Invariant manifolds for stochastic partial differential equations
Jinqiao Duan, Kening Lu, Björn Schmalfuß
The Annals of Probability OATop-listed
Faculty
Research Accomplishments: ************************ Jinqiao Duan works in dynamical systems, especially stochastic dynamical systems and dynamical behaviours of stochastic partial differential equations, stochastic dynamics and data science, and applications in biophysical & geophysical systems. His books include `An Introduction to Stochastic Dynamics' (Cambridge University Press, 2015), and `Effective Dynamics of Stochastic Partial Differential Equations' (with Wei Wang, Elsevier, 2014). Jinqiao Duan's particular contributions include a random invariant manifold framework, effective reduction and approximation of stochastic dynamics, quantifying non-Gaussian stochastic dynamics by nonlocal partial differential equations, a nonlocal Kramers-Moyal formula, non-Gaussian data assimilation, Onsager-Machlup action functionals and the most probable transitions between metastable states for stochastic dynamical systems (especially under non-Gaussian Levy fluctuations). Google Scholar --- https://scholar.google.com.hk/citations?user=KNeIeiAAAAAJ&hl=en Research Gate --- https://www.researchgate.net/profile/Jinqiao-Duan Education: *********** PhD in Applied Mathematics at Cornell University, USA. MS in Mathematics, UMass-Amherst, USA. MS in Mathematical Physics, Chinese Academy of Sciences. BS in Computational Mathematics, Wuhan University, China. Past Employment: **************** Postdoctoral Fellow/Instructor at California Institute of Technology (www.cms.caltech.edu), USA. Associate Director, Institute for Pure and Applied Mathematics (IPAM: www.ipam.ucla.edu), UCLA, Los Angeles, USA. Assistant/Associate Professor at Clemson University, USA. Full Professor & Director, Center for Stochastic Dynamics, at Illinois Institute of Technology, Chicago, USA. Professor and Associate Director at the Institute for Pure and Applied Mathematics (IPAM: www.ipam.ucla.edu), University of California, Los Angeles, USA, during 2011-2013. Gary Havener Endowed Chair in Mathematics and Statistics, Missouri University of Science and Technology (offer), USA. Director, Center for Mathematical Sciences, Huazhong University of Science and Technology, Wuhan, China. Current Employment: ****************** Chair Professor in Mathematics and in Physics, Great Bay University (near Hong Kong), China. Executive Dean, School of Sciences, Great Bay University (near Hong Kong), China www.gbu.edu.cn Editor-in-Chief, Stochastics and Dynamics --- https://www2.cloud.editorialmanager.com/sd/default2.aspx
Affiliation on publications · Dynamic Systems (United States)
Jinqiao Duan, Kening Lu, Björn Schmalfuß
The Annals of Probability OATop-listed
Yong Xu, Jinqiao Duan, Wei Xu
Physica D Nonlinear PhenomenaTop-listed
Yong Xu, Rencai Gu, Huiqing Zhang, Wei Xu, Jinqiao Duan
Physical Review ECore