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Stochastic Modelling in Fluid Dynamics: Itô vs Stratonovich
Darryl D. Holm
Suppose the observations of Lagrangian trajectories for fluid flow in some physical situation can be modelled sufficiently accurately by a spatially correlated Itô stochastic proce…
Stochastic wave-current interaction in thermal shallow water dynamics
Darryl D Holm, Erwin Luesink
Holm (Proc. Roy. Soc 2015) introduced a variational framework for stochastically parametrising unresolved scales of hydrodynamic motion. This variational framework preserves fundam…
Stochastic Closures for Wave--Current Interaction Dynamics
Darryl D. Holm
Wave--current interaction (WCI) dynamics energizes and mixes the ocean thermocline by producing a combination of Langmuir circulation, internal waves and turbulent shear flows, whi…
A Geometric Diffuse-Interface Method for Droplet Spreading
Darryl D. Holm, Lennon Ó Náraigh, Cesare Tronci
This paper exploits the theory of geometric gradient flows to introduce an alternative regularization of the thin-film equation. The solution properties of this regularization are…