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
收藏
页码：1525 / 1537
页数：13
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