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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.PR2024
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…
math.PR2024
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…