Internal null controllability for the one-dimensional heat equation with dynamic boundary conditions
Fuente:
arXiv
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| Autores principales: | , , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866911823633055744 |
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| author | Hassi, El Mustapha Ait Ben Jakhoukh, Mariem Maniar, Lahcen Zouhair, Walid |
| author_facet | Hassi, El Mustapha Ait Ben Jakhoukh, Mariem Maniar, Lahcen Zouhair, Walid |
| contents | The primary focus of this paper is to establish the internal null controllability for the one-dimensional heat equation featuring dynamic boundary conditions. This achievement is realized by introducing a new Carleman estimate and an observability inequality for the corresponding backward system. In conclusion, the paper includes a set of numerical experiments that serve to confirm the validity of the theoretical findings and underscore the effectiveness of the designed control with a minimal L2-norm. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_01539 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Internal null controllability for the one-dimensional heat equation with dynamic boundary conditions Hassi, El Mustapha Ait Ben Jakhoukh, Mariem Maniar, Lahcen Zouhair, Walid Optimization and Control The primary focus of this paper is to establish the internal null controllability for the one-dimensional heat equation featuring dynamic boundary conditions. This achievement is realized by introducing a new Carleman estimate and an observability inequality for the corresponding backward system. In conclusion, the paper includes a set of numerical experiments that serve to confirm the validity of the theoretical findings and underscore the effectiveness of the designed control with a minimal L2-norm. |
| title | Internal null controllability for the one-dimensional heat equation with dynamic boundary conditions |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2404.01539 |