Pré-Publication, Document De Travail Année : 2018

Multi-scale analysis for highly anisotropic parabolic problems

Résumé

We focus on the asymptotic behavior of strongly anisotropic parabolic problems. We concentrate on heat equations, whose diffusion matrix fields have disparate eigen-values. We establish strong convergence results toward a profile. Under suitable smoothness hypotheses, by introducing an appropriate corrector term, we estimate the convergence rate. The arguments rely on two-scale analysis, based on average operators with respect to unitary groups.

Fichier principal
Vignette du fichier
main_SingPara_avec_details.pdf (520.62 Ko) Télécharger le fichier
Origine Fichiers produits par l'(les) auteur(s)
Licence
Loading...

Dates et versions

hal-01654430 , version 1 (04-12-2017)
hal-01654430 , version 2 (01-02-2018)

Licence

Identifiants

  • HAL Id : hal-01654430 , version 2

Citer

Thomas Blanc, Mihai Bostan. Multi-scale analysis for highly anisotropic parabolic problems. 2018. ⟨hal-01654430v2⟩
326 Consultations
234 Téléchargements

Partager

  • More