3 papers
math.PR2026
Quantitative approximation of the Vlasov(-Fokker-Planck)-Navier-Stokes system by stochastic particle systems
Ludovic Goudenège, Christian Olivera, Gabriela Planas +1
This paper is concerned with a fluid-particle system given by the incompressible Navier-Stokes equations coupled with the Vlasov(-Fokker-Planck) equation through a drag force. Such…
math.PR2025
Quantitative approximation of a Keller--Segel PDE by a branching moderately interacting particle system and suppression of blow-up
Thomas Cavallazzi, Alexandre Richard, Milica Tomasevic
The Keller--Segel PDE is a model for chemotaxis known to exhibit possible finite-time blow-up. Following a seminal work by Tello and Winkler, a logistic damping term is added in th…
math.PR2025
On the density of singular SDEs with fractional noise and applications to McKean-Vlasov equations
Lukas Anzeletti, Lucio Galeati, Alexandre Richard +1
We investigate properties of the (conditional) law of the solution to SDEs driven by fractional Brownian noise with a singular, possibly distributional, drift. Our results on the l…