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

Fuente: arXiv
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Autori principali: Wu, Zhigang, Liu, Mengqian, Cai, Juanzi
Natura: Preprint
Pubblicazione: 2024
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author Wu, Zhigang
Liu, Mengqian
Cai, Juanzi
author_facet Wu, Zhigang
Liu, Mengqian
Cai, Juanzi
contents This paper is dedicated to the study of the inviscid liquid-gas two-phase flow model in $\mathbb{R}^d\ (d\geq1)$. 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.
format Preprint
id arxiv_https___arxiv_org_abs_2404_04836
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Global strong solution to the inviscid liquid-gas two-phase flow model in $L^p$ framework
Wu, Zhigang
Liu, Mengqian
Cai, Juanzi
Analysis of PDEs
35A09, 35B40, 35Q35
This paper is dedicated to the study of the inviscid liquid-gas two-phase flow model in $\mathbb{R}^d\ (d\geq1)$. 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.
title Global strong solution to the inviscid liquid-gas two-phase flow model in $L^p$ framework
topic Analysis of PDEs
35A09, 35B40, 35Q35
url https://arxiv.org/abs/2404.04836