Global existence results for some viscoelastic models with an integral constitutive law - Laboratoire de Mathematiques Accéder directement au contenu
Article Dans Une Revue SIAM Journal on Mathematical Analysis Année : 2014

Global existence results for some viscoelastic models with an integral constitutive law

Résumé

We provide a proof of global regularity of solutions of some models of viscoelastic flow with an integral constitutive law in two spatial dimensions and in a periodic domain. Models that are included in these results are classical models for flow memory: for instance, some K-BKZ models, the PSM model, or the Wagner model. The proof is based on the fact that these models naturally give an L ∞ -bound on the stress and that they allow one to control the spatial gradient of the stress. The main result does not cover the case of the Oldroyd-B model.
Fichier principal
Vignette du fichier
global-integral-model5.pdf (206.05 Ko) Télécharger le fichier
Origine : Fichiers produits par l'(les) auteur(s)
Loading...

Dates et versions

hal-01105180 , version 1 (20-01-2015)

Identifiants

Citer

Laurent Chupin. Global existence results for some viscoelastic models with an integral constitutive law. SIAM Journal on Mathematical Analysis, 2014, 46 (3), pp.1859 - 1873. ⟨10.1137/130944746⟩. ⟨hal-01105180⟩
157 Consultations
163 Téléchargements

Altmetric

Partager

Gmail Facebook X LinkedIn More