16 citations · 46 across the 30 of their papers we have counts for
38 papers
Euler-Lagrangian approach to stochastic Euler equations in Sobolev Spaces
Juan Londoño, Christian Olivera
The purpose of this paper is to establish the equivalence between Lagrangian and classical formulations for the stochastic incompressible Euler equations, the proof is based in Ito…
From Stochastic Hamiltonian Systems to Stochastic Compressible Euler Equation
Jesus Correa, Christian Olivera
We study a stochastic Hamiltonian system of particles with many particles interacting through a potential whose range is large in comparison with the typical distance between n…
Stochastic transport equations with unbounded divergence
Wladimir Neves, Christian Olivera
We study in this article the existence and uniqueness of solutions to a class of stochastic transport equations with irregular coefficients and unbounded divergence. In the first r…
Quantitative particle approximation of nonlinear Fokker-Planck equations with singular kernel
Christian Olivera, Alexandre Richard, Milica Tomasevic
In this work, we study the convergence of the empirical measure of moderately interacting particle systems with singular interaction kernels. First, we prove quantitative convergen…
Quantitative approximation of the Burgers and Keller-Segel equations by moderately interacting particles
Christian Olivera, Alexandre Richard, Milica Tomasevic
In this work we obtain rates of convergence for two moderately interacting stochastic particle systems with singular kernels associated to the viscous Burgers and Keller-Segel equa…
Uniform approximation of 2 Navier-Stokes equation by stochastic interacting particle systems
Franco Flandoli, Christian Olivera, Marielle Simon
We consider an interacting particle system modeled as a system of stochastic differential equations driven by Brownian motions. We prove that the (mollified) empirical process…