段金橋

段金橋，男，湖北省武漢人，華中科技大學長江學者講座教授，博士生導師。美國伊利諾理工學院(Illinois Institute of Technology)套用數學系教授， 隨機動力系統與非線性動力系統實驗室主任。

基本介紹

• 中文名：段金橋
• 職業：博士生導師
• 籍貫：湖北省武漢
• 性別：男

人物經歷

學習經歷

1983年武漢大學數學系，獲理學學士。

1988年中國科學院，獲理學碩士。

1993年美國康奈爾大學(Cornell University)，獲套用數學博士學位。

工作經歷

1993-1995：美國加州理工學院，Instructor。

1995-1999：美國克萊孟森大學數學系, 副教授/助教授。

2000-2002；美國伊利諾理工學院套用數學系, 副教授。

2003-目前：美國伊利諾理工學院套用數學系, 教授； 隨機動力系統與非線性動力系統實驗主任。

研究方向

隨機動力系統。

隨機偏微分方程。

隨機分析。

非線性與非自治動力系統。

跨學科套用數學: 數學模型的建立, 分析, 數值摸擬與預報。

主要貢獻

學術服務

1．現任國際雜誌 Stochastics and Dynamics (“隨機系統與動力系統”) 管理編輯 (World Scientific Publishing Company)。

2．現任國際叢書Interdisciplinary Mathematical Sciences (“跨學科套用數學叢書”)主編 (World Scientific Publishing Company)。

代表性論文

E. Waymire and J. Duan (Eds.), Probability and Partial Differential Equations in Modern Applied Mathematics. Springer-Verlag, 2005。

W. Wang and J. Duan, Homogenized dynamics of stochastic partial differential equations with dynamical boundary conditions (PDF). Comm. Math. Phys. 275 (2007), 163-186。

D. Yang and J. Duan, An impact of stochastic dynamic boundary conditions on the evolution of the Cahn-Hilliard system (PDF). Stochastic Analysis and Applications 25 (2007), 613-639。

W. Wang, D. Cao and J. Duan, Effective macroscopic dynamics of stochastic partial differential equations in perforated domains (PDF). SIAM J. Math. Anal. 38 (2007), 1508-1527。

J. Duan, K. Lu and B. Schmalfuss, Invariant manifolds for stochastic partial differential equations (PDF). Annals of Probability 31(2003), 2109-2135。

J. Duan, K. Lu and B. Schmalfuss, Stable and unstable manifolds for stochastic partial differential equations (PDF). J. Dynamics and Diff. Eqns 2004, Vol. 16, No. 4, 949-972。

C. Gugg and J. Duan, A Markov jump process approximation of the stochastic Burgers equation (PDF). Stochastics and Dynamics 4(2004), No. 2, 245-264。

I. Chueshov, J. Duan and B. Schmalfuss, Determining functionals for random partial differential equations (application to stochastic Navier-Stokes equations) (PDF). Nonlinear Diff. Eqns. Appl. (NoDEA) 10(2003), 431-454。

Fractional Fokker--Planck Equation for Nonlinear Stochastic Differential Equations Driven by Non-Gaussian Levy Stable Noises (PDF), with D. Schertzer, M. Larcheveque, V.V.Yanovsky and S. Lovejoy, J. Math. Phys., 42(2001), 200-212。

J. Duan and V. J. Ervin, On the Stochastic Kuramoto-Sivashinsky Equation, Nonlinear Analysis, 44(2001), 205-216。

J. Duan and B. Nadiga. Stochastic parameterization for large eddy simulation of geophysical flows (PDF). Proc. Amer. Math. Soc. 135 (2007), 1187-1196。

J. Duan and A. V. Fursikov, Feedback stabilization for Oseen fluid equations: A stochastic approach (PDF). J. Math. Fluid Mech., 7 (2005), 574 - 610。

V. P. Bongolan-Walsh, J. Duan, P. Fischer, T. Ozg?kmen and T. Iliescu. Impact of Boundary Conditions on Entrainment and Transport in Gravity Currents (PDF). Applied Mathematical Modelling, 31 (2007), 1338-1350。

D. Blomker, J. Duan and T. Wanner, Enstrophy Dynamics of Stochastically Forced Large-Scale Geophysical Flows (PDF). J. Math. Phys., 43 (2002), 2616-2626。

J. Duan, P. E. Kloeden and B. Schmalfuss, Exponential Stability of the Quasigeostrophic Equation under Random Perturbations (PDF). Progress in Probability 49(2000), 241-256。

J. Brannan, J. Duan and V. J. Ervin, Escape Probability, Mean Residence Time and Geophysical Fluid Particle Dynamics (PDF), Physica D 133 (1999), 23--33。

J. Duan and S. Wiggins, Lagrangian transport and chaos in the near wake of the flow around an obstacle: a numerical implementation of lobe dynamics (PDF), Processes in Geophysics 4 (1997), 125-136。

Chunyou Sun, Daomin Cao and Jinqiao Duan, Non-autonomous dynamics of wave equations with nonlinear damping and critical nonlinearity (PDF), Nonlinearity 19 (2006), 2645-2665。

Chunyou Sun, Daomin Cao and Jinqiao Duan,Uniform attractors for non-autonomous wave equations with nonlinear damping (PDF), SIAM J. Applied Dynamical Systems, 6 (2007), 293-318.

J. Duan, C. Potzsche and S. Siegmund, Slow integral manifolds for Lagrangian fluid dynamics in unsteady geophysical flows (PDF). Physica D, 233 (2007), 73-82。

D. Cheban and J. Duan, Almost Periodic Motions and Global Attractors of the Nonautonomous Navier-Stokes Equations (PDF). J. Dynamics and Diff. Eqns., 16 (2004), 1--34。

V. P. Bongolan-Walsh, D. Cheban and J. Duan, Recurrent Motions in the Nonautonomous Navier-Stokes System (PDF). Discrete and Continuous Dyn. Sys. B, No.3, 2002, 255-262。

X. Fu, W. Lu, P. Ashwin and J. Duan, Symbolic Representations of Iterated Maps (PDF), Topological Methods in Nonlinear Analysis, 18 (2001), 119-147。

X. Fu, Y. Fu, R. S. MacKay and J. Duan, Chaotic Properties of Subshifts Generated by a Non-periodic Recurrent Orbit, Inter. J. Bifurcation and Chaos, 10(2000), 1067-1073。

G. Lin, H. Gao and V. Ervin, Asymptotic Dynamical Difference between the Nonlocal and Local Swift-Hohenberg Models (PDF), J. Math. Phys. , 41(2000), 2077-2089。

J. Duan and V. Ervin, Dynamics of a nonlocal Kuramoto-Sivashinsky equation (PDF), J. Diff. Eqns., 143(1998), 243-266。

J. Duan, H. Ly and E. S. Titi, The effect of nonlocal interactions on the dynamics of the Ginzburg-Landau equation (PDF), Z. Angew. Math. Phys. 47 (1996), 433-455。

J. Duan and P. Holmes, Fronts, domain walls and pulses for a generalized Ginzburg-Landau equation (PDF). Proc. Edinburgh Math. Soc. 38(1995), 77-97。

獲獎記錄

1．中國科學院海外評審專家（2002--）與中國科學院海外傑出學者基金獲得者（2004-2007）。

2．教育部春暉計畫(海外專家) 講學專項基金獲得者，1999 & 2002。

3．國家自然科學基金委員會資助留學人員短期回國工作講學專項基金獲得者, 1999。

4．歐洲地球物理學會青年科學家論文獎,1999。