On the dynamics of 3d electrified falling films
In this article, we consider a non-local variant of the KuramotoSivashinsky equation in three dimensions (2D interface). Besides showing the global wellposedness of this equation we also obtain some qualitative properties of the solutions. In particular, we prove that the solutions become analytic i...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2021 |
| País: | España |
| Institución: | Universidad de Cantabria (UC) |
| Repositorio: | UCrea Repositorio Abierto de la Universidad de Cantabria |
| Idioma: | inglés |
| OAI Identifier: | oai:repositorio.unican.es:10902/24534 |
| Acceso en línea: | http://hdl.handle.net/10902/24534 |
| Access Level: | acceso abierto |
| Palabra clave: | Kuramoto-Sivashinsky equation Global wellposedness Analyticity Global attractor Upper bound on the number of spatial oscillations |
| Sumario: | In this article, we consider a non-local variant of the KuramotoSivashinsky equation in three dimensions (2D interface). Besides showing the global wellposedness of this equation we also obtain some qualitative properties of the solutions. In particular, we prove that the solutions become analytic in the spatial variable for positive time, the existence of a compact global attractor and an upper bound on the number of spatial oscillations of the solutions. We observe that such a bound is particularly interesting due to the chaotic behavior of the solutions. |
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