• Computability and Beltrami fields in Euclidean space 

      Cardona Aguilar, Robert; Miranda Galcerán, Eva; Peralta-Salas, Daniel (2022-11-12)
      Article
      Accés obert
      In this article, we pursue our investigation of the connections between the theory of computation and hydrodynamics. We prove the existence of stationary solutions of the Euler equations in Euclidean space, of Beltrami ...
    • Euler flows and singular geometric structures 

      Miranda Galcerán, Eva; Cardona Aguilar, Robert; Peralta-Salas, Daniel (Royal Society, 2019)
      Article
      Accés obert
      Tichler proved in [24] that a manifold admitting a smooth non vanishing and closed one-form bers over a circle. More generally a manifold admitting k independent closed one-forms bers over a torus Tk. In this article we ...
    • On Birkhoff's conjecture about convex billiards 

      Delshams Valdés, Amadeu; Ramírez Ros, Rafael (1995)
      Article
      Accés obert
      Birkhoff conjectured that the elliptic billiard was the only integrable convex billiard. Here we prove a local version of this conjecture: any non-trivial symmetric entire perturbation of an elliptic billiard is non-integrable.
    • Topological characterization of chiral models through their long time dynamics 

      Maffei, Maria; Dauphin, Alexandre; Cardano, Filippo; Lewenstein, Maciej; Massignan, Pietro Alberto (2018-01-16)
      Article
      Accés obert
      We study chiral models in one spatial dimension, both static and periodically driven. We demonstrate that their topological properties may be read out through the long time limit of a bulk observable, the mean chiral ...