Remarks on the blowup criteria for Oldroyd models
By Zhen Lei, Nader Masmoudi, Yi Zhou. 2009
130 citations recorded by the source corpus.
Abstract 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.
Subfields: Applied Mathematics, Computational Theory and Mathematics, Control and Systems Engineering
View Paper: https://www.semanticscholar.org/paper/46cf277051344d850a3ef06f5a1a52da4533b794
How researchers see this paper
The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.
In Applied Mathematics
- Peter Constantin
- Frédéric Rousset
- Markus Kliegl
- Nader Masmoudi
- Tarek M. Elgindi
- Vlad Vicol
- Jiahong Wu
- Luis Silvestre
In Computational Theory and Mathematics
In Control and Systems Engineering
- Nader Masmoudi
- Tarek M. Elgindi
- Peter Constantin
- Markus Kliegl
- Frédéric Rousset
- Vlad Vicol
- Pablo Raúl Stinga
- Pierre Germain
Citations in the corpus
- Global existence of weak solutions to macroscopic models of polymeric flows (2011, background): “Moreover, non-blow up criteria for Oldroyd-B were given in [26, 30].”
- Global Regularity for Some Oldroyd‐B Type Models (2013, background): “Many works have been devoted to the proof of global well-posedness in the case of small data (such as [4, 18]) after the work of F.”
- Note on Global Regularity for Two-Dimensional Oldroyd-B Fluids with Diffusive Stress (2012, background): “Sufficient conditions for regularity in terms of bounds on the added stress tensor were established in ([3], [17]) and further refined in ([20]).”