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math.AP2026
Finite-Time Vanishing of Vacuum and Large-Time Behavior of the Multi-Dimensional Degenerate Compressible Navier-Stokes Equations with Large Spherically Symmetric Initial Data
Qinghao Lei, Zhilei Liang
In this paper, we study the two- and three-dimensional barotropic compressible Navier-Stokes equations with degenerate density-dependent viscosity coefficients in the whole space o…
math.AP2026
On weak solutions for the stationary Cahn-Hillard-Navier-Stokes equations with singular potential
Zhilei Liang, Sen Liu, Jiangyu Shuai +1
The stationary Navier--Stokes--Cahn--Hilliard equations are considered, governing the motion of a compressible, two-phase fluid mixture with a diffuse interface. The free energy de…