Journal
COMMUNICATIONS IN PARTIAL DIFFERENTIAL EQUATIONS
Volume 31, Issue 9, Pages 1349-1379Publisher
TAYLOR & FRANCIS INC
DOI: 10.1080/03605300500394389
Keywords
fluid-particles interaction; hydrodynamic limit, stability; Vlasov-Euler system
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Funding
- ICREA Funding Source: Custom
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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.
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