@article{Zhao2026, 
author = {Yixuan Zhao and Shuzhen Zhang},
title = {Zero dissipation limit to rarefaction waves with a vacuum for one-dimensional viscous compressible two-phase flows},
year = {2026},
journal = {Electronic Research Archive},
volume = {34},
number = {4},
pages = {2157-2177},
keywords = {two-phase flow, zero dissipation limit, compressible Navier-Stokes equation, rarefaction wave, vacuum},
url = {https://www.sciopen.com/article/10.3934/era.2026097},
doi = {10.3934/era.2026097},
abstract = {We are concerned with the zero dissipation limit to rarefaction waves with vacuum for a non-conservative viscous compressible two-fluid system in one dimension. In this paper, given a rarefaction wave with one-side vacuum state, we establish the existence of a solution sequence for the system that approaches this rarefaction wave with vacuum as viscosity vanishes and we derive a uniform convergence rate for this approximation. The result is proved by a scaling argument and an energy method.}
}