基本信息
职称: 教授
系部: 应用数学系
办公室: 汇贤楼530
办公电话: 13308378649
E-mail:xieli-520@163.com
社会兼职:
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.
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