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math.AP2023
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…
math.AP2023
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…
math.AP2016★ 2 cited
Well-posedness of the linearized Prandtl equation around a non-monotonic shear flow
Dongxiang Chen, Yuxi Wang, Zhifei Zhang
In this paper, we prove the well-posedness of the linearized Prandtl equation around a non-monotonic shear flow in Gevrey class for any . This result is almost optimal b…