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Zhang, Yanyan's papers, books, etc.

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》


 

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