The global existence and uniqueness of smooth solutions to a fluid-particle interaction model in the flowing regime

被引：0

作者：

Zheng, Lin ^{[1
]}

Wang, Shu ^{[2
]}

机构：

[1] North China Univ Water Resources & Elect Power, Coll Math & Stat, Zhengzhou 450046, Peoples R China

[2] Beijing Univ Technol, Sch Math Stat & Mech, Beijing 100124, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2024年 / 44卷 / 05期

关键词：

fluid-particle; flowing regime; global existence; EQUATIONS;

D O I：

10.1007/s10473-024-0513-4

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the Cauchy problem for a 3D fluid-particle interaction model in the so-called flowing regime in & Ropf;3. Under the smallness assumption on both the external potential and the initial perturbation of the stationary solution in some Sobolev spaces, the existence and uniqueness of global smooth solutions in H3 of the system are established by using the careful energy method.

引用

页码：1877 / 1885

页数：9

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