19 citations · 34 across the 14 of their papers we have counts for
14 papers
Well-posedness and Hurst parameter estimation for fluid equations driven by fractional transport noise
Alexandra Blessing Neamtu, Dan Crisan, Oana Lang
We study a two-dimensional incompressible vorticity equation on the torus driven by transport-type fractional Brownian noise with Hurst parameter . The model capture…
Bayesian inference for geophysical fluid dynamics using generative models
Alexander Lobbe, Dan Crisan, Oana Lang
Data assimilation plays a crucial role in numerical modeling, enabling the integration of real-world observations into mathematical models to enhance the accuracy and predictive ca…
Generative Modelling of Stochastic Rotating Shallow Water Noise
Dan Crisan, Oana Lang, Alexander Lobbe
In recent work, the authors have developed a generic methodology for calibrating the noise in fluid dynamics stochastic partial differential equations where the stochasticity was i…
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…
Noise calibration for the stochastic rotating shallow water model
Dan Crisan, Oana Lang, Alexander Lobbe +2
Stochastic partial differential equations have been used in a variety of contexts to model the evolution of uncertain dynamical systems. In recent years, their applications to geop…
Comparison of Stochastic Parametrization Schemes using Data Assimilation on Triad Models
Bertrand Chapron, Dan Crisan, Darryl Holm +3
In recent years, stochastic parametrizations have been ubiquitous in modelling uncertainty in fluid dynamics models. One source of model uncertainty comes from the coarse graining…
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…
A pathwise parameterisation for stochastic transport
Oana Lang, Wei Pan
In this work we set the stage for a new probabilistic pathwise approach to effectively calibrate a general class of stochastic nonlinear fluid dynamics models. We focus on a 2D Eul…
Bayesian Inference for Fluid Dynamics: A Case Study for the Stochastic Rotating Shallow Water Model
Peter Jan van Leeuwen, Dan Crisan, Oana Lang +1
In this work, we use a tempering-based adaptive particle filter to infer from a partially observed stochastic rotating shallow water (SRSW) model which has been derived using the S…
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…