个人简介
Jian-Guo Liu is visiting NYU Shanghai for the Spring term 2019. He is a professor of mathematics and physics at Duke University. He works on partial differential equations, kinetic theory, fluid dynamics, numerical analysis, machine learning and particle systems. He is a fallow of AMS and co-editor of Journal of hyperbolic differential equations. He was a Courant Instructor at NYU’s Courant Institute of Mathematical Sciences.
PhD, Mathematics, UCLA, 1990
MS, Mathematics, Fudan University, 1985
BS, Mathematics, Fudan University, 1982
研究领域
Partial Differential Equations,
Kinetic Theory
Numerical Analysis
近期论文
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Y. Feng, L. Li and J.-G. Liu, Semigroups of stochastic gradient descent and online principle component analysis: properties and diffusion approximations. Comm. Math. Sci., 16 (2018) 777-789.
P. Degond, J.-G. Liu, and R.L. Pego, Coagulation-fragmentation model for animal group-size statistics, J. Nonlinear Science, 27 (2017) 379–424.
J.-G. Liu and R. Yang, Propagation of chaos for large Brownian particle system with Coulomb interaction, Research in the Mathematical Sciences, (2016) 3:40.
J.-G. Liu and R.L. Pego, On generating functions of Hausdorff moment sequences, Trans. Amer. Math. Soc. 368 (2016) 8499-8518.
P. Degond, A. Frouvelle, J.-G. Liu, Phase transitions, hysteresis, and hyperbolicity for self-organized alignment dynamics, Arch. Rat. Mech. Anal. 216 (2015) 63-115.
P. Degond, J.-G. Liu and C. Ringhofer, Large-scale dynamics of Mean-Field Games driven by local Nash equilibria, J Nonlinear Sci., 24 (2014) 93-115.
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