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H 1 Compressible Euler equations under a maximal density constraint

Auteurs : Perrin, Charlotte (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : In this talk, I will present recent results on solutions to a one-dimensional Euler system coupling compressible and incompressible phases. With this original fluid system we intend to model congestion (or saturation) phenomena in heterogeneous flows (mixtures, wave-structure interactions, collective motion, etc.). Here the compressible-incompressible model will be seen as the limit of a fully compressible Euler system endowed with a singular pressure law. The goal of the talk is to present theoretical results concerning this singular limit. This is a joint work with Roberta Bianchini.

    Keywords : compressible Euler equations; free boundary problem; singularities formation

    Codes MSC :
    35Q35 - PDEs in connection with fluid mechanics
    35L87 - Unilateral problems for hyperbolic systems and systems of variational inequalities with hyperbolic operators
    35L81 - Singular hyperbolic equations

      Informations sur la Vidéo

      Réalisateur : Hennenfent, Guillaume
      Langue : Anglais
      Date de publication : 10/11/2020
      Date de captation : 27/10/2020
      Collection : Research talks ; Analysis and its Applications ; Partial Differential Equations
      Format : MP4
      Durée : 00:39:57
      Domaine : Analysis and its Applications ; PDE
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2020-10-27_Perrin.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.19678803
    Cite this video as: Perrin, Charlotte (2020). Compressible Euler equations under a maximal density constraint. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19678803
    URI : http://dx.doi.org/10.24350/CIRM.V.19678803


    Voir aussi

    Bibliographie

    1. BIANCHINI, Roberta et PERRIN, Charlotte. Soft congestion approximation to the one-dimensional constrained Euler equations. arXiv preprint arXiv:2005.13214, 2020. - https://arxiv.org/abs/2005.13214

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