Diffusion-approximation for a kinetic spray-like system with random forcing
Analysis of PDEs
2020-05-20 v1 Probability
Abstract
We study a kinetic toy model for a spray of particles immersed in an ambient fluid, subject to some additional random forcing given by a mixing, space-dependent Markov process. Using the perturbed test function method, we derive the hydrodynamic limit of the kinetic system. The law of the limiting density satisfies a stochastic conservation equation in Stratonovich form, whose drift and diffusion coefficients are completely determined by the law of the stationary process associated with the Markovian perturbation.
Cite
@article{arxiv.2005.09374,
title = {Diffusion-approximation for a kinetic spray-like system with random forcing},
author = {Arnaud Debussche and Angelo Rosello and Julien Vovelle},
journal= {arXiv preprint arXiv:2005.09374},
year = {2020}
}