arXiv subjects

Chandana Wijeratne

Publications and source records attributed to Chandana Wijeratne.

2 recordsLinked to original sources

arXiv2017

On Stochastic Shell Models of Turbulence

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.

math.PR↗

arXiv2011

An integrodifferential equation driven by fractional Brownian motion

This paper deals with the well posedness of an integrodifferential equation that describes a vortex filament associated to a 3D turbulent fluid flow. This equation is driven by a fractional Brownian motion of Hurst parameter H>1/2. We prove global existence and uniqueness of solutions in a functional space of Sobolev type.

math.PR↗