Applications of Mathematics, first online, pp. 1-18
Incompressible limit of a fluid-particle interaction model
Hongli Wang, Jianwei Yang
Received September 30, 2019. Published online November 27, 2020.
Abstract: 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.
Affiliations: Hongli Wang, School of Physics and Electronics, North China University of Water Resources and Electric Power, Zhengzhou 450045, Henan Province, P. R. China, e-mail: email@example.com, Jianwei Yang (corresponding author), School of Mathematics and Statistics, North China University of Water Resources and Electric Power, Zhengzhou 450045, Henan Province, P. R. China, firstname.lastname@example.org