3 papers
physics.flu-dyn2020
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…
physics.flu-dyn2019
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…
math.PR2019
Implications of Kunita-Itô-Wentzell formula for -forms in stochastic fluid dynamics
Aythami Bethencourt de Léon, Darryl Holm, Erwin Luesink +1
We extend the Itô-Wentzell formula for the evolution of a time-dependent stochastic field along a semimartingale to -form-valued stochastic processes. The result is the Kunita-I…