Existence and regularity of solution for a model in magnetohydrodynamics - Archive ouverte HAL
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.
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Dates et versions

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

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  • HAL Id : hal-02523936 , version 1

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