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arXiv · 2510.13463

Eddy viscosity by L\'evy transport noises

Dejun Luo·Feifan Teng
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Abstract

We consider stochastic 2D Euler equations with $L^2$-initial vorticity and driven by L\'evy transport noise in the Marcus sense. Under a suitable scaling limit of the noises, we prove that the weak solutions converge weakly to the unique solution of the deterministic 2D Navier-Stokes equation. This shows that small scale jump noises generate eddy viscosity, extending the recent studies on It\^o-Stratonovich diffusion limit to discontinuous setting.

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Dejun Luo, Feifan Teng. 2025-10-15. Eddy viscosity by L\'evy transport noises. https://arxiv.org/abs/2510.13463

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