Remarks on the Blowup Criteria for Oldroyd Models

2009/07/16 by Lei, Zhen, Masmoudi, Nader, Zhou, Yi · 1 citation
#76D03 #76D09 #Analysis of PDEs (math.AP) #FOS: Mathematics

paper · doi:10.48550/arxiv.0907.2745

Abstract

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

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• Uniform vanishing damping limit for the 2D inviscid Oldroyd-B model with fractional stress tensor diffusion

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