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

This short note presents the derivation of a new 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.

Keywords

a priori estimate, Oldroyd-B, FENE-P, entropy, conformation tensor

2010 Mathematics Subject Classification

35B45, 35Q35, 76A05

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Published 1 January 2007