11 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…
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…