Jian Wang (王健)
I am a postdoc at IHES. I obtained my Ph.D. at Berkeley under the supervision of Maciej Zworski.
I am interested in microlocal analysis, PDE, and mathematical physics.
Contact: wangjian at ihes dot fr
Here is my CV.
I am a postdoc at IHES. I obtained my Ph.D. at Berkeley under the supervision of Maciej Zworski.
I am interested in microlocal analysis, PDE, and mathematical physics.
Contact: wangjian at ihes dot fr
Here is my CV.
Hölder damping for fractional wave equations, with Ruoyu P. T. Wang, 2025.
Evolution of internal waves in a 2D subcritical channel, with Zhenhao Li and Jared Wunsch, 2025.
Orr–Sommerfeld equation and complex deformation, with Malo Jézéquel, 2025.
Convex waves grazing convex obstacles to high order, with Mark Williams, 2024.
Internal waves in a 2D subcritical channel, with Zhenhao Li and Jared Wunsch, 2024.
Transport of nonlinear oscillations along rays that graze a convex obstacle to any order, with Mark Williams, Ann. PDE, 11(2025), no. 7.
Damping for fractional wave equations and applications to water waves, with Thomas Alazard and Jeremy L. Marzuola, J. Math. Pures Appl. (9), 196 (2025), Article ID 103692.
Control estimates for 0th order pseudodifferential operators, with Hans Christianson and Ruoyu P. T. Wang, Int. Math. Res. Not. IMRN, 2024 (2024), no. 8, 6656-6679.
The scattering phase: seen at last, with Jeffrey Galkowski, Pierre Marchand and Maciej Zworski, SIAM J. Appl. Math., 84 (2024), no. 1, 246-261.
Mathematics of internal waves in a two-dimensional aquarium, with Semyon Dyatlov and Maciej Zworski, Anal. PDE, 18 (2025), no.1, 1-92.
Dynamics of resonances for 0th order pseudodifferential operators, Comm. Math. Phys. 391 (2022), 643-668.
Sharp radial estimates in Besov spaces, preprint, 2020.
The scattering matrix for 0th order pseudodifferential operators, Ann. Inst. Fourier (Grenoble) 73 (2023), no. 5, 2185-2237.
Strichartz estimates for convex co-compact hyperbolic surfaces, Proc. Amer. Math. Soc. 147 (2019), 873-883.
Microlocal analysis of internal wave attractors, Rev. Math. Phys., 2024, published online.
In Fall 2025, I am a teaching assistant for the course "Topology and Multivariable Calculus" at École Polytechnique.