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

Mathematics – Numerical Analysis

Scientific paper

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Scientific paper

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.

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