| Cheng Xinyu Young Principal Investigator Research Institute of Intelligent Complex Systems, Fudan University E-mail: xycheng@fudan.edu.cn |
Biography
Dr. Xinyu Cheng received a first-class Bachelor's degree in Mathematics from the The Chinese University of Hong Kong in 2015. He received his master's degree and Doctor's degree from the University of British Columbia in 2017 and 2021 respectively. He conducted postdoctoral research at the School of Mathematical Sciences, Fudan University, from 2021 to 2023. He has won the introduction project of the Postdoctoral Researcher International Exchange Program and the Shanghai 'Super Postdoctoral Researcher' incentive program. He took charge of one project of China Postdoctoral Researcher Science Foundation and one special funding project of China Postdoctoral Researcher Science Foundation. Since December 2023, he has worked as a Junior Principal Investigator in Research Institute of Intelligent Complex Systems, Fudan University, devoted to the theory, modeling and cross-application of space-time dynamic equations in complex systems. He has published many academic papers in the top or first-class journals in the relevant field, including Comm. Math. Phys.、SIAM J. Appl. Math.、 Cal. Var. PDE.、J. Diff. Eq.、J. Sci. Comput. and etc. He is now in charge of one Young Scientists Fund from NSFC, one Shanghai Magnolia Talent Plan Pujiang Project and one general project from Natural Science Foundation of Shanghai.
Education
2017-2021 Ph.D. of mathematics University of British Columbia
2015-2017 M.Sc. of mathematics University of British Columbia
2011-2015 B.Sc. of mathematics The Chinese University of Hong Kong
Research Interests
nonlinear dynamic equations, partial differential equations, numerical analysis
Representative Publications
1.Xinyu Cheng, Dong Li*, David Shirokoff and Brian Wetton [2017]. On the Spectral Gap of a Square Distance Matrix, J. Stat. Phys., 166(3-4): 1029–1035.
2.Xinyu Cheng, Dong Li, Keith Promislow and Brian Wetton* [2021]. Asymptotic Behaviour of Time Stepping Methods for Phase Field Models, J. Sci. Comput., 86(3): 1–34.
3.Xinyu Cheng, Dong Li, Chaoyu Quan and Wen Yang* [2021]. On a parabolic Sine-Gordon model, Numerical Mathematics: Theory, Methods and Applications., 14(4): 1068–1084.
4.Xinyu Cheng, Hyunju Kwon and Dong Li* [2021]. Non-uniqueness of stationary weak solutions to the surface quasi-geostrophic equations, Comm. Math. Phys., 388 (3): 1281-1295.
5.Xinyu Cheng, Dong Li*, Jiao Xu and Dongbing Zha [2022]. Global well-posedness for 2D quasilinear wave without Lorentz, Dynam. Part. Differ. Eq., 19(2): 123-140.
6.Xinyu Cheng, Dong Li and Wen Yang* [2023]. On the equivalence of classical Helmholtz equation and fractional Helmholtz equation with arbitrary order, Comm. Contemp. Math., 25(9): 2250036.
7.Xinyu Cheng, Zhaohui Fu and Brian Wetton* [2023]. Equivalent formulations of the oxygen diffusion problem and other implicit free boundary value problems and implications for numerical approximation, SIAM J. Appl. Math., 83(1): 52-78.
8. Xinyu Cheng, Jiao Xu* [2024]. On the global well-posedness and scattering of the 3D Klein-Gordon-Zakharov system, Calc. Var. Partial Differential Equations, 63(17).
9. Xinyu Cheng, Dong Li and Wen Yang* [2024]. Localization for general Helmholtz, J. Diff. Eq., 393: 139-154.
10.Xinyu Cheng* [2025]. Energy stable semi-implicit schemes for the 2D Allen-Cahn and fractional Cahn-Hilliard equations, to appear in IMA JNA.
