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

This paper is dedicated to study of the Cauchy problem for a multi-dimensional (N≥2\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$${N \geq 2}$$\end{document}) 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 Lp framework under the sole assumption that the initial liquid mass is bounded away from zero.