11-07 Review Published2014-03-03
MR3079941 Reviewed Li, Fang; Zhang, Yanyan On steady-state solutions of a 1-D chemotaxis model with volume-filling effect. J. Math. Anal. Appl. 408 (2013), no. 1, 1–18. 35J57 (35A01 35K51)
Publication Year 2013 Indexed 2013-10-24 Review Published2013-12-20
MR3052084 Reviewed Jiang, Jie; Zhang, Yanyan Counting the set of equilibria for a one-dimensional full model for phase transitions with microscopic movements. Quart. Appl. Math. 70 (2012), no. 4, 665–683. (Reviewer: Domingo A. Tarzia) 34B10 (35K51 74A15 80A22 82C26)
Publication Year 2012 Indexed 2013-06-13 Review Published2014-06-10
MR2593604 Reviewed Zhang, Yanyan; Zheng, Songmu Asymptotic behavior of solutions to a quasilinear nonuniform parabolic system modelling chemotaxis. J. Differential Equations 248 (2010), no. 7, 1684–1710. 35K51 (35B40 35Q92 92C17 92D25)
Publication Year 2010 Indexed 2010-05-20 Review Published2011-02-16
MR2591221 Indexed Zhang, Yanyan The steady states and convergence to equilibria for a 1-D chemotaxis model with volume-filling effect. Math. Methods Appl. Sci. 33 (2010), no. 1, 25–40. 35K51 (35B40 35R01 92C17)
Publication Year 2010 Indexed 2010-04-12
MR2571712 Reviewed Jiang, Jie; Zhang, Yanyan On convergence to equilibria for a chemotaxis model with volume-filling effect. Asymptot. Anal. 65 (2009), no. 1-2, 79–102. (Reviewer: Narcisa C. Apreutesei) 35K51 (35Q92 92C17)
Publication Year 2009 Indexed 2010-02-11 Review Published2010-06-16
MR2524358 Reviewed Zhang, Yanyan Counting the stationary states and the convergence to equilibrium for the 1-D thin film equation. Nonlinear Anal. 71 (2009), no. 5-6, 1425–1437. 35K55 (76A20)
Publication Year 2009 Indexed 2009-09-24 Review Published2010-05-21

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