Global Approximate Controllability of the Camassa-Holm Equation by a Finite Dimensional Force
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arXiv
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| Hauptverfasser: | , , |
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| Format: | Preprint |
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2024
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| _version_ | 1866910374772604928 |
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| author | Chowdhury, Shirshendu Dutta, Rajib Mondal, Debanjit |
| author_facet | Chowdhury, Shirshendu Dutta, Rajib Mondal, Debanjit |
| contents | In this paper, we consider the Camassa-Holm equation posed on the periodic domain $\mathbb{T}$. We show that Camassa-Holm equation is globally approximately controllable by three dimensional external force in $H^s(\mathbb{T})$ for $ s > \frac{3}{2}$ . The proof is based on Agrachev-Sarychev approach in geometric control theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2403_13075 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Global Approximate Controllability of the Camassa-Holm Equation by a Finite Dimensional Force Chowdhury, Shirshendu Dutta, Rajib Mondal, Debanjit Analysis of PDEs Optimization and Control In this paper, we consider the Camassa-Holm equation posed on the periodic domain $\mathbb{T}$. We show that Camassa-Holm equation is globally approximately controllable by three dimensional external force in $H^s(\mathbb{T})$ for $ s > \frac{3}{2}$ . The proof is based on Agrachev-Sarychev approach in geometric control theory. |
| title | Global Approximate Controllability of the Camassa-Holm Equation by a Finite Dimensional Force |
| topic | Analysis of PDEs Optimization and Control |
| url | https://arxiv.org/abs/2403.13075 |