Duan, Ben; Zhang, Na Non-uniqueness of transonic shock solutions to non-isentropic Euler-Poisson system. (English) Zbl 1479.35008 Commun. Math. Sci. 19, No. 4, 903-917 (2021). MSC: 35A02 35L67 35Q31 35Q35 PDF BibTeX XML Cite \textit{B. Duan} and \textit{N. Zhang}, Commun. Math. Sci. 19, No. 4, 903--917 (2021; Zbl 1479.35008) Full Text: DOI OpenURL
Bae, Myoungjean; Duan, Ben; Xiao, Jingjing; Xie, Chunjing Structural stability of supersonic solutions to the Euler-Poisson system. (English) Zbl 1456.35136 Arch. Ration. Mech. Anal. 239, No. 2, 679-731 (2021). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 76W05 35Q35 35L04 35B35 35Q31 PDF BibTeX XML Cite \textit{M. Bae} et al., Arch. Ration. Mech. Anal. 239, No. 2, 679--731 (2021; Zbl 1456.35136) Full Text: DOI arXiv OpenURL
Duan, Ben; Xing, Yuanyuan The well-posedness of shock solutions to non-isentropic Euler-Poisson system with varying background charges. (English) Zbl 1467.35249 Z. Angew. Math. Phys. 71, No. 5, Paper No. 175, 11 p. (2020). MSC: 35Q31 35Q60 35Q81 35B35 35L67 35J05 76H05 76L05 78A30 35A01 35A02 PDF BibTeX XML Cite \textit{B. Duan} and \textit{Y. Xing}, Z. Angew. Math. Phys. 71, No. 5, Paper No. 175, 11 p. (2020; Zbl 1467.35249) Full Text: DOI OpenURL
Duan, Ben; Zhou, Yan Non-isentropic multi-transonic solutions of Euler-Poisson system. (English) Zbl 1437.35480 J. Differ. Equations 268, No. 11, 7029-7046 (2020). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L65 35L67 35R35 35Q31 76H05 PDF BibTeX XML Cite \textit{B. Duan} and \textit{Y. Zhou}, J. Differ. Equations 268, No. 11, 7029--7046 (2020; Zbl 1437.35480) Full Text: DOI OpenURL
Duan, Ben; Weng, Shangkun Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle. (English) Zbl 1404.35337 Z. Angew. Math. Phys. 69, No. 5, Paper No. 135, 17 p. (2018). MSC: 35Q31 35M10 35J57 76N15 35B65 35B40 76G25 PDF BibTeX XML Cite \textit{B. Duan} and \textit{S. Weng}, Z. Angew. Math. Phys. 69, No. 5, Paper No. 135, 17 p. (2018; Zbl 1404.35337) Full Text: DOI OpenURL
Du, Lili; Duan, Ben Subsonic Euler flows with large vorticity through an infinitely long axisymmetric nozzle. (English) Zbl 1381.35126 J. Math. Fluid Mech. 18, No. 3, 511-530 (2016). MSC: 35Q31 35B30 35L60 76B03 PDF BibTeX XML Cite \textit{L. Du} and \textit{B. Duan}, J. Math. Fluid Mech. 18, No. 3, 511--530 (2016; Zbl 1381.35126) Full Text: DOI OpenURL
Duan, Ben; Luo, Zhen; Xiao, Jingjing Transonic shock solutions to the Euler-Poisson system in quasi-one-dimensional nozzles. (English) Zbl 1350.35120 Commun. Math. Sci. 14, No. 4, 1023-1047 (2016). Reviewer: Ilya A. Chernov (Petrozavodsk) MSC: 35L67 35L65 35B35 76H05 35Q31 PDF BibTeX XML Cite \textit{B. Duan} et al., Commun. Math. Sci. 14, No. 4, 1023--1047 (2016; Zbl 1350.35120) Full Text: DOI OpenURL
Bae, Myoungjean; Duan, Ben; Xie, Chunjing Subsonic flow for the multidimensional Euler-Poisson system. (English) Zbl 1339.35222 Arch. Ration. Mech. Anal. 220, No. 1, 155-191 (2016). Reviewer: Piotr Biler (Wrocław) MSC: 35Q31 76G25 35B35 PDF BibTeX XML Cite \textit{M. Bae} et al., Arch. Ration. Mech. Anal. 220, No. 1, 155--191 (2016; Zbl 1339.35222) Full Text: DOI arXiv OpenURL
Bae, Myoungjean; Duan, Ben; Xie, Chunjing Two-dimensional subsonic flows with self-gravitation in bounded domain. (English) Zbl 1329.35235 Math. Models Methods Appl. Sci. 25, No. 14, 2721-2747 (2015). MSC: 35Q31 35J47 35J57 35J66 35M10 76N10 35Q35 35B35 35B65 76G25 PDF BibTeX XML Cite \textit{M. Bae} et al., Math. Models Methods Appl. Sci. 25, No. 14, 2721--2747 (2015; Zbl 1329.35235) Full Text: DOI arXiv OpenURL
Duan, Ben; Luo, Zhen Subsonic non-isentropic Euler flows with large vorticity in axisymmetric nozzles. (English) Zbl 1319.35172 J. Math. Anal. Appl. 430, No. 2, 1037-1057 (2015). MSC: 35Q31 76G25 76N10 35B65 35A01 35A02 PDF BibTeX XML Cite \textit{B. Duan} and \textit{Z. Luo}, J. Math. Anal. Appl. 430, No. 2, 1037--1057 (2015; Zbl 1319.35172) Full Text: DOI OpenURL
Bae, Myoungjean; Duan, Ben; Xie, Chunjing Subsonic solutions for steady Euler-Poisson system in two-dimensional nozzles. (English) Zbl 1316.35221 SIAM J. Math. Anal. 46, No. 5, 3455-3480 (2014). Reviewer: Anthony D. Osborne (Keele) MSC: 35Q05 35J57 35J66 35M10 76N10 76G25 PDF BibTeX XML Cite \textit{M. Bae} et al., SIAM J. Math. Anal. 46, No. 5, 3455--3480 (2014; Zbl 1316.35221) Full Text: DOI arXiv OpenURL
Duan, Ben; Luo, Zhen Three-dimensional full Euler flows in axisymmetric nozzles. (English) Zbl 1308.76230 J. Differ. Equations 254, No. 7, 2705-2731 (2013). MSC: 76N10 35A01 35A02 35B40 35B65 35Q31 PDF BibTeX XML Cite \textit{B. Duan} and \textit{Z. Luo}, J. Differ. Equations 254, No. 7, 2705--2731 (2013; Zbl 1308.76230) Full Text: DOI OpenURL
Du, Lili; Duan, Ben Note on the uniqueness of subsonic Euler flows in an axisymmetric nozzle. (English) Zbl 1277.76006 Appl. Math. Lett. 25, No. 2, 153-156 (2012). MSC: 76B03 35A01 35A02 35A35 76G99 PDF BibTeX XML Cite \textit{L. Du} and \textit{B. Duan}, Appl. Math. Lett. 25, No. 2, 153--156 (2012; Zbl 1277.76006) Full Text: DOI OpenURL
Duan, Ben; Weng, Shangkun Transonic shock in finitely long nozzle with porous medium boundary condition. (English) Zbl 1222.35140 J. Differ. Equations 251, No. 4-5, 1128-1156 (2011). Reviewer: Bernard Ducomet (Bruyères le Châtel) MSC: 35Q30 76D03 76D05 PDF BibTeX XML Cite \textit{B. Duan} and \textit{S. Weng}, J. Differ. Equations 251, No. 4--5, 1128--1156 (2011; Zbl 1222.35140) Full Text: DOI OpenURL
Du, Lili; Duan, Ben Global subsonic Euler flows in an infinitely long axisymmetric nozzle. (English) Zbl 1207.35244 J. Differ. Equations 250, No. 2, 813-847 (2011). Reviewer: Gelu Paşa (Bucureşti) MSC: 35Q31 35J25 35Q35 76N10 76G25 PDF BibTeX XML Cite \textit{L. Du} and \textit{B. Duan}, J. Differ. Equations 250, No. 2, 813--847 (2011; Zbl 1207.35244) Full Text: DOI OpenURL