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math.AP2024
Non-existence of classical solutions to a two-phase flow model with vacuum
Hai-Liang Li, Yuexun Wang, Yue Zhang
In this paper, we study the well-posedness of classical solutions to a two-phase flow model consisting of the pressureless Euler equations coupled with the isentropic compressible…
math.AP2023★ 3 cited
On the vacuum free boundary problem of the viscous Saint-Venant system for shallow water in two dimensions
Hai-Liang Li, Yuexun Wang, Zhouping Xin
In this paper, we establish the local-in-time well-posedness of classical solutions to the vacuum free boundary problem of the viscous Saint-Venant system for shallow water in two…
math.AP2008★ 242 cited
Vanishing of vacuum states and blow-up phenomena of the compressible Navier-Stokes equations
Hai-Liang Li, Jing Li, Zhouping Xin
The Navier-Stokes systems for compressible fluids with density-dependent viscosities are considered in the present paper. These equations, in particular, include the ones which are…