Incompressible Limit of a Fluid-Particle Interaction Model

被引：0
|
作者：
Hongli Wang
Jianwei Yang
机构：
[1] North China University of Water Resources and Electric Power,School of Physics and Electronics
[2] North China University of Water Resources and Electric Power,School of Mathematics and Statistics
来源：
Applications of Mathematics | 2021年 / 66卷
关键词：
incompressible limit; relative entropy method; fluid-particle interaction model; incompressible Navier-Stokes equation; 35B25; 35G25; 35Q35;
D O I：
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中图分类号：
学科分类号：
摘要：
The incompressible limit of the weak solutions to a fluid-particle interaction model is studied in this paper. By using the relative entropy method and refined energy analysis, we show that, for well-prepared initial data, the weak solutions of the compressible fluid-particle interaction model converge to the strong solution of the incompressible Navier-Stokes equations as long as the Mach number goes to zero. Furthermore, the desired convergence rates are also obtained.
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页码：69 / 86
页数：17
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