57 citations · 266 across the 32 of their papers we have counts for
8 papers · 1 filter
Convergence of the stochastic Navier-Stokes- solutions toward the stochastic Navier-Stokes solutions
Jad Doghman, Ludovic Goudenège
Loosely speaking, the Navier-Stokes- model and the Navier-Stokes equations differ by a spatial filtration parametrized by a scale denoted . Starting from a strong two-dimensi…
Ergodicity of stochastic Cahn-Hilliard equations with logarithmic potentials driven by degenerate or nondegenerate noises
Ludovic Goudenège, Bin Xie
We study the asymptotic properties of the stochastic Cahn-Hilliard equation with the logarithmic free energy by establishing different dimension-free Harnack inequalities according…
Numerical methods for piecewise deterministic Markov processes with boundary
Ludovic Goudenège
In this paper is described the general aspect of a numerical method for piecewise determin-istic Markov processes with boundary. Under very natural hypotheses, a crucial result abo…
Statistical and probabilistic modeling of a cloud of particles coupled with a turbulent fluid
Ludovic Goudenège, Adam Larat, Julie Llobell +4
This paper exposes a novel exploratory formalism, which end goal is the numerical simulation of the dynamics of a cloud of particles weakly or strongly coupled with a turbulent flu…
Analysis and simulation of rare events for SPDE
Charles-Edouard Bréhier, Maxime Gazeau, Ludovic Goudenège +1
In this work, we consider the numerical estimation of the probability for a stochastic process to hit a set B before reaching another set A. This event is assumed to be rare. We co…
High order finite element calculations for the deterministic Cahn-Hilliard equation
Ludovic Goudenège, Daniel Martin, Grégory Vial
In this work, we propose a numerical method based on high degree continuous nodal elements for the Cahn-Hilliard evolution. The use of the p-version of the finite element method pr…
Stochastic Cahn-Hilliard equation with double singular nonlinearities and two reflections
Arnaud Debussche, Ludovic Goudenège
We consider a stochastic partial differential equation with two logarithmic nonlinearities, with two reflections at 1 and -1 and with a constraint of conservation of the space aver…
Stochastic Cahn-Hilliard equation with singular nonlinearity and reflection
Ludovic Goudenège
We consider a stochastic partial differential equation with logarithmic (or negative power) nonlinearity, with one reflection at 0 and with a constraint of conservation of the spac…