Remarks on the Blowup Criteria for Oldroyd Models

Details Remarks on the Blowup Criteria for Oldroyd Models Remarks on the Blowup Criteria for Oldroyd Models

2009-07-16

arxiv.org/abs/0907.2745v1

Mathematics

Analysis of PDEs

to appear in JDE

Scientific paper

We provide a new method to prove and improve the Chemin-Masmoudi criterion
for viscoelastic systems of Oldroyd type in \cite{CM} in two space dimensions.
Our method is much easier than the one based on the well-known \textit{losing a
priori estimate} and is expected to be easily adopted to other problems
involving the losing \textit{a priori} estimate.

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