3 papers
math-ph2025
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…
math-ph2025
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…
math.DS2025
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…