3.7k citations · 10.3k across the 196 of their papers we have counts for
10 papers · 1 filter
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…
Data assimilation for a quasi-geostrophic model with circulation-preserving stochastic transport noise
Colin Cotter, Dan Crisan, Darryl Holm +2
This paper contains the latest installment of the authors' project on developing ensemble based data assimilation methodology for high dimensional fluid dynamics models. The algori…
Perspectives on the Formation of Peakons in the Stochastic Camassa-Holm Equation
Thomas M. Bendall, Colin J. Cotter, Darryl D. Holm
A famous feature of the Camassa-Holm equation is its admission of peaked soliton solutions known as peakons. We investigate this equation under the influence of stochastic transpor…
Modelling the climate and weather of a 2D Lagrangian-averaged Euler-Boussinesq equation with transport noise
Diego Alonso-Oran, Aythami Bethencourt de Leon, Darryl Holm +1
The prediction of climate change and its impact on extreme weather events is one of the great societal and intellectual challenges of our time. The first part of the problem is to…
Lagrangian averaged stochastic advection by Lie transport for fluids
Theodore D. Drivas, Darryl D. Holm, James-Michael Leahy
We formulate a class of stochastic partial differential equations based on Kelvin's circulation theorem for ideal fluids. In these models, the velocity field is randomly transporte…