3.7k citations · 10.3k across the 196 of their papers we have counts for
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Wave-current interaction on a free surface
Dan Crisan, Darryl D. Holm, Oliver D. Street
The classic evolution equations for potential flow on the free surface of a fluid flow are not closed because the pressure and the vertical velocity dynamics are not specified on t…
The bohmion method in nonadiabatic quantum hydrodynamics
Darryl D. Holm, Jonathan I. Rawlinson, Cesare Tronci
Starting with the exact factorization of the molecular wavefunction, this paper presents the results from the numerical implementation in nonadiabatic molecular dynamics of the rec…
Stochastic effects of waves on currents in the ocean mixed layer
Darryl D. Holm, Ruiao Hu
This paper introduces an energy-preserving stochastic model for studying wave effects on currents in the ocean mixing layer. The model is called stochastic forcing by Lie transport…
Stochastic mesoscale circulation dynamics in the thermal ocean
Darryl D. Holm, Erwin Luesink, Wei Pan
In analogy with similar effects in adiabatic compressible fluid dynamics, the effects of buoyancy gradients on incompressible stratified flows are said to be `thermal'. The thermal…
Variational principles for fluid dynamics on rough paths
Dan Crisan, Darryl D. Holm, James-Michael Leahy +1
In this paper, we introduce a new framework for parametrization schemes (PS) in GFD. Using the theory of controlled rough paths, we derive a class of rough geophysical fluid dynami…
Stochastic Variational Formulations of Fluid Wave-Current Interaction
Darryl D Holm
We are modelling multi-scale, multi-physics uncertainty in wave-current interaction (WCI). To model uncertainty in WCI, we introduce stochasticity into the wave dynamics of two cla…