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

丁时进; 黄丙远; 黎泉荣

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

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

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《数学物理学报：B辑英文版》 |2019年第6期|1525-1537|共13页
作者
丁时进; 黄丙远; 黎泉荣;
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作者单位

South China Research Center for Applied Mathematics and Interdisciplinary Studies;

School of Mathematical Sciences;

South China Normal University;

Guangzhou 510631;

China;

School of Mathematics and Statistics;

Hanshan Normal University;

Chaozhou 521041;

China;

College of Mathematics and Statistics;

Shenzhen University;

Shenzhen 518060;

China;

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原文格式 PDF
正文语种 chi
中图分类数学分析;
关键词
compressible; Navier-Stokes-Smoluchowski; global; classical; solutions; optimal; decay; rates;

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

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