On the unique continuation property for the two-dimensional sloshing problem
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, non-local differential operator inherent in the dynamics of a two-dimensional, incompressible, non-viscous fluid within a confined doma...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Consejo Superior de Investigaciones Científicas (CSIC) |
| Repositorio: | DIGITAL.CSIC. Repositorio Institucional del CSIC |
| OAI Identifier: | oai:digital.csic.es:10261/425164 |
| Acceso en línea: | http://hdl.handle.net/10261/425164 https://www.scopus.com/inward/record.uri?eid=2-s2.0-105007530786&doi=10.1007%2Fs00033-025-02496-9&partnerID=40&md5=be5a260c189d0379ca1d854335edffac |
| Access Level: | acceso abierto |
| Palabra clave: | Controllability Gravity waves Hilbert transform The sloshing problem Fuel sloshing Mathematical operators Mathematical transformations Approximate controllability Differential operators Evolution problem Nonlocal Nonviscous fluids Two-dimensional Unique continuation Unique continuation property |
| Sumario: | 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, non-local 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. © The Author(s) 2025. |
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