Diffusion-approximation in stochastically forced kinetic equations

DOI10.2140/tunis.2021.3.1zbMath1442.35286arXiv1707.07874OpenAlexW2791173629MaRDI QIDQ776173

Arnaud Debussche, Julien Vovelle

Publication date: 30 June 2020

Published in: Tunisian Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1707.07874

zbMATH Keywords

kinetic equationhydrodynamic limitdiffusion-approximation

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Stochastic partial differential equations (aspects of stochastic analysis) (60H15) PDEs with randomness, stochastic partial differential equations (35R60) Vlasov equations (35Q83) Boltzmann equations (35Q20) Fokker-Planck equations (35Q84)

Related Items (6)

Convergence of transport noise to Ornstein-Uhlenbeck for 2D Euler equations under the enstrophy measure ⋮ Asymptotic behavior of a class of multiple time scales stochastic kinetic equations ⋮ Quasilinear rough partial differential equations with transport noise ⋮ Diffusion-approximation for a kinetic equation with perturbed velocity redistribution process ⋮ Diffusion regime with a high and oscillating field ⋮ Diffusion-approximation for a kinetic spray-like system with random forcing

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