Existence for stochastic 2D Euler equations with positive $H^{-1}$ vorticity

Abstract

We prove the existence of non-negative measure- and $H^{-1}$-valued vorticity solutions to the stochastic 2D Euler equations with transport vorticity noise, starting from any non-negative vortex sheet. This extends the result by Delort (J.Amer.Math.Soc. 1991) to the stochastic case.

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Cited by in corpus (2)

• The Mean-Field Limit of Stochastic Point Vortex Systems with Multiplicative Noise
• Dissipation enhancement by transport noise for stochastic $p$-Laplace equations