A Global well-posedness result for the Rosensweig system of ferrofluids
In this Paper we study a Bloch-Torrey regularization of the Rosensweig system for ferrofluids. The scope of this paper is twofold. First of all, we investigate the existence and uniqueness of Leray-Hopf solutions of this model in the whole space $\mathbb{R}^2$. In the second part of this paper we in...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Estado: | Versión aceptada para publicación |
| Fecha de publicación: | 2019 |
| País: | España |
| Institución: | Basque Center for Applied Mathematics (BCAM) |
| Repositorio: | BIRD. BCAM's Institutional Repository Data |
| OAI Identifier: | oai:bird.bcamath.org:20.500.11824/916 |
| Acceso en línea: | http://hdl.handle.net/20.500.11824/916 |
| Access Level: | acceso abierto |
| Palabra clave: | Ferrofluids fractional time derivative global well-posedness long time behavior decay estimates regularity propagation |
| Sumario: | In this Paper we study a Bloch-Torrey regularization of the Rosensweig system for ferrofluids. The scope of this paper is twofold. First of all, we investigate the existence and uniqueness of Leray-Hopf solutions of this model in the whole space $\mathbb{R}^2$. In the second part of this paper we investigate both the long-time behavior of weak solutions and the propagation of Sobolev regularities in dimension two |
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