@article{CHEN2026, 
author = {DongDong CHEN and XinYi FENG and YaZhou CHEN},
title = {Global existence of weak solutions for three-dimensional compressible Navier-Stokes/Allen-Cahn systems with slip boundary conditions},
year = {2026},
journal = {Journal of Beijing University of Chemical Technology (Natural Science Edition)},
volume = {53},
number = {2},
pages = {126-133},
keywords = {Navier-Stokes/Allen-Cahn system, slip boundary conditions, existence of weak solution},
url = {https://www.sciopen.com/article/10.13543/j.bhxbzr.2026.02.014},
doi = {10.13543/j.bhxbzr.2026.02.014},
abstract = {We have studied the global existence of weak solutions for compressible Navier-Stokes/Allen-Cahn (NSAC) systems with slip boundary conditions, which describe the flow of immiscible two-phase flow with diffusion interfaces. Under the conditions of limited initial energy and adiabatic constant γ > 2, the global existence of weak solutions for initial boundary value problems with Navier-slip boundary conditions is proved using the Faedo-Galerkin approximation and a weak convergence limit.}
}