Abstract
We derive the hydrodynamic limit of a kinetic equation where the interactions in velocity are modeled by a linear operator (Fokker–Planck or linear Boltzmann) and the force in the Vlasov term is a stochastic process with high amplitude and short-range correlation. In the scales and the regime we consider, the hydrodynamic equation is a scalar second-order stochastic partial differential equation. Compared to the deterministic case, we also observe a phenomenon of enhanced diffusion.
Citation
Arnaud Debussche. Julien Vovelle. "Diffusion-approximation in stochastically forced kinetic equations." Tunisian J. Math. 3 (1) 1 - 53, 2020. https://doi.org/10.2140/tunis.2021.3.1
Information