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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2402.18468 |
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| _version_ | 1866911785789947904 |
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| author | Fontelos, M. A. Lecaros, R. López-Ríos, J. Pérez, A. |
| author_facet | Fontelos, M. A. Lecaros, R. López-Ríos, J. Pérez, A. |
| contents | In this paper, we study the approximate controllability of a system governed by an evolution problem known as the sloshing problem. This problem involves a spatial, nonlocal differential operator inherent in the dynamics of a two-dimensional, incompressible, non-viscous fluid within a confined domain. Our work establishes unique continuation results that enable the application of source control localized in an interior domain, allowing the aforementioned controllability. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2402_18468 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Controllability for a non-local formulation of surface gravity waves Fontelos, M. A. Lecaros, R. López-Ríos, J. Pérez, A. Analysis of PDEs 93B05, 35Q31, 44A15 In this paper, we study the approximate controllability of a system governed by an evolution problem known as the sloshing problem. This problem involves a spatial, nonlocal differential operator inherent in the dynamics of a two-dimensional, incompressible, non-viscous fluid within a confined domain. Our work establishes unique continuation results that enable the application of source control localized in an interior domain, allowing the aforementioned controllability. |
| title | Controllability for a non-local formulation of surface gravity waves |
| topic | Analysis of PDEs 93B05, 35Q31, 44A15 |
| url | https://arxiv.org/abs/2402.18468 |