On a stochastic Leray-α model of Euler equations

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 velocity of finite energy and the solution has finite energy a.s. These results continue to hold in the 2D case.

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Year of publication:	2014
Authors:	Barbato, David ; Bessaih, Hakima ; Ferrario, Benedetta
Published in:	Stochastic Processes and their Applications. - Elsevier, ISSN 0304-4149. - Vol. 124.2014, 1, p. 199-219
Publisher:	Elsevier
Subject:	Inviscid Leray-α models \| Euler equations \| Multiplicative noise \| Uniqueness in law \| Stratonovich integral \| Girsanov formula

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Type of publication:	Article
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10011064935