15 citations · 69 across the 20 of their papers we have counts for
20 papers
Local Well-Posedness for Compressible Capillary-Gravity Water Waves with Acute Contact Angles
Jingchi Huang, Shanmu Li, Chao Wang
Our purpose is to investigate the local well-posedness of the compressible Euler equations in a two-dimensional bounded corner domain with acute contact angles. This configuration…
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…
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…
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…
Local well-posedness of the capillary-gravity water waves with acute contact angles
Mei Ming, Chao Wang
We consider the two-dimensional capillary-gravity water waves problem where the free surface intersects the bottom at two contact points. In our previous works \cite{MW…
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…