Publications

Li, Hui, Nader Masmoudi, and Weiren Zhao. "A dynamical approach to the study of instability near Couette flow." Communications on Pure and Applied Mathematics 77, no. 6 (2024): 2863-2946.

Zhao, Weiren, and Ruizhao Zi. "Asymptotic stability of Couette flow in a strong uniform magnetic field for the Euler-MHD system." Archive for Rational Mechanics and Analysis 248, no. 3 (2024): 47.

Masmoudi, Nader, and Weiren Zhao. "Nonlinear inviscid damping for a class of monotone shear flows in a finite channel." Annals of Mathematics 199, no. 3 (2024): 1093-1175.

Masmoudi, Nader, Cuili Zhai, and Weiren Zhao. "Asymptotic stability for two-dimensional Boussinesq systems around the Couette flow in a finite channel." Journal of Functional Analysis 284, no. 1 (2023): 109736.

Zhai, Cuili, and Weiren Zhao. "Stability Threshold of the Couette Flow for Navier–Stokes Boussinesq System with Large Richardson Number  $\gamma^2>\frac{1}{4}$." SIAM Journal on Mathematical Analysis 55, no. 2 (2023): 1284-1318.

Li, Hui, and Weiren Zhao. "Metastability for the dissipative quasi-geostrophic equation and the non-local enhancement." Communications in Mathematical Physics 401, no. 2 (2023): 1383-1415.

Liu, Han, Nader Masmoudi, Cuili Zhai, and Weiren Zhao. "Linear damping and depletion in flowing plasma with strong sheared magnetic fields." Journal de Mathématiques Pures et Appliquées 158 (2022): 1-41.

Masmoudi, Nader, and Weiren Zhao. "Stability threshold of two-dimensional Couette flow in Sobolev spaces." In Annales de l'Institut Henri Poincaré C, Analyse non linéaire, vol. 39, no. 2. 2022.

Masmoudi, Nader, Belkacem Said-Houari, and Weiren Zhao. "Stability of the Couette flow for a 2D Boussinesq system without thermal diffusivity." Archive for Rational Mechanics and Analysis 245, no. 2 (2022): 645-752.

Wang, Chao, Zhifei Zhang, Weiren Zhao, and Yunrui Zheng. Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary. Vol. 270, no. 1318. American Mathematical Society, 2021.

Cuili Zhai, Zhifei Zhang, and Weiren Zhao. "Long-Time Behavior of Alfvén Waves in a Flowing Plasma: Generation of the Magnetic Island". Arch Rational Mech Anal 242, 1317–1394 (2021). 

Masmoudi, Nader, and Weiren Zhao. "Enhanced dissipation for the 2D Couette flow in critical space." Communications in Partial Differential Equations 45, no. 12 (2020): 1682-1701.

Wei, Dongyi, Zhifei Zhang, and Weiren Zhao. "Linear inviscid damping and enhanced dissipation for the Kolmogorov flow." Advances in Mathematics 362 (2020): 106963.

Wei, Dongyi, Zhifei Zhang, and Weiren Zhao. "Linear inviscid damping and vorticity depletion for shear flows." Annals of PDE 5, no. 1 (2019): 3.

Wei, Dongyi, Zhifei Zhang, and Weiren Zhao. "Linear inviscid damping for a class of monotone shear flow in Sobolev spaces." Communications on Pure and Applied Mathematics 71, no. 4 (2018): 617-687.

Ren, Siqi, and Weiren Zhao. "Linear damping of Alfvén waves by phase mixing." SIAM Journal on Mathematical Analysis 49, no. 3 (2017): 2101-2137.