段犇 照片

段犇

教授 博士生导师 硕士生导师

所属大学: 大连理工大学

所属学院: 数学科学学院

邮箱:
bduan@dlut.edu.cn

个人主页:
http://faculty.dlut.edu.cn/bduan/zh_CN/index.htm

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

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