New entropy estimates for the Oldroyd-B model, and related models

Dan Hu (1) , Tony Lelièvre (2)

1 School of Mathematical Sciences
2 CERMICS - Centre d'Enseignement et de Recherche en Mathématiques, Informatique et Calcul Scientifique

This short note presents the derivation of a new {\it a priori} estimate for the Oldroyd-B model. Such an estimate may provide useful information when investigating the long-time behaviour of macro-macro models, and the stability of numerical schemes. We show how this estimate can be used as a guideline to derive new estimates for other macroscopic models, like the FENE-P model.

Mots clés: Oldroyd-B model; FENE-P model; entropy estimates

Domaines: Analyse numérique [math.NA]

Dan Hu, Tony Lelièvre. New entropy estimates for the Oldroyd-B model, and related models. 2007. ⟨hal-00135377⟩