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arXiv · 1611.02899

Lagrangian Controllability of the 1-D Korteweg-de Vries Equation

Ludovick Gagnon
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Abstract

We consider in this paper the problem of the Lagrangian controllability for the Korteweg-de Vries equation. Using the $N$-solitons solution, we prove that, for any length of the spatial domain $L>0$ and any time $T>0$, it is possible to choose appropriate boundary controls of KdV equation such that the flow associated to this solution exit the domain in time $T$.

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Ludovick Gagnon. 2016-11-09. Lagrangian Controllability of the 1-D Korteweg-de Vries Equation. https://arxiv.org/abs/1611.02899

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