Time decay estimates of solutions to a two-phase flow model in the whole space

被引：0

作者：

Wu, Yakui ^{[3
]}

Wu, Qiong ^{[3
]}

Zhang, Yue ^{[1
,2
]}

机构：

[1] Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China

[2] Capital Normal Univ, Acad Multidisciplinary Studies, Beijing 100048, Peoples R China

[3] Jiujiang Univ, Coll Sci, Jiujiang 332005, Jiangxi, Peoples R China

来源：

ADVANCES IN NONLINEAR ANALYSIS | 2024年 / 13卷 / 01期

基金：

中国国家自然科学基金;

关键词：

two-phase flow model; Navier-Stokes equations; negative Sobolev space; decay rate; NAVIER-STOKES EQUATIONS; BOUNDARY-VALUE-PROBLEMS; HYPERBOLIC-PARABOLIC-SYSTEMS; EULER EQUATIONS; ASYMPTOTIC-BEHAVIOR; GLOBAL EXISTENCE; HALF-SPACE; WAVE; STABILITY; MOTION;

D O I：

10.1515/anona-2024-0037

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this article, we aim to establish the optimal time decay rates of strong solutions to a two-phase flow model derived from a type of coupled fluid-kinetic equation. It is proved that the strong solutions converge to the given constant states with algebraic time decay rates under some additional assumptions on the initial data.

引用

页数：19

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