[Quelques inégalités de type Poincaré pour les champs de matrices quadratiques]
On présente quelques inégalités de type Poincaré pour les champs de matrices quadratiques, avec des applications, par exemple, en plasticité avec gradients ou en dynamique des fluides. En particulier, on discute des applications pour la formulation en vitesse de pseudo-tension du problème stationnaire de Stokes et pour la plasticité infinitésimale avec gradients.
We present some Poincaré-type inequalities for quadratic matrix fields with applications e.g. in gradient plasticity or fluid dynamics. In particular, applications to the pseudostress–velocity formulation of the stationary Stokes problem and to infinitesimal gradient plasticity are discussed.
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@article{CRMATH_2014__352_2_163_0,
author = {Bauer, Sebastian and Neff, Patrizio and Pauly, Dirk and Starke, Gerhard},
title = {New {Poincar\'e-type} inequalities},
journal = {Comptes Rendus. Math\'ematique},
pages = {163--166},
publisher = {Elsevier},
volume = {352},
number = {2},
year = {2014},
doi = {10.1016/j.crma.2013.11.017},
language = {en},
url = {http://www.numdam.org/articles/10.1016/j.crma.2013.11.017/}
}
TY - JOUR AU - Bauer, Sebastian AU - Neff, Patrizio AU - Pauly, Dirk AU - Starke, Gerhard TI - New Poincaré-type inequalities JO - Comptes Rendus. Mathématique PY - 2014 SP - 163 EP - 166 VL - 352 IS - 2 PB - Elsevier UR - http://www.numdam.org/articles/10.1016/j.crma.2013.11.017/ DO - 10.1016/j.crma.2013.11.017 LA - en ID - CRMATH_2014__352_2_163_0 ER -
%0 Journal Article %A Bauer, Sebastian %A Neff, Patrizio %A Pauly, Dirk %A Starke, Gerhard %T New Poincaré-type inequalities %J Comptes Rendus. Mathématique %D 2014 %P 163-166 %V 352 %N 2 %I Elsevier %U http://www.numdam.org/articles/10.1016/j.crma.2013.11.017/ %R 10.1016/j.crma.2013.11.017 %G en %F CRMATH_2014__352_2_163_0
Bauer, Sebastian; Neff, Patrizio; Pauly, Dirk; Starke, Gerhard. New Poincaré-type inequalities. Comptes Rendus. Mathématique, Tome 352 (2014) no. 2, pp. 163-166. doi : 10.1016/j.crma.2013.11.017. http://www.numdam.org/articles/10.1016/j.crma.2013.11.017/
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