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On a stochastic Leray-α model of Euler equations

Author

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  • Barbato, David
  • Bessaih, Hakima
  • Ferrario, Benedetta

Abstract

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.

Suggested Citation

  • Barbato, David & Bessaih, Hakima & Ferrario, Benedetta, 2014. "On a stochastic Leray-α model of Euler equations," Stochastic Processes and their Applications, Elsevier, vol. 124(1), pages 199-219.
    • Handle: RePEc:eee:spapps:v:124:y:2014:i:1:p:199-219
    DOI: 10.1016/j.spa.2013.07.002
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    References listed on IDEAS

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    1. Flandoli, F. & Gubinelli, M. & Priola, E., 2011. "Full well-posedness of point vortex dynamics corresponding to stochastic 2D Euler equations," Stochastic Processes and their Applications, Elsevier, vol. 121(7), pages 1445-1463, July.
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