In this chapter, we present the Cucker–Smale-type flocking models and discuss their
mathematical structures and flocking theorems in terms of coupling strength, interaction …

In this paper, we prove the local in time well-posedness of thick spray equations in Sobolev
spaces, for initial data satisfying a Penrose-type stability condition. This system is a coupling …

We introduce a framework to justify hydrodynamic limits of the Vlasov-Navier-Stokes system.
We specifically study high friction regimes, which take into account the fact that particles of …

We study the large time behavior of Fujita–Kato type solutions to the Vlasov–Navier–Stokes
system set on T^ 3 * R^ 3 T 3× R 3. Under the assumption that the initial so-called modulated …

We study an asymptotic analysis of a coupled system of kinetic and fluid equations. More
precisely, we deal with the nonlinear Vlasov–Fokker–Planck equation coupled with the …

We study the large time behaviour of small data solutions to the Vlasov–Navier–Stokes
system set on ${\Omega}{\times}{\mathbb {R}}^{3} $, for a smooth bounded domain Ω of …

We study the large-time behavior of small-data solutions to the Vlasov–Navier–Stokes
system on ℝ 3× ℝ 3. We prove that the kinetic distribution function concentrates in velocity to …

We present a new hydrodynamic model consisting of the pressureless Euler equations and
the isentropic compressible Navier–Stokes equations where the coupling of two systems is …

Sprays are complex flows constituted of dispersed particles in an underlying gas. In this
paper, we are interested in the equations for moderately thick sprays consisting of the …

We prove a uniqueness result for weak solutions to the Vlasov–Navier–Stokes system in two
dimensions, both in the whole space and in the periodic case, under a mild decay condition …