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Probabilistic representation of helicity in viscous fluids
Simon Hochgerner1 
1 Österreichische Finanzmarktaufsicht (FMA), Otto-Wagner Platz 5, A-1090 Vienna, Austria
Comptes Rendus. Mécanique, Volume 350 (2022), pp. 283-295.

It is shown that the helicity of three-dimensional viscous incompressible flow can be identified with the overall linking of the fluid’s initial vorticity to the expectation of a stochastic mean field limit. The relevant mean field limit is obtained by following the Lagrangian paths in the stochastic Hamiltonian interacting particle system of Hochgerner [S. Hochgerner, Proc. R. Soc. A 474 (2018) 20180178].

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DOI : 10.5802/crmeca.116
Mots clés : Navier–Stokes equations, Stochastic fluid mechanics, Hamiltonian mechanics, Helicity, Interacting particle systems
Simon Hochgerner 1

1 Österreichische Finanzmarktaufsicht (FMA), Otto-Wagner Platz 5, A-1090 Vienna, Austria
Licence : CC-BY 4.0
Droits d'auteur : Les auteurs conservent leurs droits 
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     year = {2022},
     doi = {10.5802/crmeca.116},
     language = {en},
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Simon Hochgerner. Probabilistic representation of helicity in viscous fluids. Comptes Rendus. Mécanique, Volume 350 (2022), pp. 283-295. doi : 10.5802/crmeca.116. https://comptes-rendus.academie-sciences.fr/mecanique/articles/10.5802/crmeca.116/

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