Global strong solution to the inviscid liquid-gas two-phase flow model in Lp framework

Abstract

This paper is dedicated to the study of the inviscid liquid-gas two-phase flow model in $R^d(d\ge 1)$. We investigate the global existence of strong solutions to the Cauchy problem in the $L^p$ critical regularity framework by constructing local solution and the a priori estimate. Additionally, by establishing Lyapunov energy functional, we obtain the decay estimates of solutions in $L^p$-norms without additional smallness assumptions on the initial data.