Incompressible Euler fluids on compact cohomogeneity one manifolds
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2026
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866910115734487040 |
|---|---|
| author | Buttsworth, Timothy Orchard, Max |
| author_facet | Buttsworth, Timothy Orchard, Max |
| contents | Let $(M,\mathsf{g})$ be a connected and compact Riemannian manifold admitting an isometric action by a compact Lie group $G$ whose principal orbits have codimension one. We show that any $G$-invariant, smooth, and divergence-free vector field $u_0$ on $(M,\mathsf{g})$ initiates a $G$-invariant time-varying velocity-pressure pair $(u,p)$ which has time interval $\mathbb{R}$, is smooth, and solves the incompressible Euler fluid equations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_07943 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Incompressible Euler fluids on compact cohomogeneity one manifolds Buttsworth, Timothy Orchard, Max Differential Geometry Analysis of PDEs Let $(M,\mathsf{g})$ be a connected and compact Riemannian manifold admitting an isometric action by a compact Lie group $G$ whose principal orbits have codimension one. We show that any $G$-invariant, smooth, and divergence-free vector field $u_0$ on $(M,\mathsf{g})$ initiates a $G$-invariant time-varying velocity-pressure pair $(u,p)$ which has time interval $\mathbb{R}$, is smooth, and solves the incompressible Euler fluid equations. |
| title | Incompressible Euler fluids on compact cohomogeneity one manifolds |
| topic | Differential Geometry Analysis of PDEs |
| url | https://arxiv.org/abs/2604.07943 |