19 citations · 34 across the 14 of their papers we have counts for
7 papers · 1 filter
Global solutions for stochastically controlled fluid dynamics models
Dan Crisan, Oana Lang
For a class of evolution equations that possibly have only local solutions, we introduce a stochastic component that ensures that the solutions of the corresponding stochastically…
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…
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…
Well-posedness Properties for a Stochastic Rotating Shallow Water Model
Dan Crisan, Oana Lang
In this paper, we study the well-posedness properties of a stochastic rotating shallow water system in which the noise is chosen according to the Stochastic Advection by Lie Transp…
Local well-posedness for the great lake equation with transport noise
Dan Crisan, Oana Lang
This work is a continuation of the authors' work for the stochastic 2D Euler equation driven by transport type noise. Here we lift the incompressibility constraint. Instead we assu…
Well-posedness for a stochastic 2D Euler equation with transport noise
Dan Crisan, Oana Lang
We prove the existence of a unique global strong solution for a stochastic two-dimensional Euler vorticity equation for incompressible flows with noise of transport type. In partic…