12 papers
The Inviscid Limit of Viscous Burgers through Shock Formation and Development
Chao Wang, Yueyi Yang, Zhifei Zhang
We study the inviscid limit of the one-dimensional viscous Burgers equation from smooth initial data through nondegenerate shock formation and subsequent shock development. Chaturv…
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…
Exponential mixing for nonlinear Schrödinger equations perturbed by bounded degenerate noise
Yuxuan Chen, Shengquan Xiang, Zhifei Zhang
We prove the exponential convergence to a unique invariant measure for locally damped nonlinear Schrödinger equations, perturbed by bounded noise acting on only two Fourier modes.…
The Navier-Stokes equations in with point vortex initial data: Zero-viscosity limit
Chao Wang, Jingchao Yue, Zhifei Zhang
This is the second of two papers devoted to the asymptotic behavior of solutions to the incompressible Navier-Stokes equations in a half-space with point vortex initial data. A maj…
The Navier-Stokes equations in with point vortex initial data: construction of the solution
Chao Wang, Jingchao Yue, Zhifei Zhang
This is the first of two papers concerning the asymptotic behavior of the incompressible Navier-Stokes equations in a half-space at high Reynolds numbers, with initial data given b…
Transition threshold for the Navier-Stokes-Coriolis system at high Reynolds numbers
Minling Li, Changzhen Sun, Chao Wang +2
The transition mechanism from laminar flow to turbulent flow is a central problem in hydrodynamic stability theory. To shed light on this transition mechanism, Trefethen et al.({\i…
On the classical solution for the steady triple-deck equations
Ming Dong, Chao Wang, Qin Wu +1
This paper establishes the existence and uniqueness of classical solutions to the steady Triple-Deck equations, which describe incompressible boundary layer flow over localized rou…
Nonlinear stability of 2-D Couette flow for the compressible Navier-Stokes equations at high Reynolds number
Minling Li, Chao Wang, Zhifei Zhang
In this paper, we investigate the nonlinear stability of the Couette flow for the two-dimensional compressible Navier--Stokes equations at high Reynolds numbers () regime. It w…
Incompressible Euler limit from the Boltzmann equation with Maxwell reflection boundary condition in the half-space
Ning Jiang, Chao Wang, Yulong Wu +1
In this paper, we rigorously justify the incompressible Euler limit of the Boltzmann equation with general Maxwell reflection boundary condition in the half-space. The accommodatio…
Incompressible and vanishing vertical viscosity limit for the compressible Navier-Stokes system with Dirichlet boundary conditions
Nader Masmoudi, Changzhen Sun, Chao Wang +1
In this paper, we show the incompressible and vanishing vertical viscosity limits for the strong solutions to the isentropic compressible Navier-Stokes system with anistropic dissi…
The interaction between rough vortex patch and boundary layer
Jingchi Huang, Chao Wang, Jingchao Yue +1
In this paper, we investigate the asymptotic behavior of solutions to the Navier-Stokes equations in the half-plane under high Reynolds number conditions, where the initial vortici…
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…