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...
| Authors: | , , , |
|---|---|
| Format: | article |
| Status: | Published version |
| Publication Date: | 2025 |
| Country: | España |
| Institution: | Universidad de Sevilla (US) |
| Repository: | idUS. Depósito de Investigación de la Universidad de Sevilla |
| OAI Identifier: | oai:idus.us.es:11441/181513 |
| Online Access: | https://hdl.handle.net/11441/181513 https://doi.org/10.1016/j.matpur.2025.103664 |
| Access Level: | Open access |
| Keyword: | Fluid interface Muskat problem Global existence Critical regularity Bubble Equilibria |
| Summary: | 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. |
|---|