Well-posedness and blow-up criterion for strong solutions of the compressible Navier-Stokes/Allen-Cahn system with vacuum

Yinghua Li, Haoran Zheng, Junquan Zhou

This paper is devoted to the study of strong solutions for the compressible Navier-Stokes/Allen-Cahn system in bounded domain $\Omega \subset {\mathbb{R}}^3$, allowing for the presence of in…