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Existence for stochastic 2D Euler equations with positive $H^{-1}$ vorticity
Published 27 Jun 2019 in math.PR, math-ph, math.AP, and math.MP | (1906.11523v2)
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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