GLOBAL EXISTENCE AND DECAY ESTIMATES FOR THE CLASSICAL SOLUTIONS TO A COMPRESSIBLE FLUID-PARTICLE INTERACTION MODEL

被引：4

作者：

Ding, Shijin ^{[1
]}

Huang, Bingyuan ^{[2
]}

Li, Quanrong ^{[3
]}

机构：

[1] South China Normal Univ, Sch Math Sci, South China Res Ctr Appl Math & Interdisciplinary, Guangzhou 510631, Guangdong, Peoples R China

[2] Hanshan Normal Univ, Sch Math & Stat, Chaozhou 521041, Peoples R China

[3] Shenzhen Univ, Coll Math & Stat, Shenzhen 518060, Peoples R China

来源：

ACTA MATHEMATICA SCIENTIA | 2019年 / 39卷 / 06期

基金：

中国国家自然科学基金;

关键词：

compressible Navier-Stokes-Smoluchowski; global classical solutions; optimal decay rates; NAVIER-STOKES EQUATIONS; MOTION;

D O I：

10.1007/s10473-019-0605-8

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We prove the global existence of classical solutions to a fluid-particle interaction model in Double-struck capital R-3, namely, compressible Navier-Stokes-Smoluchowski equations, when the initial data are close to the stationary state (rho(*), 0, eta(*)) and the external potential satisfies the smallness assumption. Furthermore, optimal decay rates of classical solutions in H-3-framework are obtained.

引用

页码：1525 / 1537

页数：13

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