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



Curriculum Vitae pdf
Research Interests Analysis, Partial Differential Equations, General Relativity.
Publications and Preprint
 (with W. Dai), Characteristic
initial value problem for nonlinear wave equation with singular
initial data, arXiv:2401.17662
 (with D. Wei), Asymptotic
decay for the ChernSimonsHiggs equations, arXiv:2401.13949
 (with W. Dai and H. Mei and D. Wei), Asymptotic decay for defocusing
semilinear wave equations on Schwarzschild spacetimes,
arXiv:2306.10667
 (with W. Dai and H. Mei and D. Wei), The MaxwellKleinGordon equation
with scattering data. arXiv:2302.08732.
 (with D. Wei and P.
Yu), On the global dynamics of YangMillsHiggs
equations, Comm. Math.
Phys. 405(2024), no.1.
 (with D. Wei) On the defocusing
semilinear wave equations in three space dimension with small power, IMRN, 2022, no.24.
 Pointwise decay for
semilinear wave equations in 3D, J.
Funct. Anal.,283(2022), no. 2.
 (with D. Wei) On the
global behaviors for defocusing semilinear wave equations in 2D, Anal.
PDE, 15(2022), no. 1.
 Global behaviors of
defocusing semilinear wave equations, Ann.
Sci.Éc. Norm. Supér. (4) 55(2022), no.1.
 (with D. Wei) On the
3D Relativistic VlasovMaxwell System with large Maxwell field , Comm. Math. Phys. 383 (2021), no. 3,
22752307.
 (with D. Wei) Asymptotic
decay for defocusing semilinear wave equations in 1D, Ann.
PDE. 7(2021), no. 1, 9.
 (with A. Fang and Q. Wang) Global solution for Massive
MaxwellKleinGordon equations with large Maxwell field , Ann.
PDE. 7 (2021), no. 1, 3.
 (with S.
Klainerman and Q. Wang) Global solution for massive
MaxwellKleinGordon equations , Comm.Pure
Appl.Math. 73(2020), no.1, 63109.
 (with P.
Yu) On global dynamics of the
MaxwellKleinGordon equations , Camb. J. Math. 7(2019),
no.4, 365467.
 (with J. Luk
and S. Oh) Dynamical black holes with
prescribed masses in spherical symmetry ,
Adv. Lect.Math.
44(2019), Vol. II, 367387.
 (with G.
Luli and P.
Yu) On onedimension semilinear
wave equations with null conditions , Adv. Math.,
329(2018), 174188.
 (with J. Luk
and S. Oh) Solutions to the
Einsteinscalarfield system in spherical symmetry with large
bounded variation norms, Ann. PDE 4
(2018), no. 1.
 On global behavior of
solutions of the MaxwellKleinGordon equations, Adv. Math.,
326(2018), 495520
 Decay of solutions of
MaxwellKleinGordon equations with large Maxwell field, Anal. PDE, 9
(2016), no.8, 18291902
 On the quasilinear wave
equations in time dependent inhomogeneous media, J. Hyperbolic
Differ. Equ., 13 (2016), no. 2, 273330.
 Global solutions of nonlinear
wave equations with large data , Selecta Math. (N.S.) 21 (2015), no. 4, 14051427.
 Global stability of solutions
to nonlinear wave equations , Selecta Math. (N.S.) 21 (2015), no. 3, 833881.
 On the geodesic hypothesis in
general relativity , Comm.
Math. Phys. 325 (2014), no. 3, 9971062.
 Global solutions of nonlinear
wave equations in time dependent inhomogeneous media , Arch. Rational Mech. Anal.209
(2013), no. 2, 683728.
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.


