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Article Dans Une Revue Mathematical Models and Methods in Applied Sciences Année : 2022
Aissa Aibeche
  • Fonction : Auteur
Bassem Bahouli
  • Fonction : Auteur

Résumé

Geymonat extended Gurtin’s result on Beltrami’s completeness to [Formula: see text]-case. The first objective of this paper is to generalize Geymonat’s result to [Formula: see text]-case with tangential and normal boundary conditions. Maggiani et al. proposed an extension of Beltrami’s-type decomposition for symmetric matrix fields in [Formula: see text] when [Formula: see text] is simply connected domain and of class [Formula: see text]. The second objective of this paper is to present more extensions of the above decomposition when the domain [Formula: see text] is only of class [Formula: see text] and not necessarily simply connected. The third objective of this paper is to use the previous characterizations of matrix fields to solve some variants of the bi-Laplacian problem.
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Dates et versions

hal-04271514 , version 1 (06-11-2023)

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Aissa Aibeche, Chérif Amrouche, Bassem Bahouli. No title. Mathematical Models and Methods in Applied Sciences, 2022, 32 (06), pp.1251-1294. ⟨10.1142/S0218202522500282⟩. ⟨hal-04271514⟩
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