Global Approximate Controllability of the Camassa-Holm Equation by a Finite Dimensional Force

Shirshendu Chowdhury,Rajib Dutta, Debanjit Mondal

arXiv (Cornell University)（2024）

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摘要

In this paper, we consider the Camassa-Holm equation posed on the periodicdomain 𝕋. We show that Camassa-Holm equation is globallyapproximately controllable by three dimensional external force inH^s(𝕋) for s > 3/2 . The proof is based onAgrachev-Sarychev approach in geometric control theory.

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关键词

Camassa–Holm Equation

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