| 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. This is a joint work with Dr. Feifan Teng. |
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