- 学院主页
姓名： 段金桥
性别： 男
出生日期：
职位： 教授
电话：
Email： JQduan@hust.edu.cn
个人主页：
基本情况BasicThe Young Scientists’ Publication Award, European Geophysical Society, 1999Sigma Xi Award for Excellence in Research (Senior Faculty Category), IIT, 2011Dean’s Excellence Award for Research, Illinois Institute of Technology, 2005The Young Scientists’ Publication Award, European Geophysical Society, 1999Sigma Xi Award for Excellence in Research (Senior Faculty Category), IIT, 2011Dean’s Excellence Award for Research, Illinois Institute of Technology, 2005
教育背景Educational background武汉大学学士，中国科学院硕士，美国康乃尔大学博士，和美国加州理工学院博士后。
工作经历Work experience
研究方向Research fields随机动力系统与非线性动力系统的理论与应用；随机偏微分方程理论与应用； 随机现象与复杂现象的刻划与诠释；以及数学与其它学科的交叉研究。Applied Mathematics:1. Modeling, Analysis, Computation and Prediction for Complex/Random Phenomena in Engineering and Science (e.g., geosciences and biosciences)2. Stochastic Dynamics & Stochastic Partial Differential Equations3. Nonlinear Dynamics & Partial Differential Equations
科研成果Scientific achievementsSelected Publications? Books, Edited Books & Review Articles:1. An Introduction to Stochastic Dynamics, Cambridge University Press, 2014. (ISBN: **01)2. Effective Dynamics of Stochastic Partial Differential Equations (with Wei Wang), Elsevier, 2014. (ISBN: 978-0-12-800882-9)3. H. Qiao, X. Kan and J. Duan, Escape probability for stochastic dynamical systems with jumps. Springer Proceedings in Mathematics & Statistics, Vol. 34, p.195-216, 2013.4. J. Duan, T. Gao and G. He, Quantifying Missing Mechanisms in the Space of Probability Measures. Interdisciplinary Mathematical Sciences, Volume 13, p.99-110, 2012.5. J. Duan, A. Roberts and W. Wang, Averaging, homogenization and slow manifolds for stochastic partial differential equations. In New Trends in Stochastic Analysis and Related Topics (H. Zhao and A. Truman eds.), World Scientific, p. 89-126, 2012.? Stochastic Dynamics and Stochastic Partial Differential Equations with applications to geophysical systems1. G. Chen, J. Duan and J. Zhang, Slow foliation of a slow-fast stochastic evolutionary system. J. Functional Anal. 267(2014)2663-2697.2. X. Chen, A. J. Roberts and J. Duan, Center manifolds for infinite dimensional random dynamical systems. Submitted to J. of London Math Soc., arXiv:1210.59243. X. Chen, A. J. Roberts and J. Duan, Center manifolds for stochastic evolution equations. Submitted to Proceedings of the Royal Society A, 2012. arXiv:1210.5924 [math.DS]4. G. Chen, J. Duan and J. Zhang, Approximating dynamics of a singularly perturbed stochastic wave equation with a random dynamical boundary condition. SIAM J. Math. Anal. Vol. 45, No. 5, 2013, pp. 2790-2814.5. W. Wang, A. J. Roberts and J. Duan, Large deviations and approximations for slow-fast stochastic reaction-diffusion equations. J. Diff. Eqns. 253 (2012) 3501-3522.6. H. Fu, X. Liu and J. Duan, Slow manifolds for multi-time-scale stochastic evolutionary systems. Comm. Math. Sci., 2013, Vol. 11, No. 1, pp. 141-162.? Modeling, Analysis and Computation of Non-Gaussian Dynamics with applications to tumor growth modeling1. J. Duan and J. Wu, Maximum principles for nonlocal partial differential equations associated with nonlinear systems driven by L′evy noise. Preprint, 2013.2. J. He, J. Duan and H. Gao, Global solutions for a nonlocal Ginzberg-Landau equation and a nonlocal Fokker-Plank equation. Preprint, 2013.3. T. Gao, X. Li and J. Duan, Fokker-Planck Equations for Stochastic Dynamical Systems with Symmetric L′evy Motions. Submitted to SIAM J Sci Computing, 2013. arXiv:1310.76774. T. Gao and J. Duan, Quantifying model uncertainty in non-Gaussian dynamical systems with observations on mean exit time or escape probability. arXiv:1306.00555. T. Gao, J. Duan, X. Li and R. Song, Mean exit time and escape probability for dynamical systems driven by L′evy noise. SIAM J. Sci. Computing Vol. 36, No. 3, pp. A887-A906, 2014.6. X. Sun, J. Duan, X. Li and X. Wang, State estimation under non-Gaussian Levy noise: A modified Kalman filtering method. Proc. Banach Center, in press, arXiv:1303.23957. M. Hao, J. Duan, R. Song and W. Xu, Asymmetric non-Gaussian effects in a tumor growth model with immunization. Applied Mathematical Modelling 38 (2014) 4428-4444.8. M. Hao, T. Gao, J. Duan and W. Xu, Non-Gaussian dynamics of a tumor growth system with immunization. Inverse Problems and Imaging Volume 7, No. 3, 2013, 697-716.9. Y Xu, J Li, J Feng, H Zhang, W Xu and J Duan, L′evy noise-induced stochastic resonance in a bistable system. European Physical Journal B 86 (2013), 1-7.10. S. Xu, J. Duan and G. He, Impact of Gaussian and Non-Gaussian Random Boundary Conditions on a Burgers-Boussinesq System. Physica D, 2012.11. X. Sun and J. Duan, Fokker-Planck equations for nonlinear dynamical systems driven by non-Gaussian L′evy processes. J. Math. Phys. 53, 072701 (2012).? Modeling, Analysis & Computation of Random Phenomena1. J. Ren and J. Duan, A parameter estimation method based on random slow manifolds. Submitted to Phys Rev. E., arXiv:1303.46002. J. Ren, J. Duan and C. K. R. T. Jones, Approximation of Random Slow Manifolds and Settling of Inertial Particles under Uncertainty. Submitted to J. Dyn. Diff. Eqns., arXiv:1212.42163. X. Kan, J. Duan, I. G. Kevrekidis and A. J. Roberts, Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach. SIAM J. Applied. Dyn. Sys., Vol. 12, No. 1, pp. 487-514, 2013.4. X. Sun, J. Duan and X. Li, An alternative expression for stochastic dynamical systems with parametric Poisson white noise. Probabilistic Engineering Mechanics 32 (2013) 1-4.? Multiscale & Computational Modeling of Geophysical Systems:1. J. Duan, P. Fischer, T. Iliescu and T. Ozgokmen, Bridging the Boussinesq and primitive equations through spatio-temporal filtering. Appl. Math. Lett. 23 (2010), 453-456.2. J. Duan, C. P¨otzsche and S. Siegmund, Slow integral manifolds for Lagrangian fluid dynamics in unsteady geophysical flows. Physica D 233(2007), 73-82.? Dynamical Behavior of Partial Differential Equations Models:1. C. Sun, L. Yang and J. Duan, Asymptotic behavior for a semilinear second order evolution equation. Trans. Amer. Math. Soc. Volume 363, Number 11, November 2011, Pages 6085-6109.2. C. Sun, D. Cao and J. Duan, Uniform attractors for non-autonomous wave equations with nonlinear damping, SIAM J. Applied Dynamical Systems 6 (2007), 293-318.? Dynamical Systems:1. X. Chen and J. Duan, State space decomposition for non-autonomous dynamical systems. Proceedings of the Royal Society of Edinburgh: Section A Mathematics October 2011, 141 : pp 957-974.2. D. Li and J. Duan, Structure of the set of bounded solutions for a class of nonautonomous second-order differential equations. J. Differential Equations 246 (2009), no. 5, 1754–1773.3. X. Fu and J. Duan, On global attractors for a class of nonhyperbolic piecewise affine maps. Physica D 237 (2008), 3369-3376.
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