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个人信息Personal Information
副教授
博士生导师
硕士生导师
性别：男
毕业院校：中国科学院大学
学位：博士
所在单位：数学科学学院
学科：应用数学
办公地点：数学楼503
电子邮箱：
近5年发表论文
Daomin Cao, Guodong Wang, On Arnold-type stability theorems for the Euler equation on a sphere, Adv. Math., to appear.
Fatao Wang, Guodong Wang, Quantitative stability of a class of explicit steady Euler flows in a disk, Bull. Lond. Math. Soc.58(2026), Paper No. e70364.
Guodong Wang, Stability of a class of exact solutions of the incompressible Euler equation in a disk, J. Funct. Anal., 289(2025), Paper No. 110998.
Guodong Wang, Bijun Zuo, An extension of Arnold’s second stability theorem in a multiply-connected domain, Calc. Var. Partial Differential Equations, 64(2025), Paper No. 302.
Daomin Cao, Shuanglong Li, Guodong Wang, Desingularization of vortices for the incompressible Euler equation on a sphere, Calc. Var. Partial Differential Equations, 64(2025), Paper No. 279.
Guodong Wang, Stability of two-dimensional steady Euler flows with concentrated vorticity. Math. Ann., 389(2024), 121–168.
Guodong Wang, On concentrated traveling vortex pairs with prescribed impulse, Trans. Amer. Math. Soc., 377(2024), 2635–2661.
Guodong Wang, Asymptotic estimates for concentrated vortex pairs. J. Differential Equations, 412(2024), 380–407.
Guodong Wang, Bijun Zuo, Nonlinear stability of sinusoidal Euler flows on a flat two-torus. Calc. Var. Partial Differential Equations, 62(2023), Paper No. 207.
Guodong Wang, Stability of 2D steady Euler flows related to least energy solutions of the Lane-Emden equation. J. Differential Equations, 342(2023), 596–621.
Guodong Wang, Nonlinear stability of planar steady Euler flows associated with semistable solutions of elliptic problems. Trans. Amer. Math. Soc., 375(2022), 5071–5095.
Guodong Wang, Bijun Zuo, Global existence of weak solutions to the compressible Navier-Stokes equations with temperature-depending viscosity coefficients. SIAM J. Math. Anal., 54 (2022), 3724–3756.
Daomin Cao, Jie Wan, Guodong Wang, Weicheng Zhan, Asymptotic behaviour of global vortex rings. Nonlinearity, 35(2022), 3680–3705.
预印本
Fatao Wang, Guodong Wang, Xiaoxue Zhu, Quantitative stability of first Laplacian eigenstates for the incompressible Euler equation on a flat 2-torus, arXiv:2606.12973.
Guodong Wang, Orbital stability of first Laplacian eigenstates for the Euler equation on flat 2-tori, arXiv:2509.00750.
Fatao Wang, Guodong Wang, Bijun Zuo, On the positive constant in Arnold's second stability theorem for a bounded domain, arXiv:2505.06807.
Guodong Wang, Nonlinear stability of plane ideal flows in a periodic channel, arXiv:2503.23857.
Daomin Cao, Guodong Wang, Bijun Zuo, Stability of degree-2 Rossby-Haurwitz waves, arXiv:2305.03279.
科研项目
国家自然科学基金, 面上项目, 重排与二维不可压缩Euler方程解的稳定性研究, 2025-2028, 44万元, 主持
国家自然科学基金, 青年项目, 二维不可压Euler方程涡解的演化性质研究, 2021-2023, 24万元, 主持
中国博士后科学基金, 特别资助, 二维有界域内不可压Euler方程涡解的相关研究, 2021-2023, 18万元, 主持
中国博士后科学基金, 面上资助, 关于二维Euler方程定常涡补丁解的相关研究, 2021-2023, 8万元, 主持