个人简介

教育经历 [1] 2007.9-2010.8 香港中文大学 | 应用数学 | 博士 [2] 2005.8-2007.8 香港中文大学 | 应用数学 | 硕士 [3] 2001.9-2005.7 吉林大学 | 数学与应用数学 | 学士 [4] 1998.9-2001.7 北京大学附属中学 | 无 工作经历 [1] 2019.12-至今 大连理工大学数学科学学院 | 教授 [2] 2015.1-2016.1 曼海姆大学（德国） | 访问学者 [3] 2014.7-2019.12 大连理工大学数学科学学院 | 副教授 [4] 2011.10-2014.7 浦项科技大学（韩国） | 助理教授 [5] 2010.9-2011.9 Yeshiva大学（美国） | 博士后 科研项目 可压缩流体方程组的若干数学理论研究, 国家自然科学基金项目, 2016/08/19, 进行 管道中欧拉-泊松流体的适定性问题, 国家自然科学基金项目, 2015/08/18, 完成 行为金融学与流体力学的交叉研究, 自选课题, 2017/05/23-2021/04/01, 进行 欧拉-泊松方程组跨音速课题的若干数学问题, 国家自然科学基金项目, 2018/08/16, 进行 等离子流体适定性问题的研究, 省、市、自治区科技项目, 2018/01/01, 进行

研究领域

[1] 偏微分方程 [2] 双曲守恒律方程组 [3] 流体动力学方程组 [4] Euler/Euler-Poisson 方程组 [5] 管道流体问题和激波问题

(1) Partial Differential Equations (2) Conservation Laws (3) Fluid mechanics/Gas dynamics (4) Euler/Euler-Poisson system (5) Navier-Stokes equations and related models (6) Nozzle flows (7) Shocks and blast wave equation

近期论文

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Duan, Ben,Luo, Zhen,Zhou, Yan.Existence of strong solutions to the rotating shallow water equations with degenerate viscosities[J],ANALYSIS AND APPLICATIONS,2020,18(2):333-358 Duan, Ben,Weng, Shangkun.Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle[J],ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2018,69(5) 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],JOURNAL OF DIFFERENTIAL EQUATIONS,2016,261(12):6758-6789 Du, Lili,Duan, Ben.Subsonic Euler Flows with Large Vorticity Through an Infinitely Long Axisymmetric Nozzle[J],JOURNAL OF MATHEMATICAL FLUID MECHANICS,2016,18(3):511-530 Bae, Myoungjean,Duan, Ben,Xie, Chunjing.Subsonic Flow for the Multidimensional Euler-Poisson System[J],ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2016,220(1):155-191 Duan, Ben,Luo, Zhen,Xiao, Jingjing.TRANSONIC SHOCK SOLUTIONS TO THE EULER-POISSON SYSTEM IN QUASI-ONE-DIMENSIONAL NOZZLES[J],COMMUNICATIONS IN MATHEMATICAL SCIENCES,2016,14(4):1023-1047 Bae, Myoungjean,Duan, Ben,Xie, Chunjing.Two-dimensional subsonic flows with self-gravitation in bounded domain[J],MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2015,25(14):2721-2747 Duan, Ben,Luo, Zhen.Subsonic non-isentropic Euler flows with large vorticity in axisymmetric nozzles[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2015,430(2):1037-1057 Bae, Myoungjean,Duan, Ben,Xie, Chunjing.SUBSONIC SOLUTIONS FOR STEADY EULER-POISSON SYSTEM IN TWO-DIMENSIONAL NOZZLES[J],SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2014,46(5):3455-3480 段犇,Luo, Zhen.Dynamics of vacuum states for one-dimensional full compressible navier-stokes equations[J],Communications on Pure and Applied Analysis,2013,12(6):2543-2564 段犇,Zhen Luo.Three-dimensional full Euler flows in axisymmetric nozzles[J],Journal of Differential Equations,2013,254(7):2705-2731 Du, Lili,段犇.Note on the uniqueness of subsonic Euler flows in an axisymmetric nozzle[J],APPLIED MATHEMATICS LETTERS,2012,25(2):153-156 段犇,Luo, Zhen,Zheng, Yuxi.Local existence of classical solutions to shallow water equations with cauchy data containing vacuum[J],SIAM Journal on Mathematical Analysis,2012,44(2):541-567 Du, Lili,段犇.Global subsonic Euler flows in an infinitely long axisymmetric nozzle[J],JOURNAL OF DIFFERENTIAL EQUATIONS,2011,250(2):813-847 段犇,Weng, Shangkun.Transonic shock in finitely long nozzle with porous medium boundary condition[J],Journal of Differential Equations,2011,251(4-5):1128-1156