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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2025
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| Materias: | |
| Acceso en línea: | https://arxiv.org/abs/2508.05481 |
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| _version_ | 1866913979195981824 |
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| author | Francfort, Gilles A. Giacomini, Alessandro Weady, Scott |
| author_facet | Francfort, Gilles A. Giacomini, Alessandro Weady, Scott |
| contents | An obstacle is immersed in an externally driven 2D Stokes or Navier-Stokes fluid. We study the self-equilibration conditions for that obstacle under steady state assumptions on the flow. We then seek to optimize the translational and/or angular velocity of the obstacle by varying its shape. To allow general variations, we must consider a very large class of obstacles for which the notion of trace is meaningless. This forces us to revisit the notion of self-equilibration for both Stokes and Navier-Stokes in a measure theoretic environment. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_05481 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Velocity optimization of self-equilibrated obstacles in a two-dimensional viscous flow Francfort, Gilles A. Giacomini, Alessandro Weady, Scott Analysis of PDEs An obstacle is immersed in an externally driven 2D Stokes or Navier-Stokes fluid. We study the self-equilibration conditions for that obstacle under steady state assumptions on the flow. We then seek to optimize the translational and/or angular velocity of the obstacle by varying its shape. To allow general variations, we must consider a very large class of obstacles for which the notion of trace is meaningless. This forces us to revisit the notion of self-equilibration for both Stokes and Navier-Stokes in a measure theoretic environment. |
| title | Velocity optimization of self-equilibrated obstacles in a two-dimensional viscous flow |
| topic | Analysis of PDEs |
| url | https://arxiv.org/abs/2508.05481 |