Global strong solution to the inviscid liquid-gas two-phase flow model in $L^p$ framework

Abstract

This paper is dedicated to the study of the inviscid liquid-gas two-phase flow model in ${\mathbb{R}}^d(d\ge 1)$. We establish the global existence of strong solutions to this system with small initial data in hybrid Besov spaces based on general $L^p$-norms. Additionally, we obtain the decay estimates of solutions rely on the constructed Lyapunov functional.