姓名 徐赛国

博士、未定职

偏微分方程

1.本科生：《偏微分方程》

2.研究生:《Sobolev空间》

1.国家自然科学基金

(1) NO.12501306、具有真空的三维可压缩Navier-Stokes方程的爆破准则与一类大解的全局存在性、2026/01-2018/12、30万元、主持.

[1]  Xu, Saiguo*; Tan, Zhong. Hölder continuous solutions of Boussinesq equations with Onsager-critical spatial regularity. Calc. Var. Partial Differential Equations 64 (2025), no. 1, Paper No. 7, 44 pp. (SCI)

[2]  Tan, Zhong; Xu, Saiguo*. The Rayleigh-Taylor instability of incompressible Euler equations in a horizontal slab domain. J. Differential Equations 319 (2022), 100–130. (SCI)

[3]  Li, Xinliang; Tan, Zhong; Xu, Saiguo. Global existence and decay estimates of solutions to the MHD-Boussinesq system with stratification effects. Nonlinearity 35 (2022), no. 12, 6067–6097. (SCI)

[4]  Xu, Saiguo; Zhang, Yinghui. A new blowup criterion for the 3D viscous liquid–gas two-phase flow model with vacuum. J. Evol.Equ. 25 (2025), no. 2, Paper No. 37. (SCI)

[5]  Tan, Zhong; Xu, Saiguo*. Rayleigh-Taylor instability of 3D inhomogeneous incompressible Euler equations with damping in a horizontal slab. Nonlinear Anal. Real World Appl. 76 (2024), Paper No. 104013, 21 pp. (SCI)

[6]  Tan, Zhong; Xu, Saiguo*. Global regularity for 2D Boussinesq equations with partial viscosity in the half plane. Math. Methods Appl. Sci. 46 (2023), no. 6, 6484–6505.(SCI)

[7]  Xu, Saiguo; Tan, Zhong. The stability of Boussinesq equations with partial dissipation around the hydrostatic balance. Acta Math. Sci. Ser. B (Engl. Ed.) 44 (2024), no. 4, 1466–1486. (SCI)