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arXiv · 2106.00160

Controllability of surface gravity waves and the sloshing problem

Marco Fontelos·Juan López-Ríos
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Abstract

We study the problem of controlling the free surface for a two dimensional solid container in the context of the gravity waves and the sloshing problem. By using conformal maps and the Dirichlet-Neumann operator, the problem is formulated as a second order evolutionary equation on the free surface involving a self-adjoint operator. We present then the appropriate Sobolev spaces where having solutions for the system and study the exact controllability through an observability inequality for the adjoint problem.

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Marco Fontelos, Juan López-Ríos. 2021-06-01. Controllability of surface gravity waves and the sloshing problem. https://arxiv.org/abs/2106.00160

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