On nonlinear stability of Muskat bubbles
In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [1]. Due to a new bubble-adapted formulation, the improvement is twofold. We significantly condense the proof and we now obtain the global well-posedness result for Muskat bubbles in...
| Autores: | , , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 2025 |
| País: | España |
| Institución: | Universidad de Sevilla (US) |
| Repositorio: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/181513 |
| Acceso en línea: | https://hdl.handle.net/11441/181513 https://doi.org/10.1016/j.matpur.2025.103664 |
| Access Level: | acceso abierto |
| Palabra clave: | Fluid interface Muskat problem Global existence Critical regularity Bubble Equilibria |
| Sumario: | In this paper we consider gravity-capillarity Muskat bubbles in 2D. We obtain a new approach to improve our result in [1]. Due to a new bubble-adapted formulation, the improvement is twofold. We significantly condense the proof and we now obtain the global well-posedness result for Muskat bubbles in critical regularity. |
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