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, 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, 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, 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.

Guodong Wang, On 2D steady Euler flows with small vorticity near the boundary. J. Differential Equations, 270 (2021), 24–46.

Daomin Cao, Guodong Wang, Nonlinear stability of planar vortex patches in an ideal fluid. J. Math. Fluid Mech., 23 (2021),  Paper No. 58.

Daomin Cao, Guodong Wang,  Weicheng Zhan, Steady vortex patches near a nontrivial irrotational flow. Sci. China Math., 64 (2021), no. 5, 947–962.

Daomin Cao, Guodong Wang,  Weicheng Zhan, Desingularization of vortices for two-dimensional steady Euler flows via the vorticity method. SIAM J. Math. Anal., 52 (2020), no. 6, 5363–5388.

Daomin Cao, Guodong Wang,  Steady vortex patch solutions to the vortex-wave system. Nonlinearity, 32 (2019), no. 5, 1882–1904.

Daomin Cao, Guodong Wang,  Steady vortex patches with opposite rotation directions in a planar ideal fluid. Calc. Var. Partial Differential Equations, 58 (2019), no. 2, Paper No. 75.

Daomin Cao, Shuanglong Li, Guodong Wang, Desingularization of vortices for the incompressible Euler equation on a sphere, arXiv:2411.07645.

Guodong Wang, Stability of a class of exact solutions of the incompressible Euler equation in a disk, arXiv:2408.15598.

Daomin Cao, Guodong Wang, On Arnold-type stability theorems for the Euler equation on a sphere, arXiv:2407.06752.

Daomin Cao, Guodong Wang, Bijun Zuo, Stability of degree-2 Rossby-Haurwitz waves, arXiv:2305.03279.

Guodong Wang, Bijun Zuo, An extension of Arnold’s second stability theorem in a multiply-connected domain, arXiv:2208.10697.

1. 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

2. 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

3. 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

4. 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