T. Luo and P. Yu, On the stability of multi-dimensional rarefaction waves II: Existence of solutions and applications to Riemann problem, to appear in Ann. of Math.
T. Luo and P. Yu, On the stability of multi-dimensional rarefaction waves I: The energy estimates, to appear in Ann. of Math.
D. Wei, S. Yang and P. Yu, On the global dynamics of Yang-Mills-Higgs equations, Comm. Math. Phys. 405 (2024), no. 1, Paper No. 4, 54 pp.
L. Lai, J. Li and P. Yu, On the rigidity of stationary charged black holes: small perturbations of the non-extremal Kerr-Newman family, J. Differential Geom. 125 (2023), no. 3, 553-612.
S. Yang and P. Yu, On global dynamics of the Maxwell-Klein-Gordon equations, Camb. J. Math. 7(2019), no.4, 365-467.
G. K. Luli, S.Yang and P. Yu, On one-dimension semi-linear wave equations with null conditions, Adv. Math. 329 (2018), 174-188.
L. He, L. Xu and P. Yu, On global dynamics of three dimensional magnetohydrodynamics: nonlinear stability of Alfven waves, Ann. PDE. 4 (2018), no. 1, Art. 5, 105 pp.
S. Miao and P. Yu, On the formation of shocks for quasilinear wave equations, Invent. Math. 207 (2017), no.2, 697-831.
J. Wang and P. Yu, A Large Data Regime for non-linear Wave Equations, J. Eur. Math. Soc. 18 (2016), no. 3, 575-622.
J. Li and P. Yu, Construction of Cauchy Data of Vacuum Einstein field equations Evolving to Black Holes, Ann. of Math., 181(2015), no.2, 699-768.