A Data Assimilation Algorithm for the Subcritical Surface Quasi-Geostrophic Equation

A Data Assimilation Algorithm for the Subcritical Surface Quasi-Geostrophic Equation

In this article, we prove that data assimilation by feedback nudging can be achieved for the three-dimensional quasi-geostrophic equation in a simplified scenario using only large spatial scale observables on the dynamical boundary. On this boundary, a scalar unknown (buoyancy or surface temperature...

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Bibliographic Details
Main Authors: Jolly Michael S., Martinez Vincent R., Titi Edriss S.
Format: Article
Language:English
Published: De Gruyter 2017-02-01
Series:Advanced Nonlinear Studies
Subjects:
data assimilation
nudging
surface measurements
quasi-geostrophic and surfacequasi-geostrophic equation
fractional poincaré inequalities
35q30
37c50
76b75
34d06
Online Access:https://doi.org/10.1515/ans-2016-6019

Internet

https://doi.org/10.1515/ans-2016-6019

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