Existence and regularity of solution for a model in magnetohydrodynamics - Archive ouverte HAL Accéder directement au contenu
Article Dans Une Revue Nonlinear Analysis: Theory, Methods and Applications Année : 2019

Existence and regularity of solution for a model in magnetohydrodynamics

Résumé

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.
Fichier principal
Vignette du fichier
MHD.NonLinearAnalysis.pdf (481.44 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-02523936 , version 1 (29-03-2020)

Identifiants

  • HAL Id : hal-02523936 , version 1

Citer

Chérif Amrouche, Saliha Boukassa. Existence and regularity of solution for a model in magnetohydrodynamics. Nonlinear Analysis: Theory, Methods and Applications, 2019. ⟨hal-02523936⟩
54 Consultations
152 Téléchargements

Partager

Gmail Facebook X LinkedIn More