Shiwu Yang
Associate Professor

Beijing International Center for Mathematical Research
Peking University
5 Yiheyuan Road, Jingchunyuan Courtyard

Office: 77105

Email: shiwuyang@math.pku.edu.cn

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.

Curriculum Vitae pdf

Research Interests Analysis, Partial Differential Equations, General Relativity.

Publications and Preprint

  1. (with W. Dai and H. Mei and D. Wei),  The Maxwell-Klein-Gordon equation with scattering data. arXiv:2302.08732.
  2. (with D. Wei and P. Yu), On the global dynamics of Yang-Mills-Higgs equations, arXiv:2203.12143.
  3. (with D. Wei) On the defocusing semilinear wave equations in three space dimension with small power, IMRN, 2022, no.24.
  4. Pointwise decay for semilinear wave equations in 3D, J. Funct. Anal.,283(2022), no. 2.
  5. (with D. Wei) On the global behaviors for defocusing semilinear wave equations in 2D, Anal. PDE, 15(2022), no. 1.
  6. Global behaviors of defocusing semilinear wave equations, Ann. Sci.Éc. Norm. Supér. (4) 55(2022), no.1.
  7. (with D. Wei) On the 3D Relativistic Vlasov-Maxwell System with large Maxwell field , Comm. Math. Phys. 383 (2021), no. 3, 2275-2307.
  8. (with D. Wei) Asymptotic decay for defocusing semilinear wave equations in 1D, Ann. PDE. 7(2021), no. 1, 9.
  9. (with A. Fang and Q. Wang) Global solution for Massive Maxwell-Klein-Gordon equations with large Maxwell field , Ann. PDE. 7 (2021), no. 1, 3.
  10. (with S. Klainerman and Q. Wang) Global solution for massive Maxwell-Klein-Gordon equations , Comm.Pure Appl.Math. 73(2020), no.1, 63-109.
  11. (with P. Yu) On global dynamics of the Maxwell-Klein-Gordon equations , Camb. J. Math. 7(2019), no.4, 365-467.
  12. (with J. Luk and S. Oh) Dynamical black holes with prescribed masses in spherical symmetry , Adv. Lect.Math. 44(2019), Vol. II, 367-387.
  13. (with G. Luli and P. Yu) On one-dimension semi-linear wave equations with null conditions , Adv. Math., 329(2018), 174-188.
  14. (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.
  15. On global behavior of solutions of the Maxwell-Klein-Gordon equations, Adv. Math., 326(2018), 495-520
  16. Decay of solutions of Maxwell-Klein-Gordon equations with large Maxwell field, Anal. PDE, 9 (2016), no.8, 1829-1902
  17. On the quasilinear wave equations in time dependent inhomogeneous media, J. Hyperbolic Differ. Equ., 13 (2016), no. 2, 273-330.
  18. Global solutions of nonlinear wave equations with large data , Selecta Math. (N.S.) 21 (2015), no. 4, 1405-1427.
  19. Global stability of solutions to nonlinear wave equations , Selecta Math. (N.S.) 21 (2015), no. 3, 833-881.
  20. On the geodesic hypothesis in general relativity , Comm. Math. Phys. 325 (2014), no. 3, 997-1062.
  21. Global solutions of nonlinear wave equations in time dependent inhomogeneous media , Arch. Rational Mech. Anal.209 (2013), no. 2, 683-728.

Teaching

  • Spring 2023, Calculus II, Peking University.
  • Fall 2022, Calculus I, Peking University.
  • Spring 2022, Hyperbolic Partial Differential Equations, Peking University.
  • Fall 2021, Functions of Real Variables, Peking University.
  • Spring 2021, Hyperbolic Partial Differential Equations, Peking University.
  • Fall 2020, Functions of Real Variables, 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.