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杨诗武
2023-05-05 16:40
  • 杨诗武
  • 杨诗武 - 助理教授-北京大学-北京国际数学研究中心-个人资料

近期热点

资料介绍

个人简历


I am currently employed as assistant professor at Beijing International Center for Mathematical Research in Peking University. I did my postdoc in University of Cambridge . My mentor there was Professor Mihalis Dafermos. I obtained my Ph.D in mathemtaics from Princeton University in June 2013 under the supervision of Professor Igor Rodnianski.
Teaching
Spring 2020, Hyperbolic Partial Differential Equations, Peking University.
Fall 2019, Functions of Real Variables, Peking University.
Spring 2019, Hyperbolic Partial Differential Equations, Peking University.
Fall 2018, Calculus C, Peking University.
Spring 2018, Partial Differential Equations, Lecturer, Peking University.
Fall 2017, Calculus III, Lecturer, Peking University.
Spring 2017, Advanced Mathematics B, Lecturer, Peking University.
Michaelmas 2015, Linear Analysis II, Supervisor, University of Cambridge.
Lent 2015, Dispersive PDEs, University of Cambridge.
Michaelmas 2014, Topics in Analysis, Supervisor, University of Cambridge.
Summer 2012, Study Analysis and Geometry, Nonlinear Evolution Equations, Lecturer for the problem section, Princeton University.
Fall 2011, Math104, Calculus II (one variable), Princeton University.

研究领域


研究方向: 偏微分方程"Research Interests Analysis

近期论文


Publications and Preprint
(with D. Wei) On the 3D Relativistic Vlasov-Maxwell System with large Maxwell field , arXiv:2005.06130.
(with D. Wei) Asymptotic decay for defocusing semilinear wave equations in 1D, arXiv:2003.12264.
(with D. Wei) On the global behaviors for defocusing semilinear wave equations in 2D, arXiv:2003.02399.
Uniform bound for solutions of semilinear wave equations in 3D, arXiv:1910.02230.
Pointwise decay for semilinear wave equations in 3D, arXiv:1908.00607.
Global behaviors of defocusing semilinear wave equations, arXiv:1908.00606.
(with A. Fang and Q. Wang) Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field , arXiv:1902.08927.
(with S. Klainerman and Q. Wang) Global solution for massive Maxwell-Klein-Gordon equations , Comm.Pure Appl.Math. 73(2020), no.1, 63-109.
(with P. Yu) On global dynamics of the Maxwell-Klein-Gordon equations , Camb. J. Math. 7(2019), no.4, 365-467.
(with J. Luk and S. Oh) Dynamical black holes with prescribed masses in spherical symmetry , Adv. Lect.Math. 44(2019), Vol. II, 367-387.
(with G. Luli and P. Yu) On one-dimension semi-linear wave equations with null conditions , Adv. Math., 329(2018), 174-188.
(with J. Luk and S. Oh) Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms, Ann. PDE 4 (2018), no. 1.
On global behavior of solutions of the Maxwell-Klein-Gordon equations, Adv. Math., 326(2018), 495-520
Decay of solutions of Maxwell-Klein-Gordon equations with large Maxwell field, Anal. PDE, 9 (2016), no.8, 1829-1902
On the quasilinear wave equations in time dependent inhomogeneous media, J. Hyperbolic Differ. Equ., 13 (2016), no. 2, 273-330.
Global solutions of nonlinear wave equations with large data , Selecta Math. (N.S.) 21 (2015), no. 4, 1405-1427.
Global stability of solutions to nonlinear wave equations , Selecta Math. (N.S.) 21 (2015), no. 3, 833-881.
On the geodesic hypothesis in general relativity , Comm. Math. Phys. 325 (2014), no. 3, 997-1062.
Global solutions of nonlinear wave equations in time dependent inhomogeneous media , Arch. Rational Mech. Anal.209 (2013), no. 2, 683-728.

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