[1] L. Du and B. Duan. Global subsonic Euler flows in an infinitely long axisymmetric nozzle. J. Differential Equations 250 (2011), no. 2, 813–847.
[2] B. Duan and S. Weng. Transonic shock in finitely long nozzle with porous medium boundary condition. J. Differential Equations 251 (2011), no. 4-5, 1128–1156.
[3] B. Duan, Z. Luo and Y. Zheng. Local existence of classical solutions to shallow water equations with Cauchy data containing vacuum. SIAM J. Math. Anal. 44 (2012), no. 2, 541–567.
[4] B. Duan and Z. Luo. Three-dimensional full Euler flows in axisymmetric nozzles. J. Differential Equations 254 (2013), no. 7, 2705–2731.
[5] M. Bae, B. Duan and C. Xie. Subsonic solutions for steady Euler-Poisson system in two-dimensional nozzles. SIAM J. Math. Anal. 46 (2014), no. 5, 3455–3480.
[6] M. Bae, B. Duan and C. Xie. Two-dimensional subsonic flows with self-gravitation in bounded domain. Math. Models Methods Appl. Sci. 25 (2015), no. 14, 2721–2747.
[7] M. Bae, B. Duan and C. Xie. Subsonic flow for the multidimensional Euler-Poisson system. Arch. Ration. Mech. Anal. 220 (2016), no. 1, 155–191.
[8] J. Che, L. Chen, B. Duan and Z. Luo. 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] B. Duan and Y. Zhou. Non-isentropic multi-transonic solutions of Euler-Poisson system. J. Differential Equations 268 (2020), no. 11, 7029–7046.
[10] B. Duan and Y. Xing. 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.
[11] M. Bae, B. Duan, J. Xiao and C. Xie. Structural stability of supersonic solutions to the Euler-Poisson system. Arch. Ration. Mech. Anal. 239 (2021), no. 2, 679–731.
[12] B. Duan and N. Zhang. Non-uniqueness of transonic shock solutions to non-isentropic Euler-Poisson system. Commun. Math. Sci. 19 (2021), no. 4, 903–917.
[13] B. Duan, C. Wang and Y. Xing. Supersonic Euler-Poisson flows in divergent nozzles. J. Differential Equations 371 (2023), 598–628.
[14] B. Duan, Z. Luo and Y. Xing. Radial transonic shock solutions to Euler-Poisson system with varying background charge in an annulus. CSIAM Trans. Appl. Math.4 (2023), no.1, 129–156.
[15] B. Duan, Y. Li, D. Lu, Y. Lu and R. Zhang. Pricing stocks with trading volumes. CSIAM Trans. Appl. Math.5 (2024), no.1, 1–17.
[16] B. Duan, Y. Xing and H. Zheng. Non-uniqueness of transonic shock solutions to Euler-Poisson system with varying background charges. Commun. Math. Sci.22 (2024), no.3, 777–788.
[17] B. Duan, Y. Xing, and Y. Zhou. Sonic-supersonic-shock-subsonic-sonic solution to Euler-Poisson system with varying background charges. Appl. Math. Lett.149 (2024), Paper No. 108902, 6 pp.
[18] B. Duan, Z. Luo and C. Wang. Structural stability of non-isentropic Euler-Poisson system for gaseous stars. J. Differential Equations 417 (2025), 105–131.
