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Existence and regularity of solution for a model in magnetohydrodynamics

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  • Additional Information
    • Contributors:
      Laboratoire de Mathématiques et de leurs Applications Pau (LMAP); Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)
    • Publication Information:
      HAL CCSD
      Elsevier
    • Publication Date:
      2019
    • Collection:
      HAL e2s UPPA (Université de Pau et des Pays de l'Adour)
    • Abstract:
      International audience ; In this paper, we study a model of magnetohydrodynamics problem and prove the existence of weak solution to the stationary magnethohydrodynamic system in a three dimensional bounded domain Ω of class C 1,1. To our knowledge, all previous works consider the domain Ω simply-connected. Our proof is based on some weak estimates concerning vectors potential in negative Sobolev spaces. We also give some regularity results in L p-theory.
    • Relation:
      hal-02523936; https://hal.science/hal-02523936; https://hal.science/hal-02523936/document; https://hal.science/hal-02523936/file/MHD.NonLinearAnalysis.pdf
    • Online Access:
      https://hal.science/hal-02523936
      https://hal.science/hal-02523936/document
      https://hal.science/hal-02523936/file/MHD.NonLinearAnalysis.pdf
    • Rights:
      info:eu-repo/semantics/OpenAccess
    • Accession Number:
      edsbas.A6DCA0A5