On Stochastic Shell Models of Turbulence

2017/12/16 by Chandana Wijeratne, Wijeratne, Chandana
Economics, Econometrics and Finance · Engineering · Mathematics · #FOS: Mathematics #Fluid Dynamics and Turbulent Flows #Navier-Stokes equation solutions #Probability (math.PR) #Stochastic processes and financial applications #math.PR

paper · pdf · doi:10.48550/arxiv.1712.05887

arxiv created 2017/12/16 · openalex publication_date 2017/12/16 · arxiv updated 2017/12/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 ζ_p of the p-order structure functions.

Citations

• Uniqueness for a Stochastic Inviscid Dyadic Model

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