57 citations · 266 across the 32 of their papers we have counts for
8 papers · 1 filter
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…
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…
Numerical approximation of SDEs with fractional noise and distributional drift
Ludovic Goudenège, El Mehdi Haress, Alexandre Richard
We study the numerical approximation of SDEs with singular drifts (including distributions) driven by a fractional Brownian motion. Under the Catellier-Gubinelli condition that imp…
-Navier-Stokes equation perturbed by space-time noise of trace class
Ludovic Goudenège, Luigi Manca
We consider a stochastic perturbation of the -Navier-Stokes model. The stochastic perturbation is an additive space-time noise of trace class. Under a natural condition about th…
Stochastic phase field -Navier-Stokes vesicle-fluid interaction model
Ludovic Goudenège, Luigi Manca
We consider a stochastic perturbation of the phase field alpha-Navier-Stokes model with vesicle-fluid interaction. It consists in a system of nonlinear evolution partial differenti…
Central Limit Theorem for Adaptative Multilevel Splitting Estimators in an Idealized Setting
Charles-Edouard Bréhier, Ludovic Goudenège, Loic Tudela
The Adaptive Multilevel Splitting algorithm is a very powerful and versatile iterative method to estimate the probability of rare events, based on an interacting particle systems.…
Asymptotic properties of stochastic Cahn-Hilliard equation with singular nonlinearity and degenerate noise
Ludovic Goudenège, Luigi Manca
We consider a stochastic partial differential equation with a logarithmic nonlinearity with singularities at and and a constraint of conservation of the space average. The…
A Wright-Fisher model with indirect selection
Ludovic Goudenège, Pierre-André Zitt
We study a generalization of the Wright--Fisher model in which some individuals adopt a behavior that is harmful to others without any direct advantage for themselves. This model i…