大连理工大学数学科学学院导师教师信息介绍简介-段犇

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个人简介

Professor DUAN, Ben
School of Mathematical Sciences
Dalian University of Technology
Dalian, Liaoning 116024, P. R. China
Office: Room1411, Innovation Park Building
E-mail: bduan@dlut.edu.cn
课程主页: 2020微分方程（国际班）

教育经历

工作经历

研究方向

[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

团队成员

科研团队
主要研究Euler方程组及其相关模型的理论及应用

周岩
张娜
邢媛媛
兰傲
刘春燕
赵梦娜

课程主页

当前位置: 中文主页 >> 课程主页

[1]Differential Equations 2020 Spring
[2]Equations of Mathematical Physics 2019 Fall
[3]Calculus for Engineers 2019 Fall
[4]Differential Equations 2019 Spring
[5]2018年夏季学期复变函数
[6]Differential Equations 2018 Spring
[7]双曲守恒律方程(组)
[8]2017秋季学期复变函数
[9]Differential Equations 2017 Spring

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研究及论文

Research Field:
(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
Publications:
Duan, Ben; Luo, Zhen; Yan, Wei, Finite-time blow-up of classical solutions to the rotating shallow water system with degenerate viscosity, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 2019, 70: 54.

Duan, Ben; Weng, Shangkun, Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 2018, 69(5):135, 17pp.

Bae, Myoungjean;Duan, Ben; Xie, Chunjing, Subsonic flow for the multidimensional Euler-Poisson system. Arch. Ration. Mech. Anal.,220(2016), no. 1, 155-191.
Du, Lili; Duan, Ben, Subsonic flows with large vorticity through an infinitely long axisymmetric nozzle, J. Math. Fluid Mech., 18(2016), 511-530.
Duan, Ben; Luo, Zhen; Xiao, Jingjing, Transonic shock solutions to the Euler-Poisson system in quasi-one-dimensional nozzles, Commum. Math. Sci., 14(2016), No. 4, 1023-1047
Che, Jiahang; Chen, Li; Duan, Ben; Luo, Zhen, On the existence of local strong solutions to chemotaxis-shallow water system with large data and vaccum, J. Differential Equations, 261(2016), 6758-6789.
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.

论文成果

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
Duan, Ben.Two-dimensional subsonic flows with self-gravitation in bounded domain[J],MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2015,25(14):2721-2747
Duan, Ben.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

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

研究及论文

当前位置: 中文主页 >> 科学研究 >> 研究及论文

Research Field:
(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
Publications:
Duan, Ben; Luo, Zhen; Yan, Wei, Finite-time blow-up of classical solutions to the rotating shallow water system with degenerate viscosity, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 2019, 70: 54.

Duan, Ben; Weng, Shangkun, Global smooth axisymmetric subsonic flows with nonzero swirl in an infinitely long axisymmetric nozzle, Zeitschrift für Angewandte Mathematik und Physik (ZAMP), 2018, 69(5):135, 17pp.

Bae, Myoungjean;Duan, Ben; Xie, Chunjing, Subsonic flow for the multidimensional Euler-Poisson system. Arch. Ration. Mech. Anal.,220(2016), no. 1, 155-191.
Du, Lili; Duan, Ben, Subsonic flows with large vorticity through an infinitely long axisymmetric nozzle, J. Math. Fluid Mech., 18(2016), 511-530.
Duan, Ben; Luo, Zhen; Xiao, Jingjing, Transonic shock solutions to the Euler-Poisson system in quasi-one-dimensional nozzles, Commum. Math. Sci., 14(2016), No. 4, 1023-1047
Che, Jiahang; Chen, Li; Duan, Ben; Luo, Zhen, On the existence of local strong solutions to chemotaxis-shallow water system with large data and vaccum, J. Differential Equations, 261(2016), 6758-6789.
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.

论文成果

当前位置: 中文主页 >> 科学研究 >> 论文成果

[1] 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)
[2] 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
[3] 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
[4] 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
[5] 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
[6] Duan, Ben.Two-dimensional subsonic flows with self-gravitation in bounded domain[J],MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES,2015,25(14):2721-2747
[7] Duan, Ben.Subsonic non-isentropic Euler flows with large vorticity in axisymmetric nozzles[J],JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2015,430(2):1037-1057
[8] 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
[9] 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
[10] 段犇,Zhen Luo.Three-dimensional full Euler flows in axisymmetric nozzles[J],Journal of Differential Equations,2013,254(7):2705-2731
[11] 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
[12] 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
[13] Du, Lili,段犇.Global subsonic Euler flows in an infinitely long axisymmetric nozzle[J],JOURNAL OF DIFFERENTIAL EQUATIONS,2011,250(2):813-847
[14] 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

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科研项目

当前位置: 中文主页 >> 科学研究 >> 科研项目

[1]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, 2016-08-19, 进行
[2]管道中欧拉-泊松流体的适定性问题, 国家自然科学基金, 2015-08-18, 完成
[3]行为金融学与流体力学的交叉研究, 2017-05-23-2021-04-01, 进行
[4]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, 2018-08-16, 进行
[5]等离子流体适定性问题的研究, 大连市青年科技之星项目, 2018-01-01, 进行

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授课信息

微分方程(国际班)
微分方程(国际班)
数理方程（全英文授课）
单变量微积分
数理方程（全英文授课）
单变量微积分
数理方程（全英文授课）
微分方程(国际班)
双曲守恒律方程(组)（全英文授课）
双曲守恒律方程(组)（全英文授课）
复变函数
微分方程(国际班)
复变函数
双曲守恒律方程(组)（全英文授课）

授课信息

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本科生课程

课程名称学年学期学时学分课程号微分方程(国际班) 2019-2020 春学期 64 4 ** 微分方程(国际班) 2019-2020 春学期 64 4 ** 数理方程（全英文授课） 2019-2020 秋学期 - 3 ** 单变量微积分 2019-2020 秋学期 40 2.5 ** 数理方程（全英文授课） 2019-2020 秋学期 - 3 ** 单变量微积分 2019-2020 秋学期 40 2.5 ** 微分方程(国际班) 2018-2019 春学期 64 4 ** 复变函数 2017-2018 夏学期 32 2 ** 微分方程(国际班) 2017-2018 春学期 64 4 ** 复变函数 2017-2018 秋学期 32 2 **

研究生课程

课程名称学年学期学时学分课程号数理方程（全英文授课） 2019-2020 秋学期 48 3 ** 双曲守恒律方程(组)（全英文授课） 2018-2019 秋学期 48 3 ** 双曲守恒律方程(组)（全英文授课） 2018-2019 秋学期 48 3 ** 双曲守恒律方程(组)（全英文授课） 2017-2018 秋学期 48 3 **

招生信息

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硕士研究生

序号学院专业年份 1 数学科学学院金融数学与保险精算 2020 2 数学科学学院概率论与数理统计 2020 3 数学科学学院应用统计 2020 4 数学科学学院应用数学 2020 5 数学科学学院应用数学 2019

博士研究生

序号学院专业博士研究方向年份 1 （主校区）数学科学学院应用数学偏微分方程 2020

学生信息

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硕士

在校(5人)

赵梦娜刘春燕兰傲张娜邢媛媛

毕业(1人)

周岩

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学术荣誉

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其他奖励

辽宁省自然科学学术成果奖
2016年度考核优秀奖
2018年度考核优秀奖
辽宁省自然科学学术成果奖
数学科学学院第六届青年教师讲课竞赛