Asymptotic Analysis for a Vlasov-Fokker-Planck/ Compressible Navier-Stokes System of Equations
Asymptotic Analysis for a Vlasov-Fokker-Planck/ Compressible Navier-Stokes System of Equations
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DOI：
10.1007/s00220-008-0523-4
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发表时间：
2008-06
影响因子：
2.4
通讯作者：
A. Mellet;A. Vasseur
中科院分区：
文献类型：
--
作者：
A. Mellet;A. Vasseur
本文对一个耦合的动力学和流体方程组，即Vlasov-Fokker-Planck方程和可压缩Navier-Stokes方程进行了渐近分析。例如，这种系统用于模拟喷雾、气溶胶或沉降问题中产生的流体-颗粒相互作用。研究了强拖曳力和强布朗运动的渐近状态，证明了其收敛于两相宏观模型。证明依赖于相对熵方法。
This article is devoted to the asymptotic analysis of a system of coupled kinetic and fluid equations, namely the Vlasov-Fokker-Planck equation and a compressible Navier-Stokes equation. Such a system is used, for example, to model fluid-particle interactions arising in sprays, aerosols or sedimentation problems. The asymptotic regime corresponding to a strong drag force and a strong Brownian motion is studied and the convergence toward a two phase macroscopic model is proved. The proof relies on a relative entropy method.