Welcome to Wen Yang's homepage

Education

  1. Ph.D. in Mathematics, University of British Columbia, 2015
  2. MPhil in Mathematics, The Chinese University of Hong Kong, 2012
  3. Bachelor in Mathematics, Wuhan University, 2010

Work Experience

  1.  12/2023 – Current, Associate Professor, University of Macau.
  2.  04/2019 – 12/2023, Professor (Research Fellow), Wuhan Institute of Physics and Mathematics, Innovation Academy for Precision Measurement Science and Technology, Chinese Academy of Sciences.
  3.  02/2018 – 03/2019, Associate Professor (Research Associate), Wuhan Institute of Physics and Mathematics, Chinese Academy of Sciences.
  4.  06/2017 – 02/2018, Postdoctoral, Department of Applied Mathematics, Hong Kong Polytechnic University.
  5.  09/2015 – 04/2017, Postdoctoral, Center for Advanced Study in Theoretical Sciences, National Taiwan University.

Research

Research interests

  1. Nonlinear Elliptic Partial Differential Equation: blow-up analysis of Toda system and Mean field equation, qualitative study on Allen-Cahn equation, classification of travelling type solution to Gross-Pitaevskii equation
  2. Mathematical Biology: pattern formation and concentration phenomena
  3. Numerical Analysis: stability of BDF scheme 

Research Grants

  1. FDCT Grant, On the blow up solutions of Toda system and Liouville type equation, Grant No. 0070/2024/RIA1, from Oct. 2024 – Oct. 2027.
  2. Multi-Year Research Grant, The concentration phenomenon in reaction diffusion system, Grant No. MYRG-GRG2024-00082-FST, from Jan. 2025 – Dec. 2026.
  3. Start-up Research Grant, Qualitative analysis of blow-up solutions to higher oder Liouville equation, Grant No. SRG2023-00067-FST, from Dec. 2023 – Dec. 2026.
  4. NSFC Grant, On Weighted local and nonlocal elliptic equations, Grant No. 12271369,  Jan. 2023 – Dec. 2026, Participate.
  5. National Key R&D Program of China Grant, Some Nonlinear Problems in Partial Differential Equations from Geometry and Physics, Grant No. 2022YFA1006800, from Dec. 2022 – Dec. 2027, Participate.
  6. NSFC Grant, Some problems in higher order Liouville equation, Grant No. 12171456, from Jan. 2022 – Dec. 2025. 
  7. NSFC Grant, Regularity of Solutions for Boundary Value Problems of Degenerate Monge-Ampere Equations, Grant No. 11871470, Jan. 2019 – Dec. 2022, Participate.
  8. NSFC Youth Grant, Some problems from Toda system and Mean Field equation, Grant No. 11801550, from Jan. 2019 – Dec. 2021.

Publications

  1. Jevnikar Aleks; Sire, Yannick; Yang, Wen; Prescribing Q curvature on even-dimensional manifolds with conical singularities. To appear in Revista Matemática Iberoamericana.
  2. Fazly, Mostafa; Wei, Juncheng; Yang, Wen; Classification of finite Morse index solutions of higher-order Gelfand-Liouville equation. To appear in Discrete Contin. Dyn. Syst.
  3. Liu, Yong; Wei, Juncheng; Yang, Wen; Lump type solutions: Backlund transformation and spectral properties. To appear in Physica D: Nonlinear Phenomena.
  4. Chen, Xianjin; Lee, Chiun-Chang; Yang, Wen; Asymptotics and computation for a class of Fredholm integro-differential equations. To appear in Discrete Contin. Dyn. Syst.
  5. Cai, Li; Wang, Jun; Wei, Juncheng; Yang, Wen; Infinite time bubble towers in the fractional heat equation with ciritical exponent. To appear in Ann. Sc. Norm. Super. Pisa Cl. Sci.
  6. Xie, Shuangquan; Yang, Wen; Zhang, Jiaojiao; Stable oscillations of multiple spikes in three-component reaction-diffusion systems. Journal of Nonlinear Sciences, 34 (2024), no. 4, Paper No. 78.
  7. Liu, Yong; Wei, Juncheng; Yang, Wen; Uniqueness of lump solutions of KP-I equations. Proceedings of London Math Society, (3) 129 (2024), no. 1, Paper No. e12619, 45 pp.
  8. Cui, Leilei; Liu, Yong; Wang, Chunhua; Wang, Jun; Yang, Wen; The Einstein-scalar field Lichnerowicz equations on graphs. Calc. Var. Partial Differential Equations, 63 (2024), no. 6, Paper No. 138.
  9. Tao, Weirun; Wang, Zhi-An; Yang, Wen; Global dynamics of a two species clustering model with Lotka-Volterra competition. NoDEA Nonlinear Differential Equations Appl. 31 (2024), no. 4, Paper No. 47.
  10. Cheng, Xinyu; Li, Dong; Yang, Wen; Localization for general Helmholtz. J. Differential Equations, 393 (2024), 139–154.
  11. Gomez, Daniel; de Medeiros, Markus; Wei, Juncheng; Yang, Wen; Spike Solutions to the Supercritical Fractional Gierer-Meinhardt System. Journal of Nonlinear Sciences, 34 (2024), no. 1, Paper No. 24.
  12. Gao, Min; Winter, Matthias; Yang, Wen; Existence and stability of singular patterns in a fractional Ginzburg–Landau equation with a mean field. European J. Appl. Math. 34 (2023), no. 6, 1242-1268.
  13. Cui, Leilei; Wei, Jun-cheng; Yang, Wen; Zhang, Lei; The blow-up analysis on B^(1)_2 affine Toda system: local mass and affine Weyl group. Int. Math. Res. Not. IMRN, 2023, no. 18, 16140–16199.
  14. Cheng, Xinyu; Li, Dong; Yang, Wen; On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order. Commun. Contemp. Math. 25 (2023), no. 9, Paper No. 2250036, 8 pp.  
  15. Jevnikar, Aleks; Wang, Jun; Yang, Wen; Liouville type theorems and periodic solutions for the nonhomogeneous parabolic systems. Z. Angew. Math. Phys. 74 (2023), no. 4, Paper No. 145, 29 pp.
  16. Hu, Yeyao; Li, Yuan; Yang, Wen; Partial regularity of the fractional Gelfand-Liouville system. Discrete Contin. Dyn. Syst. 43 (2023), no. 7, 2721–2736.
  17. Battaglia, Luca; Jevnikar, Aleks; Wang, Zhi-An; Yang, Wen; Prescribing Gaussian curvature on surfaces with conical singularities and geodesic boundary. Ann. Mat. Pura Appl. (4) 202 (2023), no. 3, 1173–1185.
  18. Bartolucci, Daniele; Hu, Yeyao; Jevnikar, Aleks; Yang, Wen; Generic properties of the Rabinowitz unbounded continuum. Adv. Nonlinear Stud. 23 (2023), no. 1, Paper No. 20220062, 12 pp.
  19. Li, Dong; Quan, Chaoyu; Tang, Tao; Yang, Wen; Sharp convergence to steady states of Allen-Cahn. Commun. Math. Anal. Appl., 1 (2022), pp. 355-394.
  20. Gomez, Daniel; Wei, Jun-Cheng; Yang, Wen; Stability of spike solutions to the fractional Gierer-Meinhardt system in a one-dimensional domain. Numer. Math. Theory Methods Appl. 15 (2022), no. 4, 938–989.
  21. Ao, Weiwei; Jevnikar, Aleks; Yang, Wen; Blow up solutions for Sinh-Gordon equation with residual mass. Calc. Var. Partial Differential Equations 61 (2022), no. 6, Paper No. 209, 46 pp.
  22. de Medeiros, Markus; Wei, Jun-Cheng; Yang, Wen; Existence and stability of symmetric and asymmetric patterns for the half-Laplacian Gierer-Meinhardt system in one-dimensional domain. Math. Models Methods Appl. Sci. 32 (2022), no. 6, 1193–1250.
  23. Li, Dong; Quan, Chaoyu; Tang, Tao; Yang, Wen; On symmetry breaking of Allen-Cahn. CSIAM Trans. Appl. Math. 3 (2022), no. 2, 221–243.
  24. Hyder, Ali; Yang, Wen; Classification of stable solutions to a non-local Gelfand-Liouville equation. Int. Math. Res. Not. IMRN 2022, no. 7, 5219–5255.
  25. Bartolucci, Daniele; Hu, Yeyao; Jevnikar, Aleks; Yang, Wen; Generic properties of free boundary problems in plasma physics. Nonlinearity 35 (2022), no. 1, 411–444.
  26. Li, Dong; Quan, Chaoyu; Yang, Wen; The BDF3/EP3 scheme for MBE with no slope selection is stable. J. Sci. Comput. 89 (2021), no. 2, Paper No. 33, 24 pp.
  27. Cheng, Xinyu; Li, Dong; Quan, Chaoyu; Yang, Wen; On a parabolic sine-Gordon model. Numer. Math. Theory Methods Appl. 14 (2021), no. 4, 1068–1084.
  28. Huang, Hsin-Yuan; Wang, Jun; Yang, Wen; Mean field equation and relativistic Abelian Chern-Simons model on finite graphs. J. Funct. Anal. 281 (2021), no. 10, Paper No. 109218, 36 pp.
  29. Lin, Chang-Shou; Yang, Wen; Sharp estimate for the critical parameters of SU(3) Toda system with arbitrary singularities, I. Vietnam J. Math. 49 (2021), no. 2, 363–379.
  30. Hyder, Ali; Yang, Wen; Partial regularity of stable solutions to the fractional Gel’fand-Liouville equation. Adv. Nonlinear Anal. 10 (2021), no. 1, 1316–1327.
  31. 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.
  32. Fazly, Mostafa; Hu, Yeyao; Yang, Wen; On stable and finite Morse index solutions of the nonlocal Hénon-Gelfand-Liouville equation. Calc. Var. Partial Differential Equations 60 (2021), no. 1, Paper No. 11, 26 pp.
  33. Fazly, Mostafa; Yang, Wen; On stable and finite Morse index solutions of the fractional Toda system. J. Funct. Anal. 280 (2021), no. 4, Paper No. 108870, 35 pp.
  34. 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.
  35. Guo, Yujin; Luo, Yong; Yang, Wen; The nonexistence of vortices for rotating Bose-Einstein condensates with attractive interactions. Arch. Ration. Mech. Anal. 238 (2020), no. 3, 1231–1281.
  36. Lee, Chiun-Chang; Wang, Zhi-An; Yang, Wen; Boundary-layer profile of a singularly perturbed nonlocal semi-linear problem arising in chemotaxis. Nonlinearity 33 (2020), no. 10, 5111–5141.
  37. Hyder, Ali; Wei, Jun-cheng; Yang, Wen; On the general Toda system with multiple singular points. Calc. Var. Partial Differential Equations 59 (2020), no. 4, Paper No. 136, 19 pp.
  38. Bartolucci, Daniele; Gui, Changfeng; Hu, Yeyao; Jevnikar, Aleks; Yang, Wen; Mean field equations on tori: existence and uniqueness of evenly symmetric blow-up solutions. Discrete Contin. Dyn. Syst. 40 (2020), no. 6, 3093–3116.
  39. Bartolucci, Daniele; Jevnikar, Aleks; Lee, Youngae; Yang, Wen; Local uniqueness and non-degeneracy of blow up solutions of mean field equations with singular data. J. Differential Equations 269 (2020), no. 3, 2057–2090.
  40. Lin, Chang-Shou; Yang, Wen; Zhong, Xuexiu; A priori estimates of Toda systems, I: the Lie algebras of A_n, B_n, C_n and G_2. J. Differential Geom. 114 (2020), no. 2, 337–391.
  41. Lee, Youngae; Lin, Chang-Shou; Yang, Wen; Zhang, Lei; Degree counting for Toda system with simple singularity: one point blow up. J. Differential Equations 268 (2020), no. 5, 2163–2209.
  42. Ao, Weiwei; Yang, Wen; On the classification of solutions of cosmic strings equation. Ann. Mat. Pura Appl. (4) 198 (2019), no. 6, 2183–2193.
  43. Lee, Youngae; Lin, Chang-Shou; Yang, Wen; Existence of bubbling solutions without mass concentration. Ann. Inst. Fourier (Grenoble) 69 (2019), no. 2, 895–940.
  44. Wang, Jun; Wang, Zhian; Yang, Wen; Uniqueness and convergence on equilibria of the Keller-Segel system with subcritical mass. Comm. Partial Differential Equations 44 (2019), no. 7, 545–572.
  45. Bartolucci, Daniele; Jevnikar, Aleks; Lee, Youngae; Yang, Wen; Local uniqueness of m-bubbling sequences for the Gelʹfand equation. Comm. Partial Differential Equations 44 (2019), no. 6, 447–466.
  46. Jevnikar, Aleks; Yang, Wen; A mean field equation involving positively supported probability measures: blow-up phenomena and variational aspects. Proc. Roy. Soc. Edinburgh Sect. A 149 (2019), no. 2, 325–352.
  47. Wei, Juncheng; Yang, Wen; Multi-bump ground states of the fractional Gierer-Meinhardt system on the real line. J. Dynam. Differential Equations 31 (2019), no. 1, 385–417.
  48. Bartolucci, Daniele; Jevnikar, Aleks; Lee, Youngae; Yang, Wen; Uniqueness of bubbling solutions of mean field equations. J. Math. Pures Appl. (9) 123 (2019), 78–126.
  49. Wei, Juncheng; Xu, Bin; Yang, Wen; On Lin-Ni’s conjecture in dimensions four and six. Science in China: Mathematics, 49 (2019), no. 2, 281-306.
  50. Bartolucci, Daniele; Jevnikar, Aleks; Lee, Youngae; Yang, Wen; Non-degeneracy, mean field equations and the Onsager theory of 2D turbulence. Arch. Ration. Mech. Anal. 230 (2018), no. 1, 397–426.
  51. Jevnikar, Aleks; Wei, Juncheng; Yang, Wen; Classification of blow-up limits for the sinh-Gordon equation. Differential Integral Equations 31 (2018), no. 9-10, 657–684.
  52. Wang, Jun; Yang, Wen; Normalized solutions and asymptotical behavior of minimizer for the coupled Hartree equations. J. Differential Equations 265 (2018), no. 2, 501–544.
  53. Jevnikar, Aleks; Wei, Juncheng; Yang, Wen; On the topological degree of the mean field equation with two parameters. Indiana Univ. Math. J. 67 (2018), no. 1, 29–88.
  54. Lee, Youngae; Lin, Chang-Shou; Wei, Juncheng; Yang, Wen; Degree counting and shadow system for Toda system of rank two: one bubbling. J. Differential Equations 264 (2018), no. 7, 4343–4401.
  55. Lin, Chang-Shou; Wei, Jun-cheng; Yang, Wen; Zhang, Lei; On rank-2 Toda systems with arbitrary singularities: local mass and new estimates. Anal. PDE 11 (2018), no. 4, 873–898.
  56. Lee, Youngae; Lin, Chang-Shou; Tarantello, Gabriella; Yang, Wen; Sharp estimates for solutions of mean field equations with collapsing singularity. Comm. Partial Differential Equations 42 (2017), no. 10, 1549–1597.
  57. Wei, Juncheng; Winter, Matthias; Yang, Wen; Stable spike clusters for the precursor Gierer-Meinhardt system in R^2. Calc. Var. Partial Differential Equations 56 (2017), no. 5, Paper No. 142, 40 pp.
  58. 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.
  59. Jevnikar, Aleks; Yang, Wen; Analytic aspects of the Tzitzéica equation: blow-up analysis and existence results. Calc. Var. Partial Differential Equations 56 (2017), no. 2, Paper No. 43, 38 pp.
  60. Guo, Zongming; Wei, Juncheng; Yang, Wen; On nonradial singular solutions of supercritical biharmonic equations. Pacific J. Math. 284 (2016), no. 2, 395–430.
  61. Kolokolnikov, Theodore; Wei, Juncheng; Yang, Wen; On large ring solutions for Gierer-Meinhardt system in R^3. J. Differential Equations 255 (2013), no. 7, 1408–1436.
  62. Wei, Juncheng; Xu, Xingwang; Yang, Wen; On the classification of stable solutions to biharmonic problems in large dimensions. Pacific J. Math. 263 (2013), no. 2, 495–512. .

Teaching

2024-2025 Topics in Applied Mathematics

2023-2024 Differential Geometry and its application 

Graduate students

Current PhD students:

Gao Min (starting from 2024)

Graduated PhD students:

Zhang Jiaojiao (2020-2023)

Contact Details

Faculty of Science and Technology
University of Macau, E11
Avenida da Universidade, Taipa, Macau, China

Office: E11-3069
Telephone: (853) 8822-8546
Fax: (853) 8822-2426
Email: wenyang@um.edu.mo