Unstable Interface Dynamics for Gravity Stokes Flow
Fuente:
arXiv
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| Autores principales: | , , , , |
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| Formato: | Preprint |
| Publicado: |
2026
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| Materias: | |
| Acceso en línea: | |
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| _version_ | 1866908788843347968 |
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| author | Gancedo, Francisco Granero-Belinchón, Rafael Hu, Zhongtian Salguero, Elena Yao, Yao |
| author_facet | Gancedo, Francisco Granero-Belinchón, Rafael Hu, Zhongtian Salguero, Elena Yao, Yao |
| contents | We investigate some unstable behavior of the interface given by two incompressible fluids of different densities evolving by the regular Stokes law with gravity force. In the unstable scenario, where the denser fluid lies above the lighter fluid, we prove infinite-in-time growth of the length or the curvature of the interface. We support these analytical results with numerical simulations that confirm the predicted growth phenomena. In the stable configuration, where the denser fluid lies below the lighter fluid, we show that certain initial configurations evolve into the unstable regime in finite time. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2601_18460 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Unstable Interface Dynamics for Gravity Stokes Flow Gancedo, Francisco Granero-Belinchón, Rafael Hu, Zhongtian Salguero, Elena Yao, Yao Analysis of PDEs We investigate some unstable behavior of the interface given by two incompressible fluids of different densities evolving by the regular Stokes law with gravity force. In the unstable scenario, where the denser fluid lies above the lighter fluid, we prove infinite-in-time growth of the length or the curvature of the interface. We support these analytical results with numerical simulations that confirm the predicted growth phenomena. In the stable configuration, where the denser fluid lies below the lighter fluid, we show that certain initial configurations evolve into the unstable regime in finite time. |
| title | Unstable Interface Dynamics for Gravity Stokes Flow |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2601.18460 |