蔚辉 - 清华大学 - 丘成桐数学科学中心

个人简介

教育背景 2004-2008 学士南开大学 2008-2013 博士美国爱荷华州立大学工作经历 2017 至今助理教授清华大学丘成桐数学科学中心 2015-2017 博士后德国亚琛工业大学 2013-2015 博士后法国保尔.萨巴提埃大学

研究领域

Computational and Applied Mathematics with emphases on Modelling of emergence and self-organization in complex systems Numerical solutions of partial differential equations using (1) Discontinuous Galerkin finite element methods (2) Entropy satisfying and maximum-principle satisfying methods Feedback boundary control of hyperbolic systems

近期论文

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Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, and H. Yu. Emergent behaviors of the Justh-Krishnaprasad model with uncertain communications. Journal of Differential Equations, 322: 38-70, 2022. Hailiang Liu, Zhongming Wang, Peimeng Yin, and H. Yu. Positivity-preserving third order DG schemes for Poisson–Nernst–Planck equations. Journal of Computational Physics, Vol. 452, 110777, 2022. Stephan Gerster, Michael Herty, and H. Yu. Hypocoercivity of stochastic Galerkin formulations for kinetic equations. Communications in Mathematical Sciences, Vol. 19, No. 3, 787-806, 2021. Seung-Yeal Ha, Dongnam Ko, Woojoo Shim, and H. Yu. Stochastic persistency of nematic alignment state for the Justh-Krishnaprasad model with additive white noises. Mathematical Models and Methods in Applied Sciences, Vol. 30, No. 04, pp. 727-763, 2020. Xin Liu, Xi Chen, Shi Jin, Alexander Kurganov, Tong Wu, and H. Yu. Moving-Water Equilibria Preserving Partial Relaxation Scheme for the Saint-Venant System. Vol. 42, Iss. 4, pp. A2206-A2229, SIAM Journal on Scientific Computing, 2020. Sebastian Kehne, Alexander Epple, Michael Herty, Werner Herfs, and H. Yu. Optimized multi-dimensional axis design for machine tools with uncertainties. Submitted to IEEE Transactions on Industry Applications, 2019. H. Yu and Hailiang Liu. Third order maximum-principle-satisfying DG schemes for convection-diffusion problems with anisotropic diffusivity. Journal of Computational Physics. Volume 391, pp. 14-36, 2019. Pierre Degond, Sara Merino-Aceituno, Fabien Vergnet, and H. Yu. Coupled Self-Organized Hydrodynamics and Stokes models for suspensions of active particles. Journal of Mathematical Fluid Mechanics, 21:6, 2019. Pierre Degond, Angelika Manhart, and H. Yu. An age-structured continuum model for myxobacteria. Mathematical Models and Methods in Applied Sciences. Volume 28, Number 09, pp. 1737-1770, 2018. Martin Gugat, Michael Herty, and H. Yu. On the relaxation approximation for 2X2 hyperbolic balance laws. XVI International Conference on Hyperbolic Problems: Theory, Numerics and Applications of Hyperbolic Problems I, pp. 651-663, 2018. Michael Herty and H. Yu. Feedback boundary control of linear hyperbolic equations with stiff source term. International Journal of Control. Volume 91, Issue 1, pp. 230-240, 2018. Michael Herty and H. Yu. Boundary stabilization of hyperbolic conservation laws using conservative finite volume schemes. Proceedings of the 55th IEEE Conference on Decision and Control, 2016. P. Degond, S. Henkes, and H. Yu. Self-Organized Hydrodynamics with density dependent velocity. Kinetic and Related Models, Volume 10, Issue 1, pp. 193-213, 2017. P. Degond, A. Manhart, and H. Yu. A continuum model for nematic alignment of self-propelled particles. Discrete and Continuous Dynamical Systems B, Volume 22, Issue 4, pp. 1295-1327, 2017. A. Creppy, F. Plouraboué, O. Praud, X. Druart, S. Cazin, H. Yu, and P. Degond. Symmetry-breaking phase transitions in highly concentrated semen. Journal of the Royal Society Interface, Volume 13, Issue 123, 2016. P. Degond and H. Yu. Self-Organized Hydrodynamics in an annular domain: modal analysis and nonlinear effects. Mathematical Models and Methods in Applied Sciences, Volume 25, Issue 03, pp. 495-519, 2015. Hailiang Liu and H. Yu. The entropy satisfying discontinuous Galerkin method for Fokker-Planck equations. Journal of Scientific Computing, Vol 62, Issue 3, pp. 803-830, 2015. Hailiang Liu and H. Yu. Maximum-principle-satisfying third order discontinuous Galerkin methods for Fokker-Planck equations. SIAM Journal on Scientific Computing, Vol 36, No 5, pp. A2296-A2325, 2014. Hailiang Liu and H. Yu. Entropy/energy stable schemes for evolutionary dispersal models. Journal of Computational Physics, 256, pp. 656–677, 2014. Hailiang Liu and H. Yu. An entropy satisfying conservative method for the Fokker-Planck equation of the finitely extensible nonlinear elastic dumbbell model. SIAM Journal on Numerical Analysis, 50(3), pp. 1207-1239, 2012.