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math.AP2021
Strong Stabilization of a 3D Potential Flow via a Weakly Damped von Karman Plate
Abhishek Balakrishna, Irena Lasiecka, Justin T. Webster
The elimination of aeroelastic instability (resulting in sustained oscillations of bridges, buildings, airfoils) is a central engineering and design issue. Mathematically, this tra…
math.AP2021
Determining Map, Data Assimilation and an Observable Regularity Criterion for the Three-Dimensional Boussinesq System
Abhishek Balakrishna, Animikh Biswas
In this paper, we provide conditions, \emph{based solely on the observed velocity data}, for the global well-posedness, regularity and convergence of the Azouni-Olson-Titi data ass…