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math.AP2025
Global-in-time Well-posedness of Classical Solutions to the Vacuum Free Boundary Problem for the Viscous Saint-Venant System with Large Data
Xin Zhouping, Zhang Jiawen, Zhu Shengguo
We establish the global well-posedness of classical solutions to the vacuum free boundary problem of the 1-D viscous Saint-Venant system with large data. Since the depth of the…
math.AP2015★ 3 cited
Uniform regularity and vanishing viscosity limit for the compressible Navier-Stokes with general Navier-slip boundary conditions in 3-dimensional domains
Wang Yong, Xin Zhouping, Yong Yan
In this paper, we investigate the uniform regularity for the isentropic compressible Navier-Stokes system with general Navier-slip boundary conditions (1.6) and the inviscid limit…
math.AP2012★ 4 cited
On blowup of classical solutions to the compressible Navier-Stokes equations
Xin Zhouping, Yan Wei
We study the finite time blow up of smooth solutions to the Compressible Navier-Stokes system when the initial data contain vacuums. We prove that any classical solutions of viscou…