133 citations · 631 across the 63 of their papers we have counts for
12 papers · 1 filter
On the Navier-Stokes Equations with Stochastic Lie Transport
Daniel Goodair, Dan Crisan
We prove the existence and uniqueness of maximal solutions to the 3D SALT (Stochastic Advection by Lie Transport, [Holm arXiv:1410.8311]) Navier-Stokes Equation in velocity and vor…
Existence and Uniqueness of Maximal Solutions to SPDEs with Applications to Viscous Fluid Equations
Daniel Goodair, Dan Crisan, Oana Lang
We present two criteria to conclude that a stochastic partial differential equation (SPDE) posseses a unique maximal strong solution. This paper provides the full details of the ab…
Spatial analyticity and exponential decay of Fourier modes for the stochastic Navier-Stokes equation
Dan Crisan, Prince Romeo Mensah
We construct a local in time spatially real-analytic solution to the 2D and 3D stochastic Navier--Stokes equation driven by a spatially real-analytic multiplicative and transport n…
Theoretical analysis and numerical approximation for the stochastic thermal quasi-geostrophic model
Dan Crisan, Darryl D. Holm, Oana Lang +2
This paper investigates the mathematical properties of a stochastic version of the balanced 2D thermal quasigeostrophic (TQG) model of potential vorticity dynamics. This stochastic…
Analytical Properties for a Stochastic Rotating Shallow Water Model under Location Uncertainty
Oana Lang, Dan Crisan, Etienne Mémin
The rotating shallow water model is a simplification of oceanic and atmospheric general circulation models that are used in many applications such as surge prediction, tsunami trac…
Hasselmann's Paradigm for Stochastic Climate Modelling based on Stochastic Lie Transport
D. Crisan, D. D. Holm, P. Korn
A generic approach to stochastic climate modelling is developed for the example of an idealized Atmosphere-Ocean model that rests upon Hasselmann's paradigm for stochastic climate…