个人简介
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 2023, Calculus II, Peking University.
Fall 2022, Calculus I, Peking University.
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
Analysis, Partial Differential Equations, General Relativity
近期论文
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1. Wei Dai and He Mei and Dongyi Wei and Shiwu Yang, The Maxwell-Klein-Gordon equation with scattering data , arXiv:2302.08732.
2. Dongyi Wei and Shiwu Yang and Pin Yu, On the global dynamics of Yang-MillsHiggs equations, arXiv:2203.12143.
3. Dongyi Wei and Shiwu Yang, On the defocusing semilinear wave equations in three space dimension with small power, IMRN, 2022, no. 24.
4. Shiwu Yang, Pointwise decay for semilinear wave equations in R 1+3, Journal of Functional Analysis, 283 (2022), no. 2.
5. Shiwu Yang, Global behaviors of defocusing semilinear wave equations, Ann. Sci.Ec. Norm. Sup´er. (4) ´ , 55 (2022), no. 2, 405-428.
6. Dongyi Wei and Shiwu Yang, On the global behaviors for defocusing semilinear wave equations in R 1+2, Analysis&PDE, 15 (2022), no. 1, 245-272.
7. Dongyi Wei and Shiwu Yang, On the 3D Relativistic Vlasov-Maxwell System with large Maxwell field, Comm. Math. Phys., 383 (2021), no. 3, 2275-2307.
8. Dongyi Wei and Shiwu Yang, Asymptotic decay for defocusing semilinear wave equations in R 1+1, Ann. PDE, 7 (2021), no. 1, 9.
9. Allen Fang, Qian Wang and Shiwu Yang, Global solution for Massive MaxwellKlein-Gordon equations with large Maxwell field, Ann. PDE, 7 (2021), no. 1,3.
10. Sergiu Klainerman, Qian Wang and Shiwu Yang, Global solution for massive Maxwell-Klein-Gordon equations, Comm.Pure Appl.Math, 73(2020), no.1, 63-109.
11. Shiwu Yang and Pin Yu, On global dynamics of the Maxwell-Klein-Gordon equations, Camb.J.Math, 7(2019), no.4, 365-467.
12. Jonathan Luk, Sung-Jin Oh and Shiwu Yang, Dynamical black holes with prescribed masses in spherical symmetry, Proceedings of the Seventh International Congress of Chinese Mathematicians, Vol. II, 367-387, Adv. Lect.Math, 44(2019).
13. Garving Luli, Shiwu Yang and Pin Yu, On one-dimension semi-linear wave equations with null conditions, Adv. Math., 329(2018), 174-188.
14. Jonathan Luk, Sung-Jin Oh and Shiwu Yang, Solutions to the Einstein-scalar-field system in spherical symmetry with large bounded variation norms, Ann. PDE,4(2018), no.1.
15. Shiwu Yang, On global behavior opf solutions of the Maxwell-Klein-Gordon equations, Adv. Math., 326(2018), 495-520.
16. Shiwu Yang, Decay of solutions of Maxwell-Klein-Gordon equations with large Maxwell field, Anal. PDE, 9 (2016), no.8, 1829-1902.
17. Shiwu Yang, On the quasilinear wave equations in time dependent inhomogeneous media, J. Hyperbolic Differ. Equ., 13 (2016), no. 2, 273-330.
18. Shiwu Yang, Global solutions of nonlinear wave equations with large energy, Selecta Math. (N.S.), 21 (2015), no. 4, 1405-1427.
19. Shiwu Yang, Global stability of solutions to nonlinear wave equations, Selecta Math. (N.S.), 21 (2015), no. 3, 833-881.
20. Shiwu Yang, On the geodesic hypothesis in general relativity, Comm. Math.Phys., 325 (2014), no. 3, 997-1062.
21. Shiwu Yang, 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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