Leyun Wu
time： 2025-11-24

Leyun Wu

Position: Professor
Email: leyunwu@scut.edu.cn

Research Interests

  • Nonlinear Partial Differential Equations and Applications

  • Qualitative Study on Anomalous Diffusion Models

Education and Work Experience

Education Experience:

  • 2015/3-2019/3: Northwestern Polytechnical University, Mathematics (Ph.D.)

Work Experience:

  • 2024/03-Present: South China University of Technology, School of Mathematics, Professor / Ph.D. Supervisor

  • 2023/02-2024/03: The Chinese University of Hong Kong, The Institute of Mathematical Sciences, Postdoctoral Fellow (Co-advisor: Prof. Zhouping Xin)

  • 2021/02-2023/02: The Hong Kong Polytechnic University, Department of Applied Mathematics, Postdoctoral Fellow (Co-advisor: Prof. Zhi-An Wang)

  • 2019/05-2021/01: Shanghai Jiao Tong University, School of Mathematical Sciences, Postdoctoral Fellow (Co-advisor: Prof. Fang Wang and Prof. Congming Li)

Research Achievement

  • Qingyou He, Ling-Yun Shou*, Leyun Wu, Global dynamics for the generalized chemotaxis-Navier-Stokes system in $\mathbb{R}^3$, to appear in European J. Appl. Math., 2025.

  • Xinjing Wang, Leyun Wu*, Liouville theorems for fractional elliptic systems with different orders, to appear in Bull. Lond. Math. Soc., 2025.

  • Liying Shan, Wei Shuai, Leyun Wu*, Multiple solutions to the nonlinear Schrödinger equation with a partial confinement, to appear in J. Anal. Math., 2025.

  • Wenxiong Chen, Leyun Wu*, Blow-up rate, a priori estimates and global existence for nonlocal parabolic equations, to appear in Israel J. Math., 2024.

  • Wei Dai, Leyun Wu*, 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.

  • Wenxiong Chen, Leyun Wu*, 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.

  • Hai-Yang Jin, Zhi-An Wang*, Leyun Wu, Global solvability and stability of an alarm-taxis system. SIAM J. Math. Anal. 55 (2023), no. 4, 2838–2876.

  • Zhi-An Wang, Leyun Wu*, Lotka-Volterra diffusion-advection competition system with dynamical resources. Discrete Contin. Dyn. Syst. Ser. B 28 (2023), no. 6, 3322–3348.

  • Tingfu Feng, Leyun Wu*, Global dynamics and pattern formation for predator-prey system with density-dependent motion. Math. Biosci. Eng. 20 (2023), no. 2, 2296–2320.

  • Leyun Wu, Wenxiong Chen*, Ancient solutions to nonlocal parabolic equations. Adv. Math. 408 (2022), part B, Paper No. 108607, 42 pp.

  • Hai-Yang Jin, Zhi-An Wang, Leyun Wu*, Global dynamics of a three-species spatial food chain model. J. Differential Equations 333 (2022), 144–183.

  • Zhi-An Wang, Leyun Wu*, Global solvability of a class of reaction-diffusion systems with cross-diffusion. Appl. Math. Lett. 124 (2022), Paper No. 107699, 8 pp.

  • Leyun Wu, Wenxiong Chen*, Monotonicity of solutions for fractional equations with De Giorgi type nonlinearities (in Chinese). Sci. Sin. Math. 52, 1–22 (2022).

  • Wenxiong Chen, Leyun Wu*, Pengyan Wang, Nonexistence of solutions for indefinite fractional parabolic equations. Adv. Math. 392 (2021), Paper No. 108018, 26 pp.

  • Congming Li, Leyun Wu*, Pointwise regularity for fractional equations. J. Differential Equations 302 (2021), 1–36.

  • Leyun Wu, Mei Yu*, Binlin Zhang, Monotonicity results for the fractional p-Laplacian in unbounded domains. Bull. Math. Sci. 11 (2021), no. 2, Paper No. 2150003, 29 pp.

  • Leyun Wu*, Sliding methods for the higher order fractional Laplacians. Fract. Calc. Appl. Anal. 24 (2021), no. 3, 923–949.

  • Wenxiong Chen, Leyun Wu*, 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.

  • Wenxiong Chen, Leyun Wu*, Liouville theorems for fractional parabolic equations. Adv. Nonlinear Stud. 21 (2021), no. 4, 939–958.

  • Leyun Wu, Mei Yu*, Some monotonicity results for the fractional Laplacian in unbounded domain. Complex Var. Elliptic Equ. 66 (2021), no. 4, 689–707.

  • Leyun Wu, Wenxiong Chen*, The sliding methods for the fractional p-Laplacian. Adv. Math. 361 (2020), 106933, 26 pp.

  • Leyun Wu, Pengcheng Niu*, Symmetry and nonexistence of positive solutions to fractional p-Laplacian equations. Discrete Contin. Dyn. Syst. 39 (2019), no. 3, 1573–1583.

  • Pengcheng Niu, Leyun Wu*, 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.

  • Pengcheng Niu, Leyun Wu*, Xiaoxue Ji, Positive solutions to nonlinear systems involving fully nonlinear fractional operators. Fract. Calc. Appl. Anal. 21 (2018), no. 2, 552–574.

  • Leyun Wu, Pengcheng Niu*, Harnack inequalities for weighted subelliptic p-Laplace equations constructed by Hörmander vector fields. Math. Rep. (Bucur.) 19(69) (2017), no. 3, 313–337.

  • Leyun Wu, Pengcheng Niu*, Green functions for weighted subelliptic p-Laplace operator constructed by Hörmander's vector fields. J. Math. Anal. Appl. 444 (2016), no. 2, 1565–1590.

Others（Awards、Research Grants…etc）

  • 2025.1.1-2020.12.31, Guangdong Provincial Outstanding Young Scientist Fund Project (2024), No. 2025B151502069, Hosted.

  • 2025.1.1-2027.12.31, National Natural Science Foundation of China, Youth Fund, No. 12401133, Qualitative Study on Solutions of Nonlocal Equations, Hosted.

  • 2021.1.1-2025.12.31, National Natural Science Foundation of China, Key Project, No. 12031012, Several Types of Liouville Theorems and Related Problems, Participated.