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H 1 Recent approaches based on harmonic analysis for the study of non regular solutions to the Navier-Stokes equations with variable density

Auteurs : Danchin, Raphaël (Auteur de la Conférence)
CIRM (Editeur )

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    Résumé : The inhomogeneous incompressible Navier-Stokes equations that govern the evolution of viscous incompressible flows with non-constant density have received a lot of attention lately. In this talk, we shall mainly focus on the singular situation where the density is discontinuous, which is in particular relevant for describing the evolution of a mixture of two incompressible and non reacting fluids with constant density, or of a drop of liquid in vacuum. We shall highlight the places where tools in harmonic analysis play a key role, and present a few open problems.

    Keywords : inhomogeneous Navier-Stokes equations; viscous fluids; variable density; incompressible nonhomogeneous fluids; non regular solutions

    Codes MSC :
    35Q30 - Stokes and Navier-Stokes equations
    35Q35 - PDEs in connection with fluid mechanics
    76D03 - Existence, uniqueness, and regularity theory
    76D05 - Navier-Stokes equations (fluid dynamics)

      Informations sur la Vidéo

      Langue : Anglais
      Date de publication : 26/04/2018
      Date de captation : 26/04/2018
      Collection : Research talks ; Analysis and its Applications ; Partial Differential Equations
      Format : MP4
      Durée : 01:01:38
      Domaine : PDE ; Analysis and its Applications
      Audience : Chercheurs ; Doctorants , Post - Doctorants
      Download : https://videos.cirm-math.fr/2018-04-26_Danchin.mp4

    Informations sur la rencontre

    Nom de la rencontre : Harmonic analysis of elliptic and parabolic partial differential equations / Analyse harmonique des équations aux dérivées partielles elliptiques et paraboliques
    Organisateurs de la rencontre : Monniaux, Sylvie ; Portal, Pierre
    Dates : 23/04/2018 - 27/04/2018
    Année de la rencontre : 2018
    URL Congrès : https://conferences.cirm-math.fr/1741.html

    Citation Data

    DOI : 10.24350/CIRM.V.19398303
    Cite this video as: Danchin, Raphaël (2018). Recent approaches based on harmonic analysis for the study of non regular solutions to the Navier-Stokes equations with variable density. CIRM. Audiovisual resource. doi:10.24350/CIRM.V.19398303
    URI : http://dx.doi.org/10.24350/CIRM.V.19398303


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