教授
武乐云，华南理工大学数学学院准聘教授，博士生导师。
工作经历
2019.5-2021.2 上海交通大学 博士后 合作导师：王芳教授和李从明教授
2021.2-2023.2 香港理工大学 博士后 合作导师：王治安教授
2023.2-2024.3 香港中文大学 博士后 合作导师：辛周平教授
2024.3 至今 华南理工大学 准聘教授
教育背景
2015.3-2019.3 西北工业大学 数学 博士 导师：钮鹏程教授
访问经历
2018.12-2019.5 Yeshiva大学 数学系 联合培养导师：陈文雄教授
主要研究方向：非线性偏微分方程及其应用、反常扩散模型的定性研究、生物趋向性运动的数学理论。
博士生、硕士生招生方向: 应用数学
主持和参与科研项目：
国家自然科学基金委员会，青年基金，12401133，非局部方程解的定性研究， 2025.1.1-2027.12.31, 主持。
国家自然科学基金委员会，重点项目，12031012，几类Liouville定理及相关问题，2021.1.1-2025.12.31，参与。
发表论文：
[23] Chen, Wenxiong, Wu, Leyun*, Blow-up rate, a priori estimates and global existence for nonlocal parabolic equations, to appear in Israel J. Math., 2024.
[22] Dai, Wei, Wu, Leyun*, Uniform a priori estimates for the n-th order Lane-Emden system in Rn with n≥3. Math. Z. 307 (2024), no. 1, Paper No. 3, 30 pp.
[21] Chen, Wenxiong; Wu, Leyun*, Monotonicity and one-dimensional symmetry of solutions for fractional reaction-diffusion equations and various applications of sliding methods. Ann. Mat. Pura Appl. (4) 203 (2024), no. 1, 173–204.
[20] Jin, Hai-Yang, Wang, Zhi-An*, Wu, Leyun, Global solvability and stability of an alarm-taxis system. SIAM J. Math. Anal. 55 (2023), no. 4, 2838–2876.
[19] Wang, Zhi-An, Wu, Leyun*, Lotka-Volterra diffusion-advection competition system with dynamical resources. Discrete Contin. Dyn. Syst. Ser. B 28 (2023), no. 6, 3322–3348.
[18] Feng, Tingfu, Wu, Leyun*, Global dynamics and pattern formation for predator-prey system with density-dependent motion. Math. Biosci. Eng. 20 (2023), no. 2, 2296–2320.
[17] Wu, Leyun, Chen, Wenxiong*, Ancient solutions to nonlocal parabolic equations. Adv. Math. 408 (2022), part B, Paper No. 108607, 42 pp.
[16] Jin, Hai-Yang, Wang, Zhi-An, Wu, Leyun*, Global dynamics of a three-species spatial food chain model. J. Differential Equations 333 (2022), 144–183.
[15] Wang, Zhi-An, Wu, Leyun*, Global solvability of a class of reaction-diffusion systems with cross-diffusion. Appl. Math. Lett. 124 (2022), Paper No. 107699, 8 pp. 35K57 (92E20)
[14] Wu, Leyun, Chen, Wenxiong*, Monotonicity of solutions for fractional equations with De Giorgi type nonlinearities (in Chinese). Sci. Sin. Math. 52, 1–22 (2022)
[13] Chen, Wenxiong, Wu, Leyun*, Wang, Pengyan, Nonexistence of solutions for indefinite fractional parabolic equations. Adv. Math. 392 (2021), Paper No. 108018, 26 pp.
[12] Li, Congming, Wu, Leyun*, Pointwise regularity for fractional equations. J. Differential Equations 302 (2021), 1–36.
[11] Wu, Leyun, Yu, Mei*, Zhang, Binlin, Monotonicity results for the fractional p-Laplacian in unbounded domains. Bull. Math. Sci. 11 (2021), no. 2, Paper No. 2150003, 29 pp.
[10] Wu, Leyun*, Sliding methods for the higher order fractional Laplacians. Fract. Calc. Appl. Anal. 24 (2021), no. 3, 923–949.
[9] Chen, Wenxiong, Wu, Leyun*, Uniform a priori estimates for solutions of higher critical order fractional equations. Calc. Var. Partial Differential Equations 60 (2021), no. 3, Paper No. 102, 19 pp.
[8] Chen, Wenxiong, Wu, Leyun*, Liouville theorems for fractional parabolic equations. Adv. Nonlinear Stud. 21 (2021), no. 4, 939–958.
[7] Wu, Leyun, Yu, Mei*, Some monotonicity results for the fractional Laplacian in unbounded domain. Complex Var. Elliptic Equ. 66 (2021), no. 4, 689–707.
[6] Wu, Leyun, Chen, Wenxiong*, The sliding methods for the fractional p-Laplacian. Adv. Math. 361 (2020), 106933, 26 pp.
[5] Wu, Leyun, Niu, Pengcheng*, Symmetry and nonexistence of positive solutions to fractional p-Laplacian equations. Discrete Contin. Dyn. Syst. 39 (2019), no. 3, 1573–1583.
[4] Niu, Pengcheng, Wu, Leyun*, Harnack's inequality and applications of quasilinear degenerate elliptic equations with rough and singular coefficients. Bull. Braz. Math. Soc. (N.S.) 49 (2018), no. 2, 279–312.
[3] Niu, Pengcheng, Wu, Leyun*, Ji, Xiaoxue, Positive solutions to nonlinear systems involving fully nonlinear fractional operators. Fract. Calc. Appl. Anal. 21 (2018), no. 2, 552–574.
[2] Wu, Leyun, Niu, Pengcheng*, Harnack inequalities for weighted subelliptic p-Laplace equations constructed by Hörmander vector fields. Math. Rep. (Bucur.) 19(69) (2017), no. 3, 313–337.
[1] Wu, Leyun; Niu, Pengcheng*, Green functions for weighted subelliptic p-Laplace operator constructed by Hörmander's vector fields. J. Math. Anal. Appl. 444 (2016), no. 2, 1565–1590.
电子邮箱: leyunwu@scut.edu.cn
办公室：华南理工大学五山校区四号楼