Article
A characterization of 3D steady Euler flows using commuting zero-flux homologies
Author/s | Peralta Salas, Daniel
Rechtman, Ana Torres de Lizaur, Francisco Javier |
Department | Universidad de Sevilla. Departamento de Análisis matemático |
Publication Date | 2020-02-10 |
Deposit Date | 2022-07-01 |
Published in |
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Abstract | We characterize, using commuting zero-flux homologies, those volumepreserving
vector fields on a 3-manifold that are steady solutions of the Euler equations
for some Riemannian metric. This result extends Sullivan’s ... We characterize, using commuting zero-flux homologies, those volumepreserving vector fields on a 3-manifold that are steady solutions of the Euler equations for some Riemannian metric. This result extends Sullivan’s homological characterization of geodesible flows in the volume-preserving case. As an application, we show that steady Euler flows cannot be constructed using plugs (as in Wilson’s or Kuperberg’s constructions). Analogous results in higher dimensions are also proved. |
Citation | Peralta Salas, D., Rechtman, A. y Torres de Lizaur, F.J. (2020). A characterization of 3D steady Euler flows using commuting zero-flux homologies. Ergodic theory and dynamical systems, 41 (7), 2166-2181. |
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