Some rigorous results on a stochastic GOY model Article

Barbato, D, Barsanti, M, Bessaih, H et al. (2006). Some rigorous results on a stochastic GOY model . 125(3), 673-712. 10.1007/s10955-006-9203-y

cited authors

  • Barbato, D; Barsanti, M; Bessaih, H; Flandoli, F

authors

abstract

  • A stochastic infinite dimensional version of the GOY model is rigorously investigated. Well posedness of strong solutions, existence and p-integrability of invariant measures is proved. Existence of solutions to the zero viscosity equation is also proved. With these preliminary results, the asymptotic exponents ζ p of the structure function are investigated. Necessary and sufficient conditions for ζ 22/3 and ζ 2=2/3 are given and discussed on the basis of numerical simulations. © Springer Science+Business Media, LLC 2006.

publication date

  • November 1, 2006

Digital Object Identifier (DOI)

start page

  • 673

end page

  • 712

volume

  • 125

issue

  • 3