%0 Journal Article %T Remarks on the Blowup Criteria for Oldroyd Models %A Zhen Lei %A Nader Masmoudi %A Yi Zhou %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0907.2745v1