段犇
院系：数学科学学院
办公电话：**-8135
电子信箱：bduan@dlut.edu.cn
更新时间：2016-3-29
其他专业：应用数学



个人简介
工作简历

Dalian University of Technology. P.R. China
Associate Professor, School of Mathematical Sciences, 2014.07 - present.

University of Mannheim. Germany
Visiting Scholar, School of Business Informatics and Mathematics. 2015.01 - 2016.01.

Pohang University of Science and Technology. Republic of Korea
Assistant Professor, Pohang Mathematics Institute, 2011.10 - 2014.07.

Yeshiva University. USA
Research Fellow, Department of Mathematical Sciences, 2010.09 - 2011.09.


教育简历

The Chinese University of Hong Kong, Hong Kong, P. R. China
Ph.D., The Institute of Mathematical Sciences, 2007-2010.

The Chinese University of Hong Kong, Hong Kong, P. R. China
M.Phil., The Institute of Mathematical Sciences, 2005-2007.

Jilin University, Jilin, P. R. China
B.Sc., School of Mathematical Sciences, 2001-2005.

The affiliated high school of Peking university, Beijing, P. R. China
High School, 1998-2001.

个人主页： bduan.sinaapp.com
课程主页：DE2016.applinzi.com



研究领域（研究课题）
(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

出版著作和论文
代表论文

Bae, Myoungjean; Duan, Ben; Xie, Chunjing, Subsonic Flow for the Multidimensional Euler-Poisson System. Arch. Ration. Mech. Anal. 220 (2016), no. 1, 155-191.

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.

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.

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.

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.

Duan, Ben; Luo, Zhen, Three-dimensional full Euler flows in axisymmetric nozzles. J. Differential Equations 254 (2013), no. 7, 2705-2731.

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.

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.

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.

Du, Lili; Duan, Ben, Global subsonic Euler flows in an infinitely long axisymmetric nozzle. J. Differential Equations 250 (2011), no. 2, 813-847.