应用数学系
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谢莉

职称:教授

系部:应用数学系

办公室:汇贤楼530

办公电话: 13308378649

邮箱:xieli-520@163.com


研究方向

偏微分方程,生物数学

主讲课程

数学分析、复变函数、生物动力系统

代表论著

1. Bin Li, Li Xie, A chemotaxis system with singular sensitivity for burglaries in the higher-dimensional settings:generalized solvability and long-time behavior, Calc. Var. Partial Differential Equations 63 (2024), no. 2, Paper No. 49, 27 pp.

2. Bin Li, Li Xie, Can Dirac-type singularities in Keller-Segel systems be ruled out by power-type singular sensitivities? J. Differential Equations 379 (2024), 413-467.

3. Bin Li, Li Xie, Generalized solution and eventual smoothness in a logarithmic Keller-Segel system for criminal activities, Math. Models Methods Appl. Sci. 33 (2023), no. 6, 1281-1330.

4. Li Xie, Yan Xu, Global existence and stabilization in a two-dimensional chemotaxis-Navier-Stokes system with consumption and production of chemosignals, J. Differential Equations 354 (2023), 325-372.

5. Bin Li, Li Xie, Generalized solution to a 2D parabolic-parabolic chemotaxis system for urban crime: Global existence and large time behavior, European J. Appl. Math. (2023),https://doi.org/10.1017/S0956792523000268.

6. Li Xie, Shigui Ruan, On a macrophage and tumor cell chemotaxis system with both paracrine and autocrine loops, Commun. Pure Appl. Anal. 21 (2022), no. 4, 1447–1479.

1. 7. Bin Li, Li Xie, Global dynamics and zero-diffusion limit of a parabolic-elliptic-parabolic system for ion transport networks, Nonlinear Anal. Real World Appl. 60 (2021), Paper No. 103304, 27 pp.

8. Bin Li, Li Xie, A cross-diffusive evolution system arising from biological transport networks, Commun. Nonlinear Sci. Numer. Simul. 92 (2021), Paper No. 105465, 26 pp.

9. Li Xie, Global existence and boundedness of a chemotaxis model with indirect production and general kinetic function, Z. Angew. Math. Phys. 71 (2020), no. 4, Paper No. 117, 22 pp.

10. Li Xie, Global classical solutions in a Keller-Segel(-Navier)-Stokes system modeling coral fertilization, J. Differential Equations 267 (2019), no. 11, 6290-6315.

11. Li Xie, On a fully parabolic chemotaxis system with nonlinear signal secretion, Nonlinear Anal. Real World Appl. 49 (2019), 24–44.

12. Renjun Duan, Li Xie, Zhaoyin Xiang, Global existence and large time behavior for a two-dimensional chemotaxis-Navier-Stokes system, J. Differential Equations 263 (2017), no. 10, 6284–6316.

13. Li Xie, Yilong Wang, Boundedness in a two-species chemotaxis parabolic system with two chemicals, Discrete Contin. Dyn. Syst. Ser. B 22 (2017), no. 7, 2717–2729.

14. Li Xie, Youjun Xiao,  Global existence and boundedness in a 2D Keller-Segel-Stokes system Nonlinear Anal. Real World Appl. 37 (2017), 14–30.

15. Li Xie, Zhaoyin Xiang, On an attraction-repulsion chemotaxis system with a logistic source, IMA J. Appl. Math. 81 (2016), no. 1, 165-198.

16. Li Xie, Yulan Wang, Zhaoyin Xiang, Global existence and boundedness in a 2D Keller-Segel-Stokes system with nonlinear diffusion and rotational flux, Commun. Math. Sci. 14 (2016), no. 7, 1889-1910.

17. Li Xie ,Boundedness in a two-dimensional attraction-repulsion system with nonlinear diffusion, Math. Methods Appl. Sci. 39 (2016), no. 2, 289–301.

18. Li Xie, Zhaoyin Xiang, Boundedness in quasilinear Keller-Segel equations with nonlinear sensitivity and logistic source, Discrete Contin. Dyn. Syst. 35 (2015), no. 8, 3503-3531.

主持项目

1. 重庆市自然科学基金面上项目, CSTB2023NSCQ-MSX0411,一类具有交叉扩散的反应扩散方程组解的性质研究,2023/07-2026/06,主持,在研。

2. 重庆市自然科学基金面上项目, cstc2020jcyj-msxmX0560,具有间接化学信号的趋化模型的性质研究,2020/06-2023/06,主持,已结题。

3. 国家自然科学基金青年基金项目,11701461,耦合(Navier-)Stokes流的趋化模型研究,2018/01-2020/12,主持,已结题。

4. 第62批中国博士后科学基金面上项目,2017M622990,趋化流体模型的定性研究与数值计算,2017/10-2022/05,主持,已结题。

5. 第11批中国博士后科学基金特别资助项目,2018T110956,趋化性在水底无脊椎生物受精现象中的应用模型研究,2018/06-2022/05,主持,已结题。

6. 四川省教育厅重点项目,18ZA0478,生物趋化性现象的模型研究,2018.01-2020.12,主持,已结题。

7. 四川省教育厅一般项目,15ZB0145,非线性反应扩散方程解的研究,2015.01-2016.12,主持,已结题。

荣誉获奖

1.四川省科技进步奖,自然科学类,二等奖,复杂环境中趋化模型的数学理论,2019-Z-2-03-R03

2.重庆师范大学博望学者领军人才计划,2022年

3.重庆师范大学优秀共产党员,2023年