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20132020
most citedLocal well-posedness and break-down criterion of the incompressible Euler equations with free boundary

7 citations · 11 across the 7 of their papers we have counts for

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math.AP20201 cited

Stability of large solutions for full compressible Navier-Stokes equations in the whole spaces

Lingbing He, Jingchi Huang, Chao Wang

The current paper is devoted to the investigation of the global-in-time stability of large solutions for the full Navier-Stokes-Fourier system in the whole space. Suppose that the…

math.AP2019

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…

math.AP2019

A note on the regularity of the holes for permeability property through a perforated domain for the 2D Euler equations

Christophe Lacave, Chao Wang

For equations of order two with the Dirichlet boundary condition, as the Laplace problem, the Stokes and the Navier-Stokes systems, perforated domains were only studied when the di…

math.AP2018

Water waves problem with surface tension in a corner domain II: the local well-posednes

Mei Ming, Chao Wang

Based on the a priori estimates in our previous work \cite{MW}, we continue to investigate the water-waves problem in a bounded two dimensional corner domain in this paper. We prov…

math.AP2017

Global stability of large solutions to the 3D compressible Navier-Stokes equations

Lingbing He, Jingchi Huang, Chao Wang

The present paper aims at the investigation of the global stability of large solutions to the compressible Navier-Stokes equations in the whole space. Our main results and innovati…

math.AP20157 cited

Local well-posedness and break-down criterion of the incompressible Euler equations with free boundary

Chao Wang, Zhifei Zhang, Weiren Zhao +1

In this paper, we prove the local well-posedness of the free boundary problem for the incompressible Euler equations in low regularity Sobolev spaces, in which the velocity is a Li…