On the inadequacy of nudging data assimilation algorithms for non-dissipative systems: A computational examination of the Korteweg de-Vries and Lorenz equations

In this work, we study the applicability of the Azouani-Olson-Titi (AOT) nudging algorithm for continuous data assimilation to evolutionary dynamical systems that are not dissipative. Specifically, we apply the AOT algorithm to the Korteweg de-Vries (KdV) equation and a partially dissipative variant...

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Hauptverfasser:	Titi, Edriss S, Victor, Collin
Format:	Artikel
Sprache:	eng
Schlagworte:	Mathematics - Mathematical Physics Mathematics - Optimization and Control Physics - Mathematical Physics
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