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H 1 On the analysis of a class of thermodynamically compatible viscoelastic fluids with stress diffusion

Auteurs : Málek, Josef (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : We first summarize the derivation of viscoelastic (rate-type) fluids with stress diffusion that generates the models that are compatible with the second law of thermodynamics and where no approximation/reduction takes place. The approach is based on the concept of natural configuration that splits the total response between the current and initial configuration into the purely elastic and dissipative part. Then we restrict ourselves to the class of fluids where elastic response is purely spherical. For such class of fluids we then provide a mathematical theory that, in particular, includes the long-time and large-data existence of weak solution for suitable initial and boundary value problems. This is a joint work with Miroslav Bulicek, Vit Prusa and Endre Suli.

    Codes MSC :
    35Q35 - PDEs in connection with fluid mechanics
    76A10 - Viscoelastic fluids
    80A10 - Classical thermodynamics, including relativistic
    35D30 - Weak solutions of PDE

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 18/05/17
      Date de captation : 09/05/17
      Collection : Research talks ; Partial Differential Equations ; Mathematical Physics
      Format : MP4
      Durée : 01:03:15
      Domaine : PDE ; Mathematical Physics
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2017-05-09_Malek.mp4

    Informations sur la rencontre

    Nom de la rencontre : Vorticity, rotation and symmetry (IV): Complex fluids and the issue of regularity / Vorticité, rotation et symétrie (IV) : fluides complexes et problèmes de régularité
    Organisateurs de la rencontre : Danchin, Raphaël ; Farwig, Reinhard ; Neustupa, Jiri ; Penel, Patrick
    Dates : 08/05/17 - 12/05/17
    Année de la rencontre : 2017
    URL Congrès : http://conferences.cirm-math.fr/1588.html

    Citation Data

    DOI : 10.24350/CIRM.V.19165503
    Cite this video as: Málek, Josef (2017). On the analysis of a class of thermodynamically compatible viscoelastic fluids with stress diffusion. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19165503
    URI : http://dx.doi.org/10.24350/CIRM.V.19165503

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