Journal
JOURNAL OF DIFFERENTIAL EQUATIONS
Volume 248, Issue 2, Pages 328-341Publisher
ACADEMIC PRESS INC ELSEVIER SCIENCE
DOI: 10.1016/j.jde.2009.07.011
Keywords
Losing a priori estimate; Blowup criteria; Oldroyd model
Categories
Funding
- NSFC [10801029, 10728101]
- special Postdoc Science Foundation of China [200801175]
- SGST [09DZ2272900]
- NSF [DMS-0703145]
- 973 project of the Ministry of Science and Technology of China
- Doctoral Program Foundation of the Ministry of Education of China
- 111 project [1308018]
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We provide a new method to prove and improve the Chemin-Masmoudi criterion for viscoelastic systems of Oldroyd type in [J.Y. Chemin, N. Masmoudi, About lifespan of regular solutions of equations related to viscoelastic fluids, SIAM J. Math. Anal. 33 (1) (2001) 84-112] 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. (C) 2009 Elsevier Inc. All rights reserved.
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