Global existence of classical solutions for a reactive polymeric fluid near equilibrium

In this paper, we study a new micro-macro model for reactive polymeric fluid, which is derived recently in Wang et al. (J Non-Newton Fluid Mech 293:104559, 2021), by using the energetic variational approach. The couples breaking/reforming reaction scheme of microscopic polymers with other mechanical effects usual viscoelastic complex fluids.We establish global existence classical solutions near equilibrium, treatment on chemo-mechanical coupling effect most crucial part. particular, weighted Poincaré inequality mean value employed to overcome difficulty that arises from non-conservative number density distribution each species.