Heat diffusion in a channel under white noise modeling of turbulence

Autor: Franco Flandoli, Eliseo Luongo
Jazyk: angličtina
Rok vydání: 2022
Předmět:
Zdroj: Mathematics in Engineering, Vol 4, Iss 4, Pp 1-21 (2022)
Druh dokumentu: article
ISSN: 2640-3501
DOI: 10.3934/mine.2022034?viewType=HTML
Popis: A passive scalar equation for the heat diffusion and transport in an infinite channel is studied. The velocity field is white noise in time, modelling phenomenologically a turbulent fluid. Under the driving effect of a heat source, the phenomenon of eddy dissipation is investigated: the solution is close, in a weak sense, to the stationary deterministic solution of the heat equation with augmented diffusion coefficients.
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