8 citations · 9 across the 4 of their papers we have counts for
4 papers
Lagrangian averaging of singular stochastic actions for fluid dynamics
Theo Diamantakis, Ruiao Hu
We construct sub-grid scale models of incompressible fluids by considering expectations of semi-martingale Lagrangian particle trajectories. Our construction is based on the Lagran…
Variational closures for composite homogenised fluid flows
Theo Diamantakis, Ruiao Hu, James-Michael Leahy
Homogenisation theory has seen recent applications in deriving stochastic transport models for fluid dynamics. In this work, we first derive the stochastic Lagrange-to-Euler map th…
Lévy areas, Wong Zakai anomalies in diffusive limits of Deterministic Lagrangian Multi-Time Dynamics
Theo Diamantakis, James Woodfield
Stochastic modelling necessitates an interpretation of noise. In this paper, we describe the loss of deterministically stable behaviour in a fundamental fluid mechanics problem, co…
Variational Principles on Geometric Rough Paths and the Lévy Area Correction
Theo Diamantakis, Darryl D. Holm, Grigorios A. Pavliotis
In this paper, we describe two effects of the Lévy area correction on the invariant measure of stochastic rigid body dynamics on geometric rough paths. From the viewpoint of dynami…