On the Charney Conjecture of Data Assimilation Employing Temperature Measurements Alone: The Paradigm of 3D Planetary Geostrophic Model

Aseel Farhat, Evelyn Lunasin, and Edriss S. Titi. "On the Charney Conjecture of Data Assimilation Employing Temperature Measurements Alone: The Paradigm of 3D Planetary Geostrophic Model." Mathematics of Climate and Weather Forecasting 2.1 (2016): 492-506. <http://eudml.org/doc/287151>.

@article{AseelFarhat2016,
abstract = {Analyzing the validity and success of a data assimilation algorithmwhen some state variable observations are not available is an important problem in meteorology and engineering. We present an improved data assimilation algorithm for recovering the exact full reference solution (i.e. the velocity and temperature) of the 3D Planetary Geostrophic model, at an exponential rate in time, by employing coarse spatial mesh observations of the temperature alone. This provides, in the case of this paradigm, a rigorous justification to an earlier conjecture of Charney which states that temperature history of the atmosphere, for certain simple atmospheric models, determines all other state variables.},
author = {Aseel Farhat, Evelyn Lunasin, Edriss S. Titi},
journal = {Mathematics of Climate and Weather Forecasting},
keywords = {Planetary Geostrophic model; data assimilation; nudging; downscaling; Charney’s conjecture; Bénard convection; porous media; continuous data assimilation; signal synchronization},
language = {eng},
number = {1},
pages = {492-506},
title = {On the Charney Conjecture of Data Assimilation Employing Temperature Measurements Alone: The Paradigm of 3D Planetary Geostrophic Model},
url = {http://eudml.org/doc/287151},
volume = {2},
year = {2016},
}

TY - JOUR
AU - Aseel Farhat
AU - Evelyn Lunasin
AU - Edriss S. Titi
TI - On the Charney Conjecture of Data Assimilation Employing Temperature Measurements Alone: The Paradigm of 3D Planetary Geostrophic Model
JO - Mathematics of Climate and Weather Forecasting
PY - 2016
VL - 2
IS - 1
SP - 492
EP - 506
AB - Analyzing the validity and success of a data assimilation algorithmwhen some state variable observations are not available is an important problem in meteorology and engineering. We present an improved data assimilation algorithm for recovering the exact full reference solution (i.e. the velocity and temperature) of the 3D Planetary Geostrophic model, at an exponential rate in time, by employing coarse spatial mesh observations of the temperature alone. This provides, in the case of this paradigm, a rigorous justification to an earlier conjecture of Charney which states that temperature history of the atmosphere, for certain simple atmospheric models, determines all other state variables.
LA - eng
KW - Planetary Geostrophic model; data assimilation; nudging; downscaling; Charney’s conjecture; Bénard convection; porous media; continuous data assimilation; signal synchronization
UR - http://eudml.org/doc/287151
ER -