词条 | 段金桥 |
释义 | 华中科技大学长江学者教授 1、基本情况. 男,湖北省武汉人,华中科技大学长江学者讲座教授,博士生导师。美国伊利诺理工学院(Illinois Institute of Technology)应用数学系教授, 随机动力系统与非线性动力系统实验室主任。 2、学习经历1983年武汉大学数学系,获理学学士 1988年中国科学院,获理学硕士 1993年美国康奈尔大学 (Cornell University),获应用数学博士学位 3、工作经历1993-1995:美国加州理工学院,Instructor 1995-1999:美国克莱孟森大学数学系, 副教授/助教授 2000-2002;美国伊利诺理工学院应用数学系, 副教授 2003-目前:美国伊利诺理工学院应用数学系, 教授; 随机动力系统与非线性动力系统实验主任 4、研究兴趣随机动力系统 随机偏微分方程 随机分析 非线性与非自治动力系统 跨学科应用数学: 数学模型的建立, 分析, 数值摸拟与预报 5、学术服务1.现任国际杂志 Stochastics and Dynamics (“随机系统与动力系统”) 管理编辑 (World Scientific Publishing Company). 2.现任国际丛书Interdisciplinary Mathematical Sciences (“跨学科应用数学丛书”)主编 (World Scientific Publishing Company). 6、获奖情况1.中国科学院海外评审专家(2002--)与中国科学院海外杰出学者基金获得者(2004-2007)。 2.教育部春晖计划(海外专家) 讲学专项基金获得者,1999 & 2002。 3.国家自然科学基金委员会资助留学人员短期回国工作讲学专项基金获得者, 1999。 4.欧洲地球物理学会青年科学家论文奖,1999。 7、代表性论文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. |
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