Abstract
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. Copyright © Taylor & Francis Group, LLC.
Original language | English |
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Pages (from-to) | 1349-1379 |
Journal | Communications in Partial Differential Equations |
Volume | 31 |
Issue number | 9 |
DOIs | |
Publication status | Published - 1 Sep 2006 |
Keywords
- Fluid-particles interaction
- Hydrodynamic limit
- Stability
- Vlasov-Euler system