A. Farhat

activity

20112023

most citedContinuous Data Assimilation for the 2D Bénard Convection through Velocity Measurements Alone

131 citations · 329 across the 16 of their papers we have counts for

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Showing 2016Show all

3 papers · 1 filter

math.AP2016

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

Aseel Farhat, Evelyn Lunasin, Edriss S. Titi

Analyzing the validity and success of a data assimilation algorithm when some state variable observations are not available is an important problem in meteorology and engineering.…

math.AP2016★ 2 cited

The space $B_{\infty, \infty}^{- 1}$ , volumetric sparseness, and 3D NSE

Aseel Farhat, Zoran Grujic, Keith Leitmeyer

In the context of the $L^{\infty}$ -theory of the 3D NSE, it is shown that suitable smallness of a solution in Besov space $B_{\infty, \infty}^{- 1}$ suffices to prevent a possible blo…

math.AP2016★ 48 cited

Continuous Data Assimilation for a 2D Bénard Convection System through Horizontal Velocity Measurements Alone

Aseel Farhat, Evelyn Lunasin, Edriss S. Titi

In this paper we propose a continuous data assimilation (downscaling) algorithm for a two-dimensional Bénard convection problem. Specifically we consider the two-dimensional Boussi…

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

The space B∞,∞−1​, volumetric sparseness, and 3D NSE

Continuous Data Assimilation for a 2D Bénard Convection System through Horizontal Velocity Measurements Alone

The space $B_{\infty, \infty}^{- 1}$ , volumetric sparseness, and 3D NSE