王国栋

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

电子邮箱:gdw@dlut.edu.cn

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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.