caa a22 4500 467893039 CHVBK 20180406152754.0 cr unu---uuuuu 170328e20061101xx s 000 0 eng 10.1007/s10955-006-9203-y doi (NATIONALLICENCE)springer-10.1007/s10955-006-9203-y Some Rigorous Results on a Stochastic GOY Model [Elektronische Daten] [D. Barbato, M. Barsanti, H. Bessaih, F. Flandoli] 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 ζp of the structure function are investigated. Necessary and sufficient conditions for ζ2≥ 2/3 and ζ2=2/3 are given and discussed on the basis of numerical simulations. Springer Science+Business Media, LLC, 2006 stochastic GOY model nationallicence invariant measures nationallicence structure function nationallicence asymptotic exponents nationallicence Barbato D. National Institute of Geophysics and Volcanology, Pisa, Italy aut Barsanti M. Dipartimento di Matematica Applicata, Università di Pisa, Pisa, Italy aut Bessaih H. Department of Mathematics, University of Wyoming, Laramie, Wyoming aut Flandoli F. Dipartimento di Matematica Applicata, Università di Pisa, Pisa, Italy aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 677-716 0022-4715 125:3<677 2006 125 10955 https://doi.org/10.1007/s10955-006-9203-y text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9203-y text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- Barbato D. National Institute of Geophysics and Volcanology, Pisa, Italy aut NATIONALLICENCE 700 1- Barsanti M. Dipartimento di Matematica Applicata, Università di Pisa, Pisa, Italy aut NATIONALLICENCE 700 1- Bessaih H. Department of Mathematics, University of Wyoming, Laramie, Wyoming aut NATIONALLICENCE 700 1- Flandoli F. Dipartimento di Matematica Applicata, Università di Pisa, Pisa, Italy aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 125/3(2006-11-01), 677-716 0022-4715 125:3<677 2006 125 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer