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H 1 Geometric structures in 2D Navier-Stokes flows

Auteurs : Brandolese, Lorenzo (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : Geometric structures naturally appear in fluid motions. One of the best known examples is Saturn’s Hexagon, the huge cloud pattern at the level of Saturn’s north pole, remarkable both for the regularity of its shape and its stability during the past decades. In this paper we will address the spontaneous formation of hexagonal structures in planar viscous flows, in the classical setting of Leray’s solutions of the Navier-Stokes equations. Our analysis also makes evidence of the isotropic character of the energy density of the fluid for sufficiently localized 2D flows in the far field: it implies, in particular, that fluid particles of such flows are nowhere at rest at large distances.

    Codes MSC :
    35Q30 - Stokes and Navier-Stokes equations
    76D05 - Navier-Stokes equations (fluid dynamics)

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 10/11/2020
      Date de captation : 27/10/2020
      Collection : Research talks ; Partial Differential Equations
      Format : MP4
      Durée : 00:44:44
      Domaine : PDE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2020-10-27_Brandolese.mp4

    Informations sur la rencontre

    Nom de la rencontre : Vorticity, Rotation and Symmetry (V) - Global Results and Nonlocal Phenomena / Vorticité, rotation et symétrie (V) - Résultats globaux et phénomènes non locaux
    Organisateurs de la rencontre : Danchin, Raphaël ; Farwig, Reinhard ; Necasova, Sarka ; Neustupa, Jiri
    Dates : 26/10/2020 - 30/10/2020
    Année de la rencontre : 2020
    URL Congrès : https://conferences.cirm-math.fr/2166.html

    Citation Data

    DOI : 10.24350/CIRM.V.19678603
    Cite this video as: Brandolese, Lorenzo (2020). Geometric structures in 2D Navier-Stokes flows. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19678603
    URI : http://dx.doi.org/10.24350/CIRM.V.19678603

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