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