On the well-posedness for a multi-dimensional compressible viscous liquid-gas two-phase flow model in critical spaces

摘要

This paper is dedicated to study of the Cauchy problem for a multi-dimensional () compressible viscous liquid-gas two-phase flow model. We prove the local well-posedness of the system for large data in critical Besov spaces based on the L (p) framework under the sole assumption that the initial liquid mass is bounded away from zero.