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Global Classical Solutions to a Micro-Macro Model for a Reactive Polymeric Fluid near Equilibrium

主讲人：张腾飞

摘要：In this talk, I will talk about the dynamical stability of a new micro-macro model for a reactive polymeric fluid, establishing 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 Prof. Yiwei Wang.

主讲人简介：张腾飞，中国地质大学（武汉）数学与物理学院副教授。主要研究领域为偏微分方程，包括分子动理学理论与自组织模型、复杂流体与宏微观耦合模型等方面，主要成果发表在ARMA、SIAM-JMA、CVPDE、JDE等国际学术期刊。先后主持国家自然科学基金青年项目、面上项目各1项。

邀请人：严凯

时间：2024年5月30日（星期四） 11:00-13:00

地点：东三十一楼119会议室