High Reynolds number and high Weissenberg number Oldroyd-B model with dissipation

Author:

Constantin PeterORCID,Wu Jiahong,Zhao Jiefeng,Zhu Yi

Funder

Directorate for Mathematical and Physical Sciences

Publisher

Springer Science and Business Media LLC

Subject

Mathematics (miscellaneous)

Reference35 articles.

1. O. Bejaoui, M. Majdoub, Global weak solutions for some Oldroyd models, J. Differential Equations 254 (2013), 660-685

2. R.B. Bird, C.F. Curtiss, R.C. Armstrong, O. Hassager, Dynamics of Polymetric Liquids, vol. 1, Fluid Mechanics, 2nd edn., Wiley, New York (1987).

3. J.-Y. Chemin, N. Masmoudi, About lifespan of regular solutions of equations related to viscoelastic fluids, SIAM J. Math. Anal., 33 (2001), 84-112.

4. Q. Chen, X. Hao, Global well-posedness in the critical Besov spaces for the incompressible Oldroyd-B model without damping mechanism, arXiv:1810.0617v1 [math.AP]

5. Q. Chen, C. Miao, Global well-posedness of viscoelastic fluids of Oldroyd type in Besov spaces, Nonlinear Anal., 68 (2008), 1928-1939.

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