Geodesic
Incompressible limit of a fluid-particle interaction model
Applications of Mathematics, Tome 66 (2021) no. 1, pp. 69-86 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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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.
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.
DOI : 10.21136/AM.2020.0253-19
Classification : 35B25, 35G25, 35Q35
Keywords: incompressible limit; relative entropy method; fluid-particle interaction model; incompressible Navier-Stokes equation 
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Wang, Hongli; Yang, Jianwei. Incompressible limit of a fluid-particle interaction model. Applications of Mathematics, Tome 66 (2021) no. 1, pp. 69-86. doi: 10.21136/AM.2020.0253-19

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