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arXiv · 2511.08421

Recovering the Parameter $\alpha$ in the Simplified Bardina Model through Continuous Data Assimilation

Débora A. F. Albanez·Maicon José Benvenutti·Jing Tian
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Abstract

In this study, we develop a continuous data assimilation algorithm to recover the parameter $\alpha$ in the simplified Bardina model. Our method utilizes the observations of finitely many Fourier modes by using a nudging framework that involves recursive parameter updates. We provide a rigorous convergence analysis, showing that the approximate parameter approaches the true value under suitable conditions, while the approximate solution also converges to the true solution.

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Débora A. F. Albanez, Maicon José Benvenutti, Jing Tian. 2025-11-11. Recovering the Parameter $\alpha$ in the Simplified Bardina Model through Continuous Data Assimilation. https://arxiv.org/abs/2511.08421

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