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pro vyhledávání: '"Lang, Oana"'
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 introduced to parametrize subgrid-scale processes. The stochastic param
Externí odkaz:
http://arxiv.org/abs/2403.10578
Autor:
Crisan, Dan, Lang, Oana
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 perturbed equations are global. The class of partial differential equa
Externí odkaz:
http://arxiv.org/abs/2403.05923
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 geophysical fluid dynamics has increased massively. For a judicious usage
Externí odkaz:
http://arxiv.org/abs/2305.03548
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 of the fine-scale data and is in common usage in computational simulat
Externí odkaz:
http://arxiv.org/abs/2304.14216
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 abstract well-posedness results first given in arXiv:2202.09242v2, and p
Externí odkaz:
http://arxiv.org/abs/2209.09137
This paper investigates the mathematical properties of a stochastic version of the balanced 2D thermal quasigeostrophic (TQG) model of potential vorticity dynamics. This stochastic TQG model is intended as a basis for parametrisation of the dynamical
Externí odkaz:
http://arxiv.org/abs/2207.07457
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 tracking and ocean modelling. In this paper we introduce a class of rotati
Externí odkaz:
http://arxiv.org/abs/2206.12451
Autor:
Lang, Oana, Pan, Wei
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 Euler SALT equation, showing that the driving stochastic parameter can be
Externí odkaz:
http://arxiv.org/abs/2202.10852
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 Stochastic Advection by Lie Transport (SALT) approach. The methodology
Externí odkaz:
http://arxiv.org/abs/2112.15216
Autor:
Crisan, Dan, Lang, Oana
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 Transport (SALT) theory. The system is perturbed by noise modulated by a fun
Externí odkaz:
http://arxiv.org/abs/2107.06601