学术论文: |
[1] Duan, Ben; Zhang, Na Non-uniqueness of transonic shock solutions to non-isentropic Euler-Poisson system. Commun. Math. Sci. 19 (2021), no. 4, 903–917. [2] Bae, Myoungjean; Duan, Ben; Xiao, Jingjing; Xie, Chunjing Structural stability of supersonic solutions to the Euler-Poisson system. Arch. Ration. Mech. Anal. 239 (2021), no. 2, 679–731. [3] Duan, Ben; Xing, Yuanyuan The well-posedness of shock solutions to non-isentropic Euler-Poisson system with varying background charges. Z. Angew. Math. Phys. 71 (2020), no. 5, Paper No. 175, 12 pp. [4] Duan, Ben; Zhou, Yan Non-isentropic multi-transonic solutions of Euler-Poisson system. J. Differential Equations 268 (2020), no. 11, 7029–7046. [5] Duan, Ben; Luo, Zhen; Zhou, Yan Existence of strong solutions to the rotating shallow water equations with degenerate viscosities. Anal. Appl. (Singap.) 18 (2020), no. 2, 333–358. [6] Duan, Ben; Luo, Zhen; Yan, Wei Finite-time blow-up of classical solutions to the rotating shallow water system with degenerate viscosity. Z. Angew. Math. Phys. 70 (2019), no. 2, Paper No. 54, 9 pp. [7] Duan, Ben; Weng, Shangkun Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle. Z. Angew. Math. Phys. 69 (2018), no. 5, Paper No. 135, 17 pp. [8] Che, Jiahang; Chen, Li; Duan, Ben; Luo, Zhen On the existence of local strong solutions to chemotaxis–shallow water system with large data and vacuum. J. Differential Equations 261 (2016), no. 12, 6758–6789. [9] Du, Lili; Duan, Ben Subsonic Euler flows with large vorticity through an infinitely long axisymmetric nozzle. J. Math. Fluid Mech. 18 (2016), no. 3, 511–530. [10] Duan, Ben; Luo, Zhen; Xiao, Jingjing Transonic shock solutions to the Euler-Poisson system in quasi-one-dimensional nozzles. Commun. Math. Sci. 14 (2016), no. 4, 1023–1047. [11] Bae, Myoungjean; Duan, Ben; Xie, Chunjing Subsonic flow for the multidimensional Euler-Poisson system. Arch. Ration. Mech. Anal. 220 (2016), no. 1, 155–191. [12] Bae, Myoungjean; Duan, Ben; Xie, Chunjing Two-dimensional subsonic flows with self-gravitation in bounded domain. Math. Models Methods Appl. Sci. 25 (2015), no. 14, 2721–2747. [13] Duan, Ben; Luo, Zhen Subsonic non-isentropic Euler flows with large vorticity in axisymmetric nozzles. J. Math. Anal. Appl. 430 (2015), no. 2, 1037–1057. [14] Bae, Myoungjean; Duan, Ben; Xie, Chunjing Subsonic solutions for steady Euler-Poisson system in two-dimensional nozzles. SIAM J. Math. Anal. 46 (2014), no. 5, 3455–3480. [15] Duan, Ben; Luo, Zhen Dynamics of vacuum states for one-dimensional full compressible Navier-Stokes equations. Commun. Pure Appl. Anal. 12 (2013), no. 6, 2543–2564. [16] Duan, Ben; Luo, Zhen Three-dimensional full Euler flows in axisymmetric nozzles. J. Differential Equations 254 (2013), no. 7, 2705–2731. [17] Duan, Ben; Luo, Zhen; Zheng, Yuxi Local existence of classical solutions to shallow water equations with Cauchy data containing vacuum. SIAM J. Math. Anal. 44 (2012), no. 2, 541–567. [18] Du, Lili; Duan, Ben Note on the uniqueness of subsonic Euler flows in an axisymmetric nozzle. Appl. Math. Lett. 25 (2012), no. 2, 153–156. [19] Duan, Ben; Weng, Shangkun Transonic shock in finitely long nozzle with porous medium boundary condition. J. Differential Equations 251 (2011), no. 4-5, 1128–1156. [20] Du, Lili; Duan, Ben Global subsonic Euler flows in an infinitely long axisymmetric nozzle. J. Differential Equations 250 (2011), no. 2, 813–847. |