We prove the existence of non-negative measure and H-1-valued vorticity solutions to the stochastic 2D Euler equations in the vorticity form with the transport type noise, starting from any non-negative vortex sheet. This extends the result by Delort (J. Amer.Math. Soc. 4(3), 553–586, 1991) to the stochastic case.
Existence for stochastic 2D Euler equations with positive $$H^{-1}$$ vorticity
Maurelli, Mario
2026-01-01
Abstract
We prove the existence of non-negative measure and H-1-valued vorticity solutions to the stochastic 2D Euler equations in the vorticity form with the transport type noise, starting from any non-negative vortex sheet. This extends the result by Delort (J. Amer.Math. Soc. 4(3), 553–586, 1991) to the stochastic case.File in questo prodotto:
Non ci sono file associati a questo prodotto.
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
