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We establish energy-balance for weak solutions of the stochastically forcedincompressible Euler equations, enjoying H\"older regularity $C^{\alpha}$,$\alpha>1/3$. It is well known as the Onsager's conjecture for thedeterministic incompressible Euler equations, which describes the energyconservation of weak solutions having H\"older regularity $C^{\alpha}$,$\alpha>1/3$. Additionally, we obtain energy-balance for the inhomogeneousincompressible Euler system driven by a cylindrical Wiener process.

Energy-balance for the incompressible Euler equations with stochastic forcing