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math.AP2025
On Uniqueness For The Three-Dimensional Vlasov-Navier-Stokes System
D Han-Kwan, É Miot, A Moussa +1
We study the problem of uniqueness of Leray solutions to the three-dimensional Vlasov-Navier-Stokes system. We establish uniqueness whenever the fluid velocity field belongs to the…
math.AP2019
The vortex-wave system with gyroscopic effects
Christophe Lacave, Évelyne Miot
In this paper, we study the well-posedness for a coupled PDE/ODE system describing the interaction of several massive point vortices moving within a vorticity backgound in a 2D ide…
math.AP2017
Uniqueness of the solution to the 2D Vlasov-Navier-Stokes system
Daniel Han-Kwan, Évelyne Miot, Ayman Moussa +1
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…