In this talk, I will talk about our recent results on the dynamical stability of a new micro-macro model for a reactive polymeric fluid, and establish the global existence of classical solutions near the global equilibrium. The model couples the breaking/reforming reaction scheme of the microscopic polymers with other mechanical effects in usual viscoelastic complex fluids. How to deal with the chemo-mechanical coupling is the most crucial part of rigorous analysis. In particular, a weighted Poincar\'e inequality with a mean value plays a key role in overcoming the difficulty that arises from the non-conservative number density distribution of each species. This is a joint work with Prof. Chun Liu and Dr. Yiwei Wang.

张腾飞_学术报告海报20211012.pdf