[Comment contourner le manque de dissipation de certains modèles de Oldroyd]
Nous modifions le raisonnement utilisé par Renardy pour prouver l'existence et la régularité de solutions d'une sous-classe de modèles de fluides non newtoniens introduits par Oldroyd, comme les modèles maxwelliens de sur-convection et sous-convection. Nous proposons une méthode itérative variationnelle de calcul de solutions qui s'adapte aux éléments finis.
We modify an argument of Renardy proving existence and regularity for a subset of a class of models of non-Newtonian fluids suggested by Oldroyd, including the upper-convected and lower-convected Maxwellian models. We suggest an effective method for solving these models, which can provide a variational formulation suitable for finite element computation.
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@article{CRMATH_2017__355_7_753_0,
author = {Girault, Vivette and Scott, L. Ridgway},
title = {Circumventing the lack of dissipation in certain {Oldroyd} models},
journal = {Comptes Rendus. Math\'ematique},
pages = {753--759},
publisher = {Elsevier},
volume = {355},
number = {7},
year = {2017},
doi = {10.1016/j.crma.2017.05.013},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2017.05.013/}
}
TY - JOUR AU - Girault, Vivette AU - Scott, L. Ridgway TI - Circumventing the lack of dissipation in certain Oldroyd models JO - Comptes Rendus. Mathématique PY - 2017 SP - 753 EP - 759 VL - 355 IS - 7 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2017.05.013/ DO - 10.1016/j.crma.2017.05.013 LA - en ID - CRMATH_2017__355_7_753_0 ER -
%0 Journal Article %A Girault, Vivette %A Scott, L. Ridgway %T Circumventing the lack of dissipation in certain Oldroyd models %J Comptes Rendus. Mathématique %D 2017 %P 753-759 %V 355 %N 7 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2017.05.013/ %R 10.1016/j.crma.2017.05.013 %G en %F CRMATH_2017__355_7_753_0
Girault, Vivette; Scott, L. Ridgway. Circumventing the lack of dissipation in certain Oldroyd models. Comptes Rendus. Mathématique, Tome 355 (2017) no. 7, pp. 753-759. doi : 10.1016/j.crma.2017.05.013. http://www.numdam.org/articles/10.1016/j.crma.2017.05.013/
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