Ideal density-dependent incompressible viscoelastic flow in the critical Besov spaces

作者：Hua, Qiu^*; Fang, Shaomei

来源：Mathematical Methods in the Applied Sciences, 2018, 41(10): 3913-3933.

DOI：10.1002/mma.4877

• density dependent
• ideal
• Oldroyd model
• well-posedness

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.

• 出版日期2018-7-15
• 单位华南热带农业大学; 华南农业大学