Local well-posedness of a viscoelastic fluid model for reactive polymers.

In this paper, we study the Cauchy problem of the two-species incompressible viscoelastic fluid of Oldroyd-B system, which involving a reaction effect between two species of polymers. We prove the local existence with initial data in Hk(k ≥ 2) in a classical solution framework, and then provide a blow-up criteria. We concentrate on the <italic>a priori</italic> estimate, by using the energy method. In particular, the variant system in a general formulation is also studied, and the corresponding local well-posedness is established. [ABSTRACT FROM AUTHOR]