  A two-species micro-macro mechanochemical system for wormlike micellar
solutions is derived and studied in this present paper. The model couples the
(general) law of mass action obeyed by the microscopic polymer
breaking/reforming process to other mechanisms for polymeric fluids by using
the energetic variational approach. We focus on the dynamic stability analysis
on this two-species micro-macro model, in particular, we study the global
existence of classical solutions near the global equilibrium, which indicates
the consistence between the detailed balance conditions in chemical reaction
and the global equilibrium state of each species.
