Diffusion-approximation in stochastically forced kinetic equations
نویسندگان
چکیده
We derive the hydrodynamic limit of a kinetic equation where interactions in velocity are modelled by linear operator (Fokker-Planck or Linear Boltzmann) and force Vlasov term is stochastic process with high amplitude short-range correlation. In scales regime we consider, scalar second-order partial differential equation. Compared to deterministic case, also observe phenomenon enhanced diffusion.
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ژورنال
عنوان ژورنال: Tunisian journal of mathematics
سال: 2021
ISSN: ['2576-7666', '2576-7658']
DOI: https://doi.org/10.2140/tunis.2021.3.1