3 citations · 4 across the 5 of their papers we have counts for
5 papers
Invariant Measures for a Stochastic Fokker-Planck Equation
Sylvain De Moor, Julien Vovelle, Luis Miguel Rodrigues
We study the kinetic Fokker-Planck equation perturbed by a stochastic Vlasov force term. When the noise intensity is not too large, we solve the Cauchy Problem in a class of well-l…
Diffusion limit for the radiative transfer equation perturbed by a Markovian process
Arnaud Debussche, Sylvain De Moor, Julien Vovelle
We study the stochastic diffusive limit of a kinetic radiative transfer equation, which is non-linear, involving a small parameter and perturbed by a smooth random term. Under an a…
Diffusion limit for the radiative transfer equation perturbed by a Wiener process
Arnaud Debussche, Sylvain De Moor, Julien Vovelle
The aim of this paper is the rigorous derivation of a stochastic non-linear diffusion equation from a radiative transfer equation perturbed with a random noise. The proof of the co…
A regularity result for quasilinear stochastic partial differential equations of parabolic type
Arnaud Debussche, Sylvain De Moor, Martina Hofmanova
We consider a quasilinear parabolic stochastic partial differential equation driven by a multiplicative noise and study regularity properties of its weak solution satisfying classi…
Fractional diffusion limit for a stochastic kinetic equation
Sylvain De Moor
We study the stochastic fractional diffusive limit of a kinetic equation involving a small parameter and perturbed by a smooth random term. Generalizing the method of perturbed tes…