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- Title
Ideal density‐dependent incompressible viscoelastic flow in the critical Besov spaces.
- Authors
Hua, Qiu; Fang, Shaomei
- Abstract
In this paper, we consider the well‐posedness issue for the density‐dependent incompressible viscoelastic fluids of the Oldroyd model for the ideal case in space dimension greater than 2. We obtain the local well‐posedness of this model under the assumption that the initial density is bounded away from zero in the critical Besov spaces by means of the Littlewood‐Paley theory and Bony's paradifferential calculus. In particular, we obtain a Beale‐Kato‐Majida–type regularity criterion.
- Subjects
MATHEMATICAL models of viscoelasticity; BESOV spaces; LITTLEWOOD-Paley theory; DIFFERENTIAL calculus; FOURIER analysis
- Publication
Mathematical Methods in the Applied Sciences, 2018, Vol 41, Issue 10, p3913
- ISSN
0170-4214
- Publication type
Article
- DOI
10.1002/mma.4877