Spearheaded by the recent efforts to derive stochastic geophysical fluid dynamics models,
we present a general framework for introducing stochasticity into variational principles …

In recent works, beginning with [76], several stochastic geophysical fluid dynamics (SGFD)
models have been derived from variational principles. In this paper, we introduce a new …

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 …

Abstract Holm (Proc R Soc A Math Phys Eng Sci 471 (2176): 20140963, 2015) introduced a
variational framework for stochastically parametrising unresolved scales of hydrodynamic …

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 transported by white …

The present paper aims to establish the local well-posedness of Euler's fluid equations on
geometric rough paths. In particular, we consider the Euler equations for the incompressible …

In this paper, we propose a novel stochastic Lagrangian formulation of dissipatively
perturbed Lie transport, which is based on the statistical generalized Cauchy invariants …

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 …

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 make …

A generic approach to stochastic climate modelling is developed for the example of an
idealised Atmosphere-Ocean model that rests upon Hasselmann's paradigm for stochastic …