On a stochastic Leray-α model of Euler equations Article

Barbato, D, Bessaih, H, Ferrario, B. (2014). On a stochastic Leray-α model of Euler equations . 124(1), 199-219. 10.1016/j.spa.2013.07.002

cited authors

  • Barbato, D; Bessaih, H; Ferrario, B

authors

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. © 2013 Elsevier B.V. All rights reserved.

publication date

  • January 1, 2014

Digital Object Identifier (DOI)

start page

  • 199

end page

  • 219

volume

  • 124

issue

  • 1