7 papers · 1 filter
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…
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…
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…
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…