English

On Stochastic Shell Models of Turbulence

Probability 2017-12-19 v1

Abstract

We prove existence of weak and strong solutions and uniqueness for a viscous dyadic model driven by additive white noise in time using a path-wise approach. Existence of invariant measures also established and a simple balance relation among the mean rates of energy injection, dissipation and flux is derived and we investigate the asymptotic exponents ζp\zeta_{p} of the pp-order structure functions.

Keywords

Cite

@article{arxiv.1712.05887,
  title  = {On Stochastic Shell Models of Turbulence},
  author = {Chandana Wijeratne},
  journal= {arXiv preprint arXiv:1712.05887},
  year   = {2017}
}
R2 v1 2026-06-22T23:19:56.877Z