|
个人信息Personal Information
副教授
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
电子邮箱：gdw@dlut.edu.cn
-
Guodong Wang, Stability of two-dimensional steady Euler flows with concentrated vorticity. Math. Ann., 2024, https://doi.org/10.1007/s00208-023-02641-7.
Guodong Wang, On concentrated traveling vortex pairs with prescribed impulse, Trans. Amer. Math. Soc., 377 (2024), 2635-2661.
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.
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, 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, Jie Wan, Guodong Wang, Weicheng Zhan, Rotating vortex patches for the planar Euler equations in a disk. J. Differential Equations 275 (2021), 509–532.
Guodong Wang, On 2D steady Euler flows with small vorticity near the boundary. J. Differential Equations 270 (2021), 24–46.
Daomin Cao, Guodong Wang, Bijun Zuo, Existence of steady symmetric vortex patch in a disk. J. Math. Fluid Mech. 23 (2021), no. 1, Paper No. 20
Daomin Cao, Guodong Wang, Existence of steady multiple vortex patches to the vortex-wave system. Pacific J. Math. 308 (2020), no. 2, 257–279.
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, A note on steady vortex flows in two dimensions. Proc. Amer. Math. Soc. 148 (2020), no. 3, 1153–1159.
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, Jie Wan, Guodong Wang, Nonlinear orbital stability for planar vortex patches. Proc. Amer. Math. Soc. 147 (2019), no. 2, 775–784.
-
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.
Guodong Wang, Asymptotic estimates for concentrated vortex pairs, arXiv:2203:11800.
-
国家自然科学基金, 青年基金, 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(站中), 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