217 citations · 1.8k across the 81 of their papers we have counts for
83 papers
Neutral curves and traveling waves in plane Poiseuille flow
Hui Li, Yuxi Wang, Zhifei Zhang
We study the spectrum of the Orr--Sommerfeld operator associated with the incompressible plane Poiseuille flow in the high-Reynolds-number regime. In the Tollmien--Schlichting eige…
Zero-viscosity limit of the compressible Naiver-Stokes equations in the analytic setting
Chao Wang, Yuxi Wang, Zhifei Zhang
In this paper, we study the zero-viscosity limit of the compressible Navier-Stokes equations in a half-space with non-slip boundary condition. We justify the Prandtl boundary layer…
Tollmien-Schlichting waves in the subsonic regime
Nader Masmoudi, Yuxi Wang, Di Wu +1
The Tollmien-Schlichting (T-S) waves play a key role in the early stages of boundary layer transition. In a breakthrough work, Grenier, Guo and Nguyen gave the first rigorous const…
Nonlinear inviscid damping for 2-D inhomogeneous incompressible Euler equations
Qi Chen, Dongyi Wei, Ping Zhang +1
We prove the asymptotic stability of shear flows close to the Couette flow for the 2-D inhomogeneous incompressible Euler equations on . More precisely…
Quantitative Green's Function Estimates for Lattice Quasi-periodic Schrödinger Operators
Hongyi Cao, Yunfeng Shi, Zhifei Zhang
In this paper, we establish quantitative Green's function estimates for some higher dimensional lattice quasi-periodic (QP) Schrödinger operators. The resonances in the estimates c…
Global stability of the compressible viscous surface waves in an infinite layer
Guilong Gui, Zhifei Zhang
We investigate in this paper the global stability of the compressible viscous surface waves in the absence of surface tension effect with a steady-state violating Rayleigh-Taylor i…