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arXiv · 2412.08353

Global Controllability of the Kawahara Equation at Any Time

Sakil Ahamed·Debanjit Mondal
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Abstract

In this article, we prove that the nonlinear Kawahara equation on the periodic domain \(\mathbb{T}\) (the unit circle in the plane) is globally approximately controllable in \(H^s(\mathbb{T})\) for \(s \in \mathbb{N}\), at any time \(T > 0\), using a two-dimensional control force. The proof is based on the Agrachev-Sarychev approach in geometric control theory.

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Sakil Ahamed, Debanjit Mondal. 2024-12-11. Global Controllability of the Kawahara Equation at Any Time. https://arxiv.org/abs/2412.08353

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