School of Mathematics and Statistics · Wuhan University

敖微微 | Weiwei Ao

Professor · Ph.D. Supervisor · Nonlinear Partial Differential Equations

敖微微，武汉大学数学与统计学院教授，博士生导师、硕士生导师。主要从事非线性偏微分方程、奇异摄动问题、反应扩散系统、非局部方程与高阶偏微分方程等方向的研究。

Contact                                        


OfficeLei Jun Science and Technology Building A432  
AddressDepartment of Mathematics and Statistics，Wuhan University, Wuhan,  430072

个人简介 / Biography

中文简介

敖微微，武汉大学数学与统计学院教授，博士生导师、硕士生导师。主要从事非线性偏微分方程、非线性椭圆方程组、奇异摄动问题、反应扩散系统、非局部方程与高阶偏微分方程等方向的研究。研究工作围绕非线性偏微分方程中的集中现象、爆破解、奇异解、斑图形成、Chern–Simons 系统、Toda 系统、分数阶 Yamabe 问题及相关几何分析问题展开。

English Biography

Weiwei Ao is a Professor in the School of Mathematics and Statistics at Wuhan University. Her research interests include nonlinear partial differential equations, concentration phenomena in nonlinear PDEs and elliptic systems, singular perturbation problems, reaction-diffusion systems, and nonlocal and higher-order PDEs.

研究方向 / Research Interests

非线性偏微分方程非线性泛函分析集中现象奇异摄动反应扩散系统Chern–Simons systemsToda systemsFractional Yamabe problemNonlocal equationsHigher-order PDEs
  • 非线性偏微分方程与非线性泛函分析。
  • 非线性偏微分方程与椭圆方程组中的集中现象。
  • 奇异摄动问题、斑图形成及稳定尖峰解。
  • Chern–Simons 系统、Toda 系统、Sinh-Gordon 方程及相关爆破分析。
  • 非局部方程、分数阶 Laplace 方程、高阶偏微分方程与分数阶 Yamabe 问题。
  • 非线性 Schrödinger 方程、Gross–Pitaevskii 方程及相关涡环结构。

教育经历 / Education

2010.09–2013.07
香港中文大学，数学，博士；导师：魏军城教授
Ph.D. in Mathematics, The Chinese University of Hong Kong. Advisor: Prof. Juncheng Wei.
2008.08–2010.07
香港中文大学，数学，硕士；导师：魏军城教授
M.Sc. in Mathematics, The Chinese University of Hong Kong. Advisor: Prof. Juncheng Wei.
2004.09–2008.07
武汉大学，数学，学士
B.S. in Mathematics, Wuhan University.

工作经历 / Employment

2019.06–至今
武汉大学，教授
Professor, Wuhan University.
2016.07–2019.05
武汉大学，副教授
Associate Professor, Wuhan University.
2014.08–2016.06
加拿大英属哥伦比亚大学，博士后
Postdoctoral Fellow, University of British Columbia.
2013.08–2014.07
台湾大学，博士后
Postdoctoral Fellow, National Taiwan University.

科研项目与奖励 / Grants and Awards

  • 国家自然科学基金，No. 12471111，2025.01.01—2028.12.31，主持。
  • 国家重点研发计划，No. 2022YFA1006800，2022.12—2027.11，主持。
  • 国家自然科学基金，No. 12071357，2021.01.01—2024.12.31，主持。
  • 国家自然科学基金，No. 11801421，2019.01.01—2021.12.31，主持。
  • 国家自然科学基金创新研究群体项目，No. 12221001，2023.01.01—2027.12.31，参与。
  • 国家自然科学基金重点项目，No. 12131017，2022.01.01—2026.12.31，参与。
  • 国家自然科学基金重点项目，No. 11631011，2017.01.01—2021.12.31，参与。
  • 2016年，海外高层次人才引进计划。

学术访问 / Visiting Experience

  • 2019.07，西班牙马德里自治大学 / Universidad Autónoma de Madrid, Spain.
  • 2019.03，加拿大英属哥伦比亚大学 / University of British Columbia, Canada.
  • 2018.08，韩国忠北国立大学 / Chungbuk National University, Korea.
  • 2015.05，智利天主教大学 / Pontificia Universidad Católica de Chile, Chile.

论文成果 / All Publications

A. Nonlocal and Higher-order PDEs
  1. Ao, Weiwei; Liu, Yong; Yan, Haicheng; Yang, Wen. Sharp estimate for bubbling solution of an even-order mean field equation. Submitted.
  2. Ao, Weiwei; Lai, Shanshan; Luo, Senping. Classification of finite Morse index solutions to the polyharmonic Hénon equation. Calc. Var. Partial Differential Equations 62 (2023), no. 1, Paper No. 19.
  3. Ao, Weiwei; González, María del Mar; Hyder, Ali; Wei, Juncheng. Removability of singularities and superharmonicity for some fractional Laplacian equations. Indiana Univ. Math. J. 71 (2022), no. 2, 735–766.
  4. Ao, Weiwei; DelaTorre, Azahara; González, María del Mar. Symmetry and symmetry breaking for the fractional Caffarelli-Kohn-Nirenberg inequality. J. Funct. Anal. 282 (2022), no. 11, Paper No. 109438, 58 pp.
  5. Ao, Weiwei; Liu, Chao; Wang, Liping. Fast and slow decay solutions for supercritical fractional elliptic problems in exterior domains. Proc. Roy. Soc. Edinburgh Sect. A 152 (2022), no. 1, 28–53.
  6. Ao, Weiwei; DelaTorre, Azahara; González, María del Mar; Wei, Juncheng. A gluing approach for the fractional Yamabe problem with isolated singularities. J. Reine Angew. Math. 763 (2020), 25–78.
  7. Ao, Weiwei; Chan, Hardy; DelaTorre, Azahara; Fontelos, Marco A.; González, María del Mar; Wei, Juncheng. ODE methods in non-local equations. J. Math. Study 53 (2020), no. 4, 370–401.
  8. Ao, Weiwei; González, María del Mar; Sire, Yannick. Boundary connected sum of Escobar manifolds. J. Geom. Anal. 30 (2020), no. 4, 4092–4109.
  9. Ao, Weiwei; Chan, Hardy; González, María del Mar; Wei, Juncheng. Bound state solutions for the supercritical fractional Schrödinger equation. Nonlinear Anal. 193 (2020), 111448, 21 pp.
  10. Ao, Weiwei; Chan, Hardy; DelaTorre, Azahara; Fontelos, Marco A.; González, María del Mar; Wei, Juncheng. On higher-dimensional singularities for the fractional Yamabe problem: A nonlocal Mazzeo-Pacard problem. Duke Math. J. 168 (2019), no. 17, 3297–3411.
  11. Ao, Weiwei; Chan, Hardy; González, María del Mar; Wei, Juncheng. Existence of positive weak solutions for fractional Lane-Emden equations with prescribed singular sets. Calc. Var. Partial Differential Equations 57 (2018), no. 6, Paper No. 149, 25 pp.
B. Chern–Simons Systems and Related Problems
  1. Ao, Weiwei; Gao, Min; Yan, Haicheng; Yang, Wen. F-stability, entropy and energy gap for the exponential semilinear heat equation. Submitted.
  2. Ao, Weiwei; Liu, Chao. Non-topological condensates for the self-dual Maxwell-Chern-Simons model. Chinese Annals of Mathematics, Series B 46 (2025), no. 5, 663–694.
  3. Ao, Weiwei; Jevnikar, Aleks; Yang, Wen. Blow up solutions for Sinh-Gordon equation with residual mass. Calc. Var. Partial Differential Equations 61 (2022), Paper No. 209.
  4. Ao, Weiwei; Kwon, Ohsang; Lee, Youngae. Multi-bubbling condensates for the Maxwell-Chern-Simons model. Calc. Var. Partial Differential Equations 61 (2022), no. 1, Paper No. 34, 19 pp.
  5. Ao, Weiwei; Kwon, Ohsang; Lee, Youngae. Periodic Maxwell-Chern-Simons vortices with concentrating property. Math. Ann. 381 (2021), no. 3–4, 1885–1942.
  6. Ao, Weiwei; Jevnikar, Aleks; Yang, Wen. Wave equations associated with Liouville-type problems: global existence in time and blow-up criteria. Ann. Mat. Pura Appl. (4) 200 (2021), no. 3, 1175–1194.
  7. Ao, Weiwei; Jevnikar, Aleks; Yang, Wen. On the boundary behavior for the blow-up solutions of the sinh-Gordon equation and rank N Toda systems in bounded domains. Int. Math. Res. Not. IMRN 2020, no. 23, 9386–9419.
  8. Ao, Weiwei; Yang, Wen. On the classification of solutions of cosmic strings equation. Ann. Mat. Pura Appl. (4) 198 (2019), no. 6, 2183–2193.
  9. Ao, Weiwei; Lin, Chang-Shou; Wei, Juncheng. On non-topological solutions of the G2 Chern-Simons system. Comm. Anal. Geom. 24 (2016), no. 4, 717–752.
  10. Ao, Weiwei; Lin, Changshou; Wei, Juncheng. On non-topological solutions of the A2 and B2 Chern-Simons system. Memoirs of the American Mathematical Society 239 (2016), 1–87.
  11. Ao, Weiwei. Sharp estimates for fully bubbling solutions of B2 Toda system. Discrete Contin. Dyn. Syst. 36 (2016), no. 4, 1759–1788.
  12. Ao, Weiwei; Lin, Chang-Shou; Wei, Juncheng. On Toda system with Cartan matrix G2. Proc. Amer. Math. Soc. 143 (2015), no. 8, 3525–3536.
  13. Ao, Weiwei; Wang, Liping. New concentration phenomena for SU(3) Toda system. J. Differential Equations 256 (2014), no. 4, 1548–1580.
C. Concentration Phenomena and Related Problems
  1. Ao, Weiwei; Winter, Matthias; Wei, Juncheng. Stable spikes for a reaction-diffusion system modelling color pattern formation. Physica D 481 (2025), 134580.
  2. Ao, Weiwei; Lv, Juntao; Wang, Kelei. From nonlinear Schrödinger equation to interacting particle system. J. Differential Equations 442 (2025), 113509.
  3. Ao, Weiwei; Liu, Yong; Wei, Juncheng. Clustered travelling vortex rings to the axisymmetric three-dimensional incompressible Euler flows. Phys. D 434 (2022), Paper No. 133258.
  4. Ao, Weiwei; Fu, Mengdie; Liu, Chao. Boundary concentrations on segments for a Neumann Ambrosetti-Prodi problem. Discrete Contin. Dyn. Syst. 42 (2022), no. 10, 4991–5015.
  5. Ao, Weiwei; Peng, Yunjie; Winter, Matthias. Existence and stability of a spike in the central component for a consumer chain model in a two-dimensional domain. Nonlinear Anal. 221 (2022), Paper No. 112880, 24 pp.
  6. Ao, Weiwei; Davila, Juan; del Pino, Manuel; Musso, Monica; Wei, Juncheng. Travelling and rotating solutions to the generalized inviscid surface quasi-geostrophic equation. Trans. Amer. Math. Soc. 374 (2021), no. 9, 6665–6689.
  7. Ao, Weiwei; Huang, Yehui; Liu, Yong; Wei, Juncheng. Generalized Adler-Moser polynomials and multiple vortex rings for the Gross-Pitaevskii equation. SIAM J. Math. Anal. 53 (2021), no. 6, 6959–6992.
  8. Ao, Weiwei; Liu, Chao. Asymptotic behavior of sign-changing radial solutions of a semilinear elliptic equation in R2 when exponent approaches +∞. Discrete Contin. Dyn. Syst. 40 (2020), no. 8, 5047–5077.
  9. Ao, Weiwei; Wei, Juncheng; Winter, Matthias. Stable spike clusters on a compact two-dimensional Riemannian manifold. J. Differential Equations 268 (2020), no. 7, 3665–3704.
  10. Ao, Weiwei; Musso, Monica; Wei, Juncheng. Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schrödinger equation. Bull. Soc. Math. France 147 (2019), no. 1, 1–48.
  11. Ao, Weiwei; Wei, Juncheng; Winter, Matthias. Stable boundary spike clusters for the two-dimensional Gierer-Meinhardt system. J. Math. Pures Appl. (9) 121 (2019), 1–46.
  12. Ao, Weiwei; Chan, Hardy; Wei, Juncheng. Boundary concentrations on segments for the Lin-Ni-Takagi problem. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) 18 (2018), no. 2, 653–696.
  13. Ao, Weiwei; Wei, Juncheng; Yang, Wen. Infinitely many positive solutions of fractional nonlinear Schrödinger equations with non-symmetric potentials. Discrete Contin. Dyn. Syst. 37 (2017), no. 11, 5561–5601.
  14. Ao, Weiwei; Wei, Juncheng; Yao, Wei. Uniqueness and nondegeneracy of sign-changing radial solutions to an almost critical elliptic problem. Adv. Differential Equations 21 (2016), no. 11–12, 1049–1084.
  15. Ao, Weiwei; Wang, Liping; Yao, Wei. Infinitely many solutions for nonlinear Schrödinger system with non-symmetric potentials. Commun. Pure Appl. Anal. 15 (2016), no. 3, 965–989.
  16. Ao, Weiwei; Musso, Monica; Pacard, Frank; Wei, Juncheng. Solutions without any symmetry for semilinear elliptic problems. J. Funct. Anal. 270 (2016), no. 3, 884–956.
  17. Ao, Weiwei; Wei, Juncheng. Infinitely many positive solutions for nonlinear equations with non-symmetric potentials. Calc. Var. Partial Differential Equations 51 (2014), no. 3–4, 761–798.
  18. Ao, Weiwei; Yang, Jun. Layered solutions with concentration on lines in three-dimensional domains. Anal. Appl. (Singap.) 12 (2014), no. 2, 161–194.
  19. Ao, Weiwei; Wei, Juncheng; Zeng, Jing. An optimal bound on the number of interior spike solutions for the Lin-Ni-Takagi problem. J. Funct. Anal. 265 (2013), no. 7, 1324–1356.
  20. Ao, Weiwei; Musso, Monica; Wei, Juncheng. Triple junction solutions for a singularly perturbed Neumann problem. SIAM J. Math. Anal. 43 (2011), no. 6, 2519–2541.
  21. Ao, Weiwei; Musso, Monica; Wei, Juncheng. On spikes concentrating on line-segments to a semilinear Neumann problem. J. Differential Equations 251 (2011), no. 4–5, 881–901.

学术报告 / Selected Talks

  • MFO-RIMS Tandem Workshop, online, March 21–25, 2022.
  • UK-China Workshop on Nonlinear PDEs, Wuhan University, June 24–26, 2021.
  • Geometric PDEs Caserta, Università della Campania Luigi Vanvitelli, Italy, Sep. 13–16, 2021.
  • Nonlinear Geometry PDEs, Banff, Canada, May 5–10, 2019.
  • The International Conference on Nonlocal Dynamical System and Applications, Lanzhou University, June 22–24, 2018.
  • Young PDEs @ Rome, Rome University, Italy, Feb. 19–23, 2018.

教学 / Teaching

  • 本科生课程：
  • 研究生课程：

招生信息 / Prospective Students

有意申请的同学可通过电子邮件联系，并请简要说明学习背景、研究兴趣及相关课程或科研经历。联系邮箱：wwao@whu.edu.cn

© 2026 Weiwei Ao. This editable page links to the official Wuhan University profile.