Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model
Stability and Asymptotic Analysis of a Fluid-Particle Interaction Model
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DOI：
10.1080/03605300500394389
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发表时间：
2006-09
影响因子：
1.9
通讯作者：
J. Carrillo;T. Goudon
中科院分区：
文献类型：
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作者：
J. Carrillo;T. Goudon
我们对描述分散在流体中的颗粒演化的微观/宏观耦合模型感兴趣。该系统由弗拉索夫-福克-普朗克方程组成，用于描述与可压缩流体的欧拉方程耦合的粒子的微观运动。我们研究耗散量、平衡及其稳定性特性以及外力的作用。我们还研究了一些渐近问题、它们的平衡性和稳定性以及宏观两相模型的推导。
We are interested in coupled microscopic/macroscopic models describing the evolution of particles dispersed in a fluid. The system consists in a Vlasov–Fokker–Planck equation to describe the microscopic motion of the particles coupled to the Euler equations for a compressible fluid. We investigate dissipative quantities, equilibria and their stability properties and the role of external forces. We also study some asymptotic problems, their equilibria and stability and the derivation of macroscopic two-phase models.