5 papers
Uniform-in-time propagation of chaos for singular interaction kernels with rates
Nicoleta Cazacu, Alexandre Richard, Milica Tomasevic
Based on a semigroup approach, we prove quantitative uniform-in-time propagation of chaos for two systems of interacting particles with singular interaction kernels of type $L^…
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…
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…
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…
Numerical approximation of the stochastic heat equation with a distributional reaction term
Ludovic Goudenège, El Mehdi Haress, Alexandre Richard
We study the numerical approximation of the stochastic heat equation with a distributional reaction term. Under a condition on the Besov regularity of the reaction term, it was pro…