Table of Contents
Zhengyan Wu
I started my master program in September 2018 at Chinese Academy of Sciences, and I became a PhD at Bielefeld University since 2021. Now I am in the groups of Prof. Dr. Benjamin Gess and Prof. Dr. Michael Röckner.
Contact
Office: N5-105.
E-Mail: zwu@math.uni-bielefeld.de
Research Interests
Stochastic Partial Differential Equations (SPDEs) and related topics, in particular:
Conservative SPDEs, Fluctuating hydrodynamics, Large deviations, Interacting particle systems.
Preprints
1. Probabilistic Approaches to The Energy Equality in Forced Surface Quasi-Geostrophic Equations
with Lin Wang, 2024.
2. Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits
with Benjamin Gess, Rangrang Zhang, 2024.
3. Landau-Lifshitz-Navier-Stokes Equations: Large Deviations and Relationship to The Energy Equality
with Benjamin Gess, Daniel Heydecker, 2023.
4. McKean-Vlasov PDE with Irregular Drift and Applications to Large Deviations for Conservative SPDEs
with Rangrang Zhang, 2022.
5. Dean-Kawasaki Equation with Singular Interactions and Applications to Dynamical Ising-Kac Model
with Likun Wang, Rangrang Zhang, 2022.
Publications
1. Central Limit Theorem and Moderate Deviation Principle for Stochastic Scalar Conservation Laws
with Rangrang Zhang, J. Math. Anal. Appl, 2022.
Talks
2024
- Korea Institute for Advanced Study (KIAS), online, October, 2024
Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits.
- Beijing Institute of Technology, online, July, 2024.
Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits.
- Stochastic Webinar, Online, May, 2024.
Landau-Lifshitz-Navier-Stokes Equations: Large Deviations and Relationship to The Energy Equality. Video (in Chinese)
- Eleventh Bielefeld-SNU joint workshop, Seoul, April, 2024.
Landau-Lifshitz-Navier-Stokes Equations: Large Deviations and Relationship to The Energy Equality.
- CAS, Beijing, February, 2024.
Landau-Lifshitz-Navier-Stokes Equations: Large Deviations and Relationship to The Energy Equality.
- USTC, online, January, 2024.
Fluctuating hydrodynamics: large deviations and PDEs.
2023
- IRTG retreat, August, 2023.
Higher Order Fluctuation Expansions for Nonlinear Stochastic Heat Equations in Singular Limits.
2022
- CAS, online, December, 2022.
Mean-field SPDE with super-critical interactions and large deviations in scaling limits.
- IRTG summer retreat, Siheung campus of SNU, July 2022.
Dean-Kawasaki equation with singular non-local interaction: well-posedness and large deviations.
2021
- IRTG cluster group: Interacting particle systems, Bielefeld, November 2021.
2020
- Beijing Institute of Technology, online, June 2020
Central limit theorem for stochastic scalar conservation laws.
Teaching
- Tutorials, Probability theory III (English), at Bielefeld University, 2024.
- Tutorials, Stochastic Analysis (English), at Bielefeld University, 2022-2023.
- Tutorials, Probability theory I (English), at Bielefeld University, 2021-2022.
- Tutorials, Functional analysis (English), at Bielefeld University, 2021.
- Tutorials, Mathematical analysis I (Chinese), at Chinese Academy of Sciences, 2019.