Barbato, David; Bessaih, Hakima; Ferrario, Benedetta - In: Stochastic Processes and their Applications 124 (2014) 1, pp. 199-219
We deal with the 3D inviscid Leray-α model. The well posedness for this problem is not known; by adding a random perturbation we prove that there exists a unique (in law) global solution. The random forcing term formally preserves conservation of energy. The result holds for the initial...