高玥恬照片

高玥恬

  • 职称:
    理学博士
  • 研究领域:
    非线性泛函分析及其在偏微分方程中的应用
  • E-mail:
    sweetgyt@126.com

教育背景

2022年9月–2025年12月,福建师范大学数学与统计学院,应用数学专业,理学博士

工作经历

2026年至今,云南财经大学,统计与数学学院

主讲课程

《数学分析》、《线性代数》

课题项目

1.国家自然科学基金委员会,青年科学基金项目(C类),2027-01-01至2029-12-31,30万元,主持

代表论著

[1] Y. Feng, Y. Gao, B. Guo, F. Han. Existence and exponential decay of solitary wave solutions for the eKdV equation. J. Differential Equations 465 (2026), Paper No. 114239, 41 pp. [2] J. Chen, Y. Gao, F. Han. Stability of constrained solitary waves for the supercritical Kawahara equation. Calc. Var. Partial Differential Equations 64 (2025), no. 7, Paper No. 221, 39 pp. [3] F. Han, Y. Gao, Z. Han. Local minimizers of the mass constrained problem for the mass-supercritical bi-harmonic Schroedinger equation. Nonlinearity 37 (2024), no. 12, Paper No. 125015, 28 pp. [4] Y. Gao, F. Han. Existence of solutions to the Patlak–Keller–Segel–Navier–Stokes system. SIAM J. Math. Anal. 56 (2024), no. 5, 6798–6821. [5] F. Han, Y. Gao. Spectral stability of constrained solitary waves for the generalized singular perturbed KdV equation. J. Geom. Anal. 34 (2024), no. 10, Paper No. 311, 65 pp. [6] F. Han, Y. Gao. Spectral stability of constrained solitary waves for a generalized Ostrovsky equation. Proc. Roy. Soc. Edinburgh Sect. A. Published online 2024:1–32 [7] J. Chen, Y. Gao. Multiple normalized solutions for the non-autonomous p-Laplace equation. Commun. Pure Appl. Anal. 23 (2024), no. 8, 1044–1063. [8] J. Chen, Y. Gao, Fangyu Han. Stability of constrained solitary waves for the Ostrovsky–Vakhnenko model in the coastal zone. Phys. D 459 (2024), Paper No. 134028, 21 pp. [9] Y. Gao, J. Chen. Stability of singular waves for Dullin–Gottwald–Holm equation. Nonlinear Anal.64 (2022), Paper No. 103425, 14 pp.