王学成 - 清华大学 - 丘成桐数学科学中心

个人简介

教育背景 2007-2011 经济学学士中央财经大学 2011-2016 数学博士普林斯顿大学工作经历 2023至今副教授，清华大学丘成桐数学科学中心 2017-2023 助理教授，清华大学丘成桐数学科学中心 2016-2017 博士后，普林斯顿大学和布朗大学

研究领域

非线性偏微分方程，如薛定谔方程、水波方程、Vlasov方程等

近期论文

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Preprints & To appear Gobal solution of 3D anisotropic wave equations with same speed in one direction, preprint, 2023 Global stability of the Minkowski spacetime for the Einstein-Vlasov system, 98 pages, preprint, 2022 (With A. Ionescu, B. Pausader, K. Widmayer) Nonlinear Landau damping for the Vlasov-Poisson system in R^3: the Poisson equilibrium, preprint, 2022，Annals of PDE, to appear. Global solution of the 3D relativistic Vlasov-Maxwell system for large data with cylindrical symmetry, 113 pages, preprint, 2022. Global solution of the 3D relativistic Vlasov-Poisson system for a class of large data, preprint, 2022. Published papers Please note that the published papers might differ slightly from the preprints. (With A. Ionescu, B. Pausader, K. Widmayer) On the stability of homogeneous equilibria in the Vlasov-Poisson system on R^3, preprint, Classical and Quantum Gravity, 2023, Vol 40, 185007. Remarks on the large data global solutions of 3D RVP system and 3D RVM system, arXiv, Discrete and Continuous Dynamical Systems - Series A, Vol. 43, no. 10, 3796-3829, 2023. Decay estimates for the 3D relativistic and non-relativistic Vlasov-Poisson systems, Kinetic and Related Models, no 1, 1-19, 16(2023). (With A. Ionescu, B. Pausader, K. Widmayer) On the asymptotic behavior of solutions to the Vlasov-Poisson system, International Mathematics Research Notices, Vol. 2022, no. 12, 8865–8889, 2022. Propagation of regularity and long time behavior of 3D massive relativistic transport equation II: Vlasov-Maxwell system, Communications in Mathematical Physics, Vol 389, no.2, pp 715--812, 2022. Propagation of regularity and long time behavior of 3D massive relativistic transport equation I: Vlasov-Nordstrom system, Communications in Mathematical Physics, Vol. 382 , pp 1843--1934, 2021. Global regularity for the $3D$ finite depth capillary water waves, Annales scientifiques de l' 'Ecole normale sup\'erieure, Vol 53, pp 847--943, 2020 Global solution for the $3D$ gravity water waves system above a flat bottom, Advances in Mathematics, Vol. 346, 805-886, 2019. Global infinite energy solutions for the 2D gravity water waves system, Communications on Pure and Applied Mathematics, Vol 71 , no. 1, 90-162, 2018. On the 3-dimensional water waves system above a flat bottom, Analysis & PDE, Vol. 10 , no. 4, pp 893-928, 2017. Global solution for the $3D$ quadratic Schr\"odinger equation of $Q(u, \bar{u})$ type, Discrete and Continuous Dynamical Systems - Series A, Vol. 37 , no. 9, pp 5037-5048, 2017. Global existence for the $2D$ incompressible isotropic elastodynamics for small initial data, Annales Henri Poincar'e, Vol. 18 , no.4, pp 1213--1267, 2017. On global existence of $3D$ charge critical Dirac-Klein-Gordon system, International Mathematics Research Notices, Vol. 2015 , no. 21, pp 10801-10846, 2015. (With B. Pausader, N. Tzvetkov)Global regularity for the energy-critical NLS on $\mathbb{S}^3$. Ann. Inst. H. Poincar\'e Anal. NonLin\'eaire, Vol. 31, no 2, pp 315-338, 2014. A Beurling-H\"ormander theorem associated with the Riemann-Liouville operator, Pacific Journal of Mathematics, Vol. 251 , pp 239-255, 2011.