15 citations · 35 across the 10 of their papers we have counts for
10 papers
Long-Wave Spectral Instability of Shear Layers for the Compressible Euler Equations
Chao Wang, Yuxi Wang, Wenzhi Wu +1
We study the long-wave spectral instability of the two-dimensional compressible Euler equations around smooth monotone shear layers. We construct decaying half-line solutions of th…
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…
Mack modes in supersonic boundary layer
Nader Masmoudi, Yuxi Wang, Di Wu +1
Understanding the transition mechanism of boundary layer flows is of great significance in physics and engineering, especially due to the current development of supersonic and hype…
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…
Optimal Gevrey stability of hydrostatic approximation for the Navier-Stokes equations in a thin domain
Chao Wang, Yuxi Wang
In this paper, we study the hydrostatic approximation for the Navier-Stokes system in a thin domain. When the convex initial data with Gevrey regularity of optimal index 3/2 in x v…
On the global small solution of 2-D Prandtl system with initial data in the optimal Gevrey class
Chao Wang Yuxi Wang, Ping Zhang
Motivated by \cite{DG19}, we prove the global existence and large time behavior of small solutions to 2-D Prandtl system for data with Gevrey 2 regularity in the variable and S…
Gevrey stability of hydrostatic approximate for the Navier-Stokes equations in a thin domain
Chao Wang, Yuxi Wang, Zhifei Zhang
In this paper, we justify the limit from the Navier-Stokes system in a thin domain to the hydrostatic Navier-Stokes/Prandtl system for the convex initial data with Gevrey 9/8 regua…
Local well-posedness of the vacuum free boundary of 3-D compressible Navier-Stokes equations
Guilong Gui, Chao Wang, Yuxi Wang
In this paper, we consider the 3-D motion of viscous gas with the vacuum free boundary. We use the conormal derivative to establish local well-posedness of this system. One of impo…
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…