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arXiv · 2402.18468

Controllability for a non-local formulation of surface gravity waves

M. A. Fontelos·R. Lecaros·J. López-Ríos·A. Pérez
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Abstract

In this paper, we study the approximate controllability of a system governed by an evolution problem known as the sloshing problem. This problem involves a spatial, nonlocal differential operator inherent in the dynamics of a two-dimensional, incompressible, non-viscous fluid within a confined domain. Our work establishes unique continuation results that enable the application of source control localized in an interior domain, allowing the aforementioned controllability.

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M. A. Fontelos, R. Lecaros, J. López-Ríos, A. Pérez. 2024-02-28. Controllability for a non-local formulation of surface gravity waves. https://arxiv.org/abs/2402.18468

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