Interactions between particles and fluid

Interactions between Partial Differential Equations & Functional Inequalities

08 September 16:00 - 17:00

Young-Pil Choi - Technische Universität München

The interactions between particles and fluid have received a bulk of attention due to a number of their applications in the field of, for example, biotechnol-ogy, medicine, and in the study of sedimentation phenomenon, compressibility of droplets of the spray, cooling tower plumes, and diesel engines, etc. In this talk, we present coupled kinetic-fluid equations. The proposed equations consist of Vlasov-Fokker-Planck equation with local alignment forces and the incom-pressible Navier-Stokes equations. For the equations, we establish the global existence of weak solutions, hydrodynamic limit, and large-time behavior of solutions. We also remark on blow-up of classical solutions in the whole space.
José A. Carrillo
Imperial College London
Ivan Gentil
Institut Camille Jordan
Helge Holden
NTNU - Norwegian University of Science and Technology
Cédric Villani
Institut Henri Poincaré (IHP)
Boguslaw Zegarlinski
Imperial College London


José A. Carrillo


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